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PAPERS

Papers Published in the International Journals (The papers written in bold are in SCI, SCI-Exp, ESCI or Web of Science Journals) (Corresponding authors are underlined)

 

01)  Cangül, İ. N., Normal Subgroups of the Hecke Group H(), Commun. Fac. Sci. Univ. Ank. Series A1, 43 (1994), 129-135

02)  Cangül, İ. N., Normal Subgroups of the Hecke Groups and Regular Maps, Hacettepe Bull. of Nat. Sci. and Eng., 24 (1995), 15-23

03)  Cangül, İ. N., The Group Structure of Hecke Groups H(lambda_q), Tr. J. of Mathematics, 20 (1996), 203-207

04)  Cangül, İ. N., About the Connection between Regular Maps and Triangle Groups, J. of The Faculty of Arts and Science of Sakarya University (1996), 33-35

05)  Cangül, İ. N., The Minimal Polynomials of cos (2*pi/n) over Q, Problemy Matematyczne, 15 (1997), 57-62

06)  Cangül, İ. N. & Bizim, O., Construction of some Finite Classes of Normal Subgroups of Hecke Groups, Problemy Matematyczne, 15 (1997), 47-55.

07)  Cangül, İ. N., About some Normal Subgroups of Hecke Groups, Tr. J. of Mathematics, 21 (1997), 143-151

08)  Cangül, İ. N. & Singerman, D., Normal Subgroups of Hecke Groups and Regular Maps, Math. Proc. Camb. Phil. Soc., 123 (1998), 59-74

09)  Cangül, İ. N., Bizim, O., Normal subgroups of Hecke groups on sphere and torus, Tr. J. Mathematics, 22 (1998), 369-377

10)  Kaynak, G. & Ergül, R. & Cangül, İ. N., A New Approach to the Determination of Total Electron Density by Atomic Form Factor, Sci. Int. 11 (1) (1999), 1-2

11)  Cangül, İ. N., Normal subgroups and elements of H'(),Tr. J. Mathematics, 23 (1999), 251-256

12)  Cangül, İ. N. & Bizim, O., Cycloidal Normal Subgroups of Hecke Groups of Finite Index, Tr. J. Mathematics, 23 (1999), 345-354

13)  Yılmaz, N. & Cangül, İ. N., Normal Subgroups of Hecke Group H(5), Bull of Academia Sinica, 28 (4) (2000), 277-283

14)  Yılmaz, N. & Cangül, İ. N., Conjugacy classes of Elliptic elements in the Picard group, Tr. J. Maths, 24 (2000), 209-220

15)  Yılmaz, N. & Cangül, İ. N., The Normaliser of the Modular Group in the Picard Group, Bull of Academia Sinica, 28 (2000), 125-129

16)  Cangül, İ. N., Determining Isomorphism class of a Fuchsian group from its signature, Bull of Academia Sinica, 29 (2001), 313-316

17)  Yılmaz, N. & Cangül, İ. N., Power subgroups of Hecke groups H(), Int. J. of Mathematics and Mathematical Sciences, 25 (2001), 703-708

18)  Cangül, İ. N. & Bizim, O., Commutator subgroups of Hecke Groups, Bull of Academia Sinica, 30 (2002), 253-259

19)  Cangül, İ. N. & Bizim, O., Congruence subgroups of some Hecke Groups, Bull of Academia Sinica, 30 (2002), 115-131

20)  Yılmaz Ozgur, N. & Cangül, İ. N., On the group structure and parabolic points of the Hecke Group H(l), Proceedings of the Estonian Academy of Sciences, 51 (2002), 35-46

21)  Türker-Ulutaş, Y. & Cangül, İ. N., One Relator Quotients of the Hecke Group H((1+)/2), Bull of Academia Sinica, 31 (2003), 59-74

22)  Cangül, İ. N. & Bizim, O., Small indexed normal subgroups of Hecke Group H((1+)/2), The Southeast Asian Bulletin of Mathematics, 27 (2004), 791-794

23)  Cangül, İ. N. & Yılmaz-Özgür, N., On the Principal Congruence Subgroups of the Hecke-Group H(), Beitrage zur Algebra und Geometrie: Contributions to Algebra and Geometry , 45 (2004), 75-85

24)  Şahin, R., Bizim, O. & Cangül, İ. N., Commutator Subgroups of the Extended Hecke Groups H(l), Czechoslovak Mathematical Journal, 54 (129) (2004), 253-259

25)  Türker-Ulutaş, Y. & Cangül, İ. N., One Relator Quotients of the Modular Group, Bull of Academia Sinica, 32 (2004), 291-296

26)  Cangül, İ. N., Demirci, M., Soydan, G., Yıldız-İkikardeş, N., Rational Points on Elliptic Curves y^2 = x^3 + a^3 in F_p, Proc. 16th Int. Conf. Jangjeon Math. Soc., 16 (2005), 26-33

27)  Özdemir, H. B., Demirci, M., Cangül, İ. N., A method for finding normal subgroups of Hecke groups, Proc. of the Jangjeon Math. Soc., 9 (2006), 51-55

28)  Özdemir, H. B., Demirci, M., Cangül, İ. N., Determining the Signature of Normal Subgroups of Discrete Groups, International Journal of Contemporary Mathematical Sciences, http://dx.doi.org/10.12988/ijcms.2006.060041, (2006), 25-30

29)  Özdemir, H. B., Ulutas, Y. T., Cangül, İ. N., Normal Subgroups of the Hecke Group H(root2) Corresponding to One Relator Quotients of Small Order, International Journal of Contemporary Mathematical Sciences, 1 (2006), 15-23

30)  Doğan, S., Demirci, M., Bizim, O., Cangül, İ. N., A Constructive Method for the Cycloidal Normal Free Subgroups of Finite Index of Hecke Groups H(√2) and H(√3), Bull of Academia Sinica, 3 (2006), 429-436

31)  Demirci, M., Cangül, İ. N., A Class of Congruence Subgroups of Hecke Group H (λ5), Bull of Academia Sinica, 4 (2006), 549-556

32)  Demirci, M., Soydan, G., Cangül, İ. N., Diophantine Equations and Congruence Subgroups of the Hecke Groups H (√2) and H (√3), Adv. Studies in Contemporary Maths., 12 (2006), 309-313

33)  Tekcan, A., Bizim, O., Cangül, İ. N., The Number of Representations of Positive Integers by Positive Quadratic Forms, Proc. Jangjeon Math. Soc., 9-2 (2006), 125-136

34)  İnam, İ., Soydan, G., Demirci, M., Bizim, O., Cangül, İ. N., Corrigendum on “The Number of Points on Elliptic Curves E: y^2 = x^3 + cx over F_p mod 8, Communications of the Korean Math. Soc., 22-2 (2007), 207-208

35)  Türker Ulutaş, Y., Cangül, İ. N., One Relator Quotient Groups of the Hecke Group H() of Finite Index, J. of Appl. Funct. Differential Equations, (2007)

36)  Demirci, M., Soydan, G., Cangül, İ. N., Rational Points on Elliptic Curves y2 = x3+a3 in Fp where p = 1 (mod 6) is prime, Rocky Mountain J. of  Mathematics, 37 (5) (2007), 1483-1491

37)  Cangül, İ. N., Şahin, R., İkikardeş, S., Koruoğlu, Ö., Power Subgroups of some Hecke groups II, Houston J. of Mathematics, 33 (2007), 33-42

38)  Cangül, İ. N., Kurt, V., Şimşek, Y., Pak, H. K., Rim, S.-H., An Invariant p-adic q-Integral Associated with q-Euler Numbers and Polynomials, J. of Nonlinear Mathematical Physics, 14-1 (2007), 8-14

39)  İnam, İ., Bizim, O., Cangül, İ. N., Rational Points on Frey Elliptic Curves y^2 = x^3 – n^2x , Adv. Studies in Contemporary Maths., 14-1 (2007), 69-76

40)  Soydan, G., İkikardeş, N. Y., Demirci, M., Cangül, İ. N., On the Additive Structure of the Set of Quadratic Residues Modulo p, Adv. Studies in Contemporary Maths., 14-2 (2007), 251-257

41)  İkikardeş, S., Koruoğlu, Ö., Şahin, R., Cangül, İ. N., One Relator Quotients of the Hecke Group H(l7), Int. J. Math. Sci., (2007),

42)  Özden, H., Şimşek, Y., Rim, S-H., Cangül, İ. N., A Note on p-adic q-Euler Measure, Adv. Studies in Contemporary Maths., 14-2 (2007), 233-239

43)  Özden, H., Şimşek, Y., Cangul, İ. N., Euler polynomials associated with p-adic q-Euler measure, General Mathematics, 15 (2-3) (2007), 24-37

44)  Demirci, M., Soydan, G., İkikardeş, N. Y., Cangül, İ. N., Rational Points on Frey elliptic curves on finite fields, Advances in Theoretical and Applied Mathematics, 2 (2007), 129-136

45)  Soydan, G., Demirci, M., İkikardeş, N. Y., Cangül, İ. N., Counting the Number of Pythagorean Triples in Finite Fields, Advances in Theoretical and Applied Mathematics, 2 (2007), 77-82.

46)  İkikardeş, N. Y., Soydan, G., Demirci, M., Cangül, İ. N., Classification of the Bachet Elliptic Curves y2 = x3 + a3 in Fp, where p º 1 (mod 6) is Prime, Int. J. of Mathematics Sciences, 1 (4) (2007), 239-241.

47)  Soydan, G., Demirci, M., İkikardeş, N. Y., Cangül, İ. N., Rational Points on Elliptic Curves y2 = x3 + a3 in Fp, where p º 5 (mod 6) is Prime, Int. J. of Mathematics Sciences, 1 (4) (2007), 247-250.

48)  Demirci, M., İkikardeş, N. Y., Soydan, G., Cangül, İ. N., The Number of Rational Points on Elliptic Curves y2 = x3 + a3 on Finite Fields, Int. J. of Mathematics Sciences, 1 (4) (2007), 255-257.

49)  İkikardeş, N. Y., Demirci, M., Soydan, G., Cangül, İ. N., The group structure of Frey elliptic curves over finite fields F_p, Journal of Algebra, Number Theory and Applications, 10 – 2 (2008), 255-262.

50)  Şimşek, Y., Cangül, İ. N., Kurt, V., Kim, D., q-Genocchi Numbers and Polynomials Assoc. With q-Genocchi-type l-Functions, Advances in Difference Equations, (2008), Article ID 815750, doi:10.1155/2008/815750, 1-12

51)  Ozden, H., Cangul, I. N., Simsek, Y., Multivariate Interpolation Functions of Higher order q-Euler Numbers and Their Applications, Abstract and Applied Analysis (2008), Article ID 390857, DOI: 10.1155/2008/390857, 1-16

52)  Cangül, İ. N., Özden, H., Şimşek, Y., Generating Functions of the (h,q) Extension of Twisted Euler Polynomials and Numbers, Acta. Math. Hungar. 120 (3), (2008), 281-299.

53)  Özden, H., Cangül, İ. N., Şimşek, Y., Remarks on sum of products of (h,q)-twisted Euler Polynomials and Numbers, Journal of Inequalities and Applications, (2008), Article ID: 816129, DOI: 10.1155/2008/816129

54)  Cangul, I. N., Cevik, S., Koruoglu, O., The isomorphism between two fundamental groups by Cayley graphs, Adv. Studies in Contemporary Maths., 17 (1), (2008), 17-23.

55)  Soydan, G., Demirci, M., Cangül, İ. N., The Diophantine Equation x^2 + 11^m = y^n, Adv. Studies in Contemporary Maths., 19 (2009), No: 2, 183-188

56)  Ozden, H., Cangul, I. N., Simsek, Y., Hurwitz type multiple Genocchi zeta function, Numerical Analysis and Applied Mathematics, Computational Methods in Science and Engineering, AIP Conference Proceedings, 1148, (2009), 781-784

57)  İkikardeş, S., Koruoğlu, Ö., Şahin, R., Cangül, İ. N., One relator quotients of the extended Modular Group, Adv. Studies in Contemporary Maths., 17 (2) (2008), 203-210

58)  Cangül, İ. N., Özden, H., Şimşek, Y., A new approach to q-Genocchi numbers and their interpolation functions, Nonlinear Analysis Series A: Theory, Methods & Applications, 71 (2009), 793-799

59)  Özden, H., Cangül, İ. N., Şimşek, Y., On the behavior of two variable twisted p-adic Euler q-l-Functions, Nonlinear Analysis Series A: Theory, Methods & Applications 71 (2009), 942-951

60)  İnam, İ., Yurttaş, A., Bizim, O., Cangül, İ. N., Bernoulli-Frey Elliptic Curves, Advances and Applications in Mathematical Sciences, (2009)

61)  Özden, H., Cangül, İ. N., Şimşek, Y., Remarks on q-Bernoulli numbers associated with Daehee numbers, Adv. Studies in Contemporary Maths., 18/1 (2009), 41-48

62)  Cevik, S., Cangul, I. N., Matroids in terms of Cayley Graphs and some related results, General Mathematics, 17/2, 87-97, (2009)

63)  İkikardeş, N. Y., Demirci, M., Soydan, G., Cangül, İ. N., The Group Structure of Bachet Elliptic Curves over Finite Fields F_p, Miskolc Mathematical Notes, 10 (2009), No:2, 129-136

64)  Yurttas, A., Demirci, M., Ozbay, H., Capkin, M., Cangul, I. N., Construction of cycloidal free subgroups of Hecke groups of finite index, JP Journal of Algebra, Number Theory and Applications, 14 (2) (2009), 191-201

65)  Cangul, I. N., Kurt, V., Ozden, H., Simsek, Y., On the higher order w-q-Genocchi numbers, Adv. Studies in Contemporary Maths., 19/1, (2009), 39-57

66) İkikardeş, S., Şahin, R., Cangül, I. N., Principal Congruence Subgroups of the Hecke Groups and Related Results, Bulletin of the Brazilian Mathematical Society, New Series 40 (4) (2009), 479-494

67) Acikgoz, M., Cangul, I. N., Kim, D. and Simsek, Y., Applications of Hecke operator to generalized Dedekind Eta function, Numerical Analysis and Applied Mathematics, AIP Conference Proceedings, 1168 (2009), 568-571

68) Cangul, I. N., Soydan, G., Simsek, Y., A p-adic look at the Diophantine equation x2+112k = yn, Numerical Analysis and Applied Mathematics, AIP Conference Proceedings, 1168 (2009), 275-277

69) Cangul, I. N., Demirci, M., Soydan, G., Tzanakis, N., On the Diophantine Equation x^2 +5^a 11^b = y^n, Functiones et Approximatio Commentarii Mathematici, Volume 43, Number 2 (2010), 209-225

70) Cangul, I. N., Demirci, M., Luca. F., Pinter, A., Soydan, G., On the Diophantine Equation x2+2a.11b = yn, Fibonacci Quart., 48 (2010), 39-46

71) Koruoğlu, O., Sahin, R., Ikikardes, S, Cangul, I. N., Normal subgroups of Hecke Groups H(l), Algebras and Representation Theory, 13 (2010), 219-230

72) Sahin, R., Ikikardes, S., Koruoğlu, O., Cangul, I. N., The Connections Between Continued Fraction Representations of Units and the Hecke Groups, Bulletin of the Malaysian Mathematical Sciences Society, 33 (2) (2010), 205-210 

73) Tekcan, A., Alkan, H., Ozkoc, A., Cetin, E. & Cangul, I. N., Rational Points on curves over finite fields, Antartica J. of Mathematics, 7 (2010), 431-437

74) Cangul, I. N., Simsek, Y., A note on interpolation functions of the Frobenious-Euler numbers, Applications of Mathematics in Technical and Natural Sciences, 1301 (2010), 59-67

75) Cangul, I. N., Demirci, M., Yurttas, A., Güzel Karpuz, E., Ates, F., Determination of Genus of Normal Subgroups of Discrete Groups, Numerical Analysis and Applied Mathematics, 1281 (2010), 1148-1151

76)  Namli, D., Cangul, I. N., Cevik, A. S., Gungor, A. D., Tekcan, A., Primes in Z[exp(2pi/3)], Numerical Analysis and Applied Mathematics, 1281 (2010), 1129-1132

77)  Cevik, A. S., Gungor, A. D., Güzel Karpuz, E., Ates, F., Cangul, I. N., A new example of deficiency one groups, Numerical Analysis and Applied Mathematics, 1281 (2010), 1111-1116

78)  Gungor, A. D., Cevik, A. S., Güzel Karpuz, E., Ates, F., Cangul, I. N., Generalisation for Estrada index, Numerical Analysis and Applied Mathematics, 1281 (2010), 1106-1110

79)  Güzel Karpuz, E., Ates, F., Cangul, I. N., Gungor, A. D., Cevik, A. S., On the Norms of Toeplitz and Hankel Matrices with Pell Numbers, Numerical Analysis and Applied Mathematics, 1281 (2010), 1117-1120

80)  Ates, F., Güzel Karpuz, E., Gungor, A. D., Cevik, A. S., Cangul, I. N., On the Efficiency of Semi-Direct Products of Finite Cyclic Monoids by One-Relator Monoids, Numerical Analysis and Applied Mathematics, 1281 (2010), 1121-1124

81)  Tekcan, A., Ozkoc, A, Cangul, I. N., Indefinite quadratic forms and their neighbours, Numerical Analysis and Applied Mathematics, 1281 (2010), 1102-1105

82)  Güzel Karpuz, E., Ateş, F., Çevik, A. S., Cangul, I. N., Maden, A. D., The Next Step of the Word Problem for Monoids, Applied Mathematics and Computation, 218 (3), (2011), 794-798

83)  Ozkoç, A., Tekcan, A., Cangul, I. N., Solving Some Parametric Quadratic Diophantine Equation over Z and F_p, Applied Mathematics and Computation, 218 (3), (2011), 703-706

84)  Acıkgoz, M., Aracı, S., Cangul, I. N., A note on the modified q-Bernstein polynomials for functions of several variables and their reflections on q-Volkenborn integration, Applied Mathematics and Computation,  218 (3), (2011), 707-712

85)  Ranjini, P. S., Lokesha, V., Cangul, I. N., On the Zagreb Indices of the Line Graphs of the Subdivision Graphs, Applied Mathematics and Computation, 218 (3), (2011), 699-702

86)  Cangul, I. N., Professor H. M. Srivastava: Man and Mathematician, Applied Mathematics and Computation, 218 (3), (2011), 655-657

87)  Cangul, I. N., Cho, N. E., Choi, J., Preface of Special Issue in Honour of Hari M. Srivastava on his 70th Birth Anniversary, Applied Mathematics and Computation, 218 (3), (2011), 653-654

88)  Tekcan, A., Özkoc, A., Cetin, E., Alkan, H., Cangul, I. N., Quadratic Forms, Elliptic Curves and Integer Sequences, Acta Universitatis Apulensis, 25 (2011), 9-30

89)  Togan, M., Ozgur, B., Cangul, I. N., Some Special Cases of the Minimal Polynomial of 2cos(\pi/q) over Q, Numerical Analysis and Applied Mathematics, AIP Conf. Proc. 1389 (2011), 375-377

90)  Cetin, E., Ozbay, H., Togan, M., Cangul, I. N., Properties of n-th degree Bernstein polynomials, Numerical Analysis and Applied Mathematics, AIP Conf. Proc., 1389 (2011), 392-395

91)  Demirci, M., Yurttas, A., Cangul, I. N., Upper bounds for the level of normal subgroups of Hecke groups, Numerical Analysis and Applied Mathematics, AIP Conf. Proc., 1389 (2011), 337-340

92)  Yurttas, A., Demirci, M., Cangul, I. N., Classification of normal subgroups of Hecke group H6 in terms of parabolic class number, Numerical Analysis and Applied Mathematics, AIP Conf. Proc., 1389 (2011), 315-316

93)  Ozgur, B., Demirci, M., Yurttas, A., Cangul, I. N., Some properties of the minimal polynomials of 2cos(\pi/q) for odd q, Numerical Analysis and Applied Mathematics, AIP Conf. Proc., 1389 (2011), 353-356

94)  Demirci, M., Yildiz Ikikardes, N., Ozgur, B., Cangul, I. N., The minimal polynomial of 2cos(\pi/2k) over the rationals, Numerical Analysis and Applied Mathematics, AIP Conf. Proc., 1389 (2011), 325-328

95)  Bayad, A., Cangul, I. N., The Minimal Polynomial of 2cos(\pi/q) and Dickson Polynomials, Applied Mathematics and Computation, 218 (2012), 7014-7022

96) Srivastava, H. M., Ozden, H., Cangul, I. N., Simsek, Y., A Unified Presentation of Certain Meromorphic Functions Related to the Families of the Partial Zeta Type Functions and the L-Functions, Applied Mathematics and Computation, 219 (2012), 3903-3913

97) Yurttas, A., Ozgur, B., Cangul, I. N., Calculation of the minimal polynomial of 2cos(\pi/n) over Q with Maple, Numerical Analysis and Applied Mathematics, AIP Conf. Proc., 1479 (2012), 371-374, Kos, Greece, 19-25.09.2012

98)  Ozgur, B., Yurttas, A., Cangul, I. N., Determining the minimal polynomial of cos(2\pi/n) over Q with Maple, Numerical Analysis and Applied Mathematics, AIP Conf. Proc., 1479 (2012), 368-370, Kos, Greece, 19-25.09.2012

99)  Cangul, I. N., Yurttas, A., Togan, M., Cevik, A. S., Some Formulae for the Zagreb Indices of Graphs, Numerical Analysis and Applied Mathematics, AIP Conf. Proc., Kos, Greece, 19-25.09.2012

100)  Ozden, H.; Cangul, I.N.; Simsek, Y. Generalized q-Stirling Numbers and Their Interpolation Functions. Axioms 2013, 2, 10-19

101)   Cangul, I. N., Cevik, A. S., Simsek, Y., Analysis Approach to Finite Monoids, Fixed Point Theory and Applications, 15, doi:10.1186/1687-1812-2013-15, 2013

102)   Das, K. Ch., Yurttas, A., Togan, M., Cangul, I. N., Cevik, A. S., The Multiplicative Zagreb Indices of Graph Operations, Journal of Inequalities and Applications, 90, doi:10.1186/1029-242X-2013-90, 2013, 1-14

103)   Cetin, E., Acikgoz, M., Cangul, I. N., Araci, S., A Note on the (h,q)-Zeta Type Function with Weight a, Journal of Inequalities and Applications, 100, DOI: 10.1186/1029-242X-2013-100, 2013

104)   Das, K. Ch., Cangul, I. N., Maden, A. D., Cevik, A. S., On the Spectral Radius of Bipartite Graphs which are Nearly Complete, Journal of Inequalities and Applications, 121, doi:10.1186/1029-242X-2013-121, 2013

105)  Cangul, I. N., Cevik, A. S., Simsek, Y., A new approach to connect Algebra with Analysis: Relationships and Applications between Presentations and Generating Functions, Boundary Value Problems,51, doi:10.1186/1687-2770-2013-51, 2013

106)   Demirci, M., Cangul, I. N., The Constant Term of the Minimal Polynomial of cos(2*\pi/n) over Q, Fixed Point Theory and Applications, 77, DOI: 10.1186/1687-1812-2013-77, 2013

107)   Güzel Karpuz, E., Ates, F., Cevik, A. S., Cangul, I. N., The Graph Based on Gröbner-Shirshov Bases of Groups, Fixed Point Theory and Applications, 71, doi:10.1186/1687-1812-2013-71, 2013

108)   Cevik, A. S., Das, K. Ch., Simsek, Y., Cangul, I. N., Some Array Polynomials over Special Monoid Presentations, Fixed Point Theory and Applications, 44, doi:10.1186/1687-1812-2013-44, 2013

109)   Güzel Karpuz, E., Das, K. Ch., Cangul, I. N., Cevik, A. S., A New Graph Based on the Semi-direct Product of Some Monoids, Journal of Inequalities and Applications, 118, doi:10.1186/1029-242X-2013-118, 2013

110)   Lokesha, V., Shetty, S. B., Cangul, I. N., Ranjini, P. S., Cevik, A. S., New Bounds for Randic and GA Indices, Journal of Inequalities and Applications, 2013:180,d DOI: 10.1186/1029-242X-2013-180

111)   Akgunes, N., Das, Kinkar Ch., Cangul, I. N., Cevik, A. S., Some Properties on the Lexicographic Product of Graphs Obtained by Monogenic Semigroups, Journal of Inequalities and Applications, DOI: 10.1186/1029-242X-2013-238

112)   Das, Kinkar Ch., Cevik, A. S., Cangul, I. N., The Number of Spanning Trees of a Graph, Journal of Inequalities and Applications, DOI: doi:10.1186/1029-242X-2013-395, (2013), 1-12

113)   Emin, A., Ates, F., Ikikardes, S., Cangul, I. N., A New Monoid Construction Under Crossed Products, Journal of Inequalities and Applications, 2013

114)  Cangul, I. N., Demirci, M., Inam, I., Luca. F., Soydan, G., On the Diophantine Equation x2+2a.3b.11c = yn, Mathematica Slovaca, 63/3 (2013), 1-13

115)   Das, Kinkar Ch.,  Xu, K., Cangul, I. N., Cevik, A. S., Graovac, A., On the Harary Index of Graph Operations, Journal of Inequalities and Applications, SI: Recent Advances in General Inequalities, DOI: 10.1186/1029-242X-2013-339, 2013, 1-16

116)   Cangul, I. N., Professor H. M. Srivastava: Man and Mathematician, Boundary Value Problems, 2013

117)    Cangul, I. N., Professor H. M. Srivastava: Man and Mathematician, Advances in Difference Equations, 2013

118)   Cangul, I. N., Cho, N. E., Djordjevic, D. S., Preface, Journal of Inequalities and Applications, 2013

119)   Cangul, I. N., Choi, J., Sharma, S. K., Preface, Fixed Point Theory and Applications, 2013

120)   Cangul, I. N., Choi, J., Cvijovic, D., Preface, Boundary Value Problems, 2013

121)    Cangul, I. N., Cvijovic, D., Preface, Advances in Difference Equations, 2013

122)  Cangul, I. N., Professor H. M. Srivastava: Man and Mathematician, Fixed Point Theory and Applications, 2013:226 doi:10.1186/1687-1812-2013-226 2013

123)   Cangul, I. N., Professor H. M. Srivastava: Man and Mathematician, Journal of Inequalities and Applications 2013, 2013:413 doi:10.1186/1029-242X-2013-413

124)   Karpuz, E. G., Cevik, A. S., Koppitz, J., Cangul, I. N., Some fixed-point results on (generalized) Bruck-Reilly *-extensions of monoids, Fixed Point Theory and Applications, 2013:226 doi:10.1186/1687-1812-2013-226 2013

125)   Soydan, G., Cangul, I. N., Note on "On the Diophantine equation nx^2+2^2m=y^n" [Y. Wang, T. Wang, J. Number Theory 131 (2011) 1486-1491], Journal of Number Theory, 2013 DOI: 10.1016/j.jnt.2013.12.009

126)   Araci, S., Acikgoz, M., Cangul, I. N., Some new identities on the h,q-Genocchi Numbers and Polynomials with Weight a, Journal of Analysis & Number Theory, 2, No. 2, 45-49 (2014)

127)   Cevik, A. S., Das, Kinkar Ch., Cangul, I. N., Maden, A. D., Minimality over Free Monoid Presentations, Hacettepe J. Maths, 43 (6), 899-913, 2014

128)   Cetin, E., Simsek, Y., Cangul, I. N., Some special finite sums related to the three-term polynomial relations and their applications, ADE, 283, 1-18 (2014), DOI: 10.1186/1687-1847-2014-283

129)   Cangul, I. N., Cevik, A. S., Simsek, Y., Generalization of q-Apostol-type Eulerian numbers and polynomials, and their interpolation functions, Advanced Studies in Contemporary Mathematics 25 (2) (2015), 211-220

130)   Togan, M., Yurttas, A., Cangul, I. N., Some formulae and inequalities on several Zagreb indices of r-subdivision graphs,Enlightments of Pure and Applied Mathematics (EPAM), 1 (1), 2015, 29-45 (F-2012/19 and F-2013/23)

131)   Lokesha, V., Shetty, S. B., Ranjini, P. S., Cangul, I. N., Computing ABC, GA, Randic and Zagreb Indices, Enlightments of Pure and Applied Mathematics (EPAM), 1 (1), 2015, 17-28

132)   Ranjini, P. S., Lokesha, V., Cevik, A. S., Cangul, I. N., Sharp Bounds for SZ, PI and GA_2 Indices in Terms of the Number of Triangles, Ilirias Journal of Mathematics, 4:1 (2015), 41-49 (F2013-23, F-2013-87, 2015-17 and 2015-23)

133)   Hosamani, S. M., Basavanagoud, B., Cangul, I. N., The First Geometric-Arithmetic Index of Graph Operations, Advances and Applications in Mathematical Sciences, 14 (6) (2015), 155-163

134)   Guzel Karpuz, E., Ates, F., Cangul, I. N., Cevik, A. S., A presentation and some finiteness conditions for a new version of the Schützenberger product of monoids, Turkish Journal of Mathematics, 40 (2016), 224-233 (F-2015/17 and F-2015/23)

135)  Güzel Karpuz, E., Ates, F., Urlu, N., Cevik, A. S., Cangul, I. N., A Note on the Gröbner-Shirshov Bases over Ad-hoc Extensions of Groups, Filomat, 30:4 (2016), 1037-1043, DOI 10.2298/FIL1604037K (F-2015/17, 2013/23, 2015/23 and 2015/87)

136)  Adiga, Chandrashekar, Cangul, I. N., Ramaswamy, H. N., On the constant term of the minimal polynomial of cos (2 \pi /n) over Q, Filomat 30:4 (2016), 1097-1102, DOI 10.2298/FIL1604097A (F-2013-23, F-2013-87, F-2015-17 and F-2015-23)

137)   Bindusree, A. R., Cangul, I. N., Lokesha, V., Cevik, A. S., Zagreb Polynomials of three Graph Operators, Filomat 30 (7) (2016), 1979-1986, DOI 10.2298/FIL1607979B (2013/23, 2014/24, 2015/17)

138)  Guzel Karpuz, E.,Ates, F., Cangul, I. N., Cevik, A. S., Finite Derivation Type for Graph Products of Monoids, Filomat, 30 (7) (2016), 1987-1995, DOI 10.2298/FIL1607987K (F-2013/23, F-2014/24 and F-2015/17)

139)   Togan, M., Yurttas, A., Cangul, I. N., All versions of Zagreb indices and coindices of subdivision graphs of certain graph types, Advanced Studies in Contemporary Mathematics, 26 (1) (2016), 227-236 (F-2012/19, F-2013/23, F-2015/17 and F-2015/23)

140)   Das, Kinkar Ch., Akgunes, N., Togan, M., Yurttas, A., Cangul, I. N., Cevik, A. S., On the first Zagreb index and multiplicative Zagreb coindices of graphs, Analele Stiintifice ale Universitatii Ovidius Constanta, 24 (1) (2016), 153-176 DOI: 10.1515/auom-2016-0008

141)   Ates, F., Cangul, I. N., Cetinalp, E. K., Cevik, A. S., Guzel Karpuz, E., On Commutator and Power Subgroups of Some Coxeter Groups, Applied Mathematics and Information Sciences, 10 (2) (2016), 777-783 DOI: 10.18576/amis/100238

142)   Yurttas, A., Togan, M., Cangul, I. N., Zagreb indices and multiplicative Zagreb indices of subdivision graphs of double graphs, Advanced Studies in Contemporary Mathematics, 26 (3) (2016), 407-416 (F-2015/17, F-2015/23 and F-2016/9)

143)   Hosamani, S. M., Lokesha, V., Cangul, I. N., Devendraiah, K. M., On Certain Topological Indices of the Derived Graphs of Subdivision Graphs, Turkic World of Mathematical Sciences, Journal of Applied Engineering Mathematics, 6 (2) (2016), 324-332

144)   Das, Kinkar Ch., Maden, A. D., Cangul, I. N., Cevik, A. S., On Average Eccentricity of Graphs, Proceedings of the National Academy of Sciences, India Section A : Physical Sciences, 87 (1) (2017), 23-30 DOI: 10.1007/s40010-016-0315-8 (F-2016/9, F-2015/23 and F-2015/17)

145)   Lokesha, V., Deepika, T., Ranjini, P. S., Cangul, I. N., Operations of Nanostructures via SDD, ABC_4 and GA_5 Indices, Applied Mathematics and Nonlinear Sciences, 2 (1) (2017), 173-180 DOI: 10.21042/AMNS.2017.1.00014 (http://journals.up4sciences.org/applied_mathematics_and_nonlinear_sciences/article/operations_of_nanostructures_via_sdd_$abc_4$_and_$ga_5$_indices.html)

146)   Celik, F., Cangul, I. N., Formulae and Recurrence Relations on Spectral Polynomials of Some graphs, Advanced Studies in Contemporary Mathematics 27 (3) (2017), 325-332, DOI: 10.17777/ascm2017.27.3.325 (F-2015/17 and  F-2015/23)

147)   Reddy, P. S. K., Prakasha, K. N., Cangul, I. N., Partition Laplacian Energy of a Graph, Advanced Studies in Contemporary Mathematics 27 (4) (2017), 477-494 (F-2015/17)

148)   Lokesha, V., Deepika, T., Cangul, I. N., Symmetric Division Deg and Inverse Sum Indeg Indices of Polycyclic Aromatic Hydrocarbons (PAHs) and Polyhex Nanotubes, Southeast Asian Bulletin of Mathematics 41 (2017), 707-715 (F-2013/23, F-2015/17 and F-2015/23)

149)   Cangul, I. N., Yurttas, A., Togan, M., Cevik, A. S., New Formulae for Zagreb Indices, The Proceedings of AIP 1863, 300013 (2017); doi: 10.1063/1.4992462 (F-2015/17, F-2015/23)

150)   Soydan, G., Demirci, M., Cangul, I. N., Togbe, A., On the Conjecture of Jesmanovicz, International Journal of Applied Mathematics and Statistics, 56 (6) (2017), 46-72, ISSN 0973-1377 (Print), ISSN 0973-7545 (Online) (F-2015/23, F-2016/9, F-2015/18)

151)   Sanli, U., Cangul, I. N., A New Method for Calculating the Chromatic Polynomial, Applied Sciences (APPS), 19 (2017), 110-121 (F-2015/17)

152)   Togan, M., Yurttas, A., Cangul, I. N., Zagreb and multiplicative Zagreb indices of r-subdivision graphs of double graphs, Scientia Magna, 12 (1) (2017),  115-119.

153)   Prakasha, K. N., Reddy, P. S. K., Cangul, I. N., Minimum Covering Randic Energy of a Graph, Kyungpook Mathematical Journal, 57 (2017), 701-709 (F-2015/17, 2015/23 and 2016/9)

154)   Prakasha, K. N., Reddy, P. S. K., Cangul, I. N., Symmetric Division Deg Energy of a Graph, Turkish Journal of Analysis and Number Theory, 5 (6), 202-209 (2017) DOI:10.12691/tjant-5-6-2

155)   Lokesha, V., Deepika, T., Cangul, I. N., Computing the M-polynomials for 2D-Lattice, Nanotube and Nanotorus by operating the semi-total line and point graphs via degree-based indices, Tamap Journal of Mathematics and Statistics Volume 2017, Article ID 23, 1-22

156)   Gutman, I., Togan, M., Yurttas, A., Cevik, A. S., Cangul, I. N., Inverse problem for sigma index, MATCH Commun. Math. Comput. Chem., 79 (2), (2018), 491-508

157)   Delen, S., Cangul, I. N., A New Graph Invariant, Turkish Journal of Analysis and Number Theory, 6 (1), (2018), 30-33 DOI: 10.12691/tjant-6-1-4

158)   Ozden, H., Cangul, I. N., Some Quotients of the Modular Group, Palestinian Journal of Mathematics, 7 (2) (2018), 521-526

159)   Lokesha, V., Manjunath, M., Chaluvaraju, B., Devendraiah, K. M., Cangul, I. N., Cevik, A. S., Computation of adriatic indices of certain operators of regular and complete bipartite graphs, Advanced Studies in Contemporary Mathematics, 28 (2) (2018), 231-244

 

 

3)  Accepted Papers

 

160)   Yurttas, A., Togan, M., Cevik, A. S., Cangul, I. N., Effect of Edge Deletion and Addition on Zagreb Indices of Graphs, "Mathematical Methods in Engineering: Theoretical Aspects", Springer 2018 (F-2015/17)

161)   Akgunes, N., Cevik, A. S., Cangul, I. N., A note on the upper bound of average distance via irregularity index, "Mathematical Methods in Engineering: Theoretical Aspects", Springer 2018 (F-2015/17)

162)   Sridhara, G., Kanna, M. R. R., Jagadeesh, R., Cangul, I. N., Improved McClelland and Koolen-Moulton Bounds for the Energy of Graphs, Scientia Magna 2018

163)   Celik, F., Cangul, I. N., Some Recurrence Relations for the Energy of Cycle and Path Graphs, Proceedings of the Jangjeon Mathematical Society, 2018

164)   Mishra, V. N., Delen, S., Cangul, I. N., Algebraic Structure of Some Graph Operations in Terms of Degree Sequences,  International Journal of Analysis and Applications, 2018

165)  Ascioglu, M., Cangul, I. N., Sigma Index and Forgotten Index of the Subdivision and r-Subdivision Graphs, Proceedings of the Jangjeon Mathematical Society, 21 (2), (2018)

166)   Yamac, C., Oz, M. S., Cangul, I. N., Edge Adjacency in Graphs, Proceedings of the Jangjeon Mathematical Society, 21 (2), (2018)

167)   Alwardi, A., Alqesmah, A., Rangarajan, R., Cangul, I. N., On the entire Zagreb indices of graphs, Discrete Mathematics, Algorithms and Applications, 10 (2018)

168)   Togan, M., Yurttas, A., Cangul, I. N., Zagreb Indices and Multiplicative Zagreb Indices of Double Graphs of Subdivision Graphs, Turkic World of Mathematical Society Journal of Applied and Engineering Mathematics, (2019) (F-2015/17)

169)   Mishra, V. N., Delen, S., Cangul, I. N., Degree Sequences of Join and Corona Products of Graphs, EJMAA-Electronic Journal of Analysis and Applications, 7 (1)  (2019) 5-13

170)   Yurttas, A., Togan, M., Cangul, I. N., Zagreb Indices of Graphs with Added Edges, Proceedings of the Jangjeon Mathematical Society, (2018)

171)   Yamac, C., Oz, M. S., Cangul, I. N., Edge-Zagreb Indices of Graphs, Turkic World of Mathematical Society Journal of Applied and Engineering Mathematics, (2019)

172)   Celik, F., Cangul, I. N., On the Spectra of Cycles and Paths, Turkic World of Mathematical Society Journal of Applied and Engineering Mathematics, (2019)

173)   Basavanagoud, B., Desai, V. R., Cangul, I. N., Four new tensor products of graphs and their Zagreb indices and coindices, Electronic Journal of Mathematical Analysis and Applications, 7(1) (2019), 65-75

174)   Ascioglu, M., Cangul, I. N., Narumi-Katayama Index of the Subdivision Graphs, Journal of Taibah University for Science

175)   Yurttas, A., Togan, M., Cangul, I. N., Relations between the first and second Zagreb indices of subdivision graphs, Advanced Studies and Contemporary Mathematics

 

4) Recently Submitted Papers                                     

 

176)   Hosamani, S. M., Lokesha, V., Cangul, I. N., Devendraiah, K. M., Farahani, M. R., On the Sanskruti index of certain line graph of subdivision graphs,

177)   Esen, U., Cevik, A. S., Cangul, I. N., Isomorphic knot semigroups via symmetric Pretzel links,

178)   Esen, U., Cevik, A. S., Cangul, I. N., Some coloring results on special semigroups obtained from particular knots,

179)   Buyukkose, S., Kabatas, U., Nurkahli, S. B., Cangul, I. N., Bounds for the Laplacian Spectral Radius of Matrix Weighted Graphs

180)   Buyukkose, S., Nurkahli, S. B., Kabatas, U., Cangul, I. N., The Bounds on a Graph Invariant for the Laplacian and Signless Laplacian Matrices of Matrix Weighted Graphs

181)   Delen, S., Cangul, I. N., Applications of a New Invariant for Graphs,

182)   Delen, S., Cangul, I. N., Extremal Problems on Components and Loops in Graphs

183)   Mishra, V. N., Delen, S., Cangul, I. N., New Results on Edge and Vertex Deletion in Graphs

184)   Rajan, M. A., Das, Kinkar Ch., Lokesha, V., Cangul, I. N., On some properties of coprime labelled graphs,

185)   Prakasha, K. N., Reddy, P. S. K., Cangul, I. N., Atom Bond-Connectivity Energy of a Graph,

186)   Gok, G. K., Buyukkose, S., Cangul, I. N., Randic Index of Graph Operations

187)   Oz, M. S., Yamac, C., Cangul, I. N.,, Sum-edge characteristic polynomials of graphs

188)   Oz, M. S., Cangul, I. N.,, A new method for the sum-edge characteristic polynomials of graphs

189)   Oz, M. S., Yamac, C., Cangul, I. N., Laplacian Characteristic Polynomials of Graphs

190)   Gutman, I., Ascioglu, M., Cangul, I. N., Multiplicative Geometric-Arithmetic Index,

191)   Reddy, P. S. K., Prakasha, K. N., Cangul, I. N., Sum-connectivity energy of graphs,

192)   Chaluvaraju, B., Boregowda, H. S., Cangul, I. N., Some Inequalities for the First General Zagreb Index

193)   Sarkar, P., De, N., Pal, A., Cangul, I. N., The generalized Zagreb index of some carbon structures

194)   Sarkar, P., De, N., Pal, A., Cangul, I. N., The (a,b)-Zagreb index of some derived networks

195)   Mondal, S., De, N., Pal, A., Cangul, I. N., The Narumi-Katayama index of subdivision-vertex and edge join of graphs

196)   Mondal, S., De, N., Pal, A., Cangul, I. N., The neighbourhood Zagreb index of some graph operations

 

 

5) In Preparation

 

197)   Reddy, P. S. K., Prakasha, K. N., Cangul, I. N., Inverse sum indeg Energy of a graph,

198)   Reddy, P. S. K., Prakasha, K. N., Cangul, I. N., Atom Bond-Connectivity Index of Certain Graphs,

199)   Reddy, P. S. K., Prakasha, K. N., Cangul, I. N., Randic Type Hadi Index of Graphs

200)   Reddy, P. S. K., Prakasha, K. N., Cangul, I. N., Randic Type Hadi Energy of Graphs

201)   Veena, M., Padmapriya, P., Cangul, I. N., Some topological indices of certain classes of cycloalkanes

202)   Nandini, G., Venkatachalam, M., Deepa, T., Cangul, I. N., On r-dynamic colorings of the friendship graph families

203)   Togan, M., Yurttas, A., Cangul, I. N., Cut Vertex and Cut Edge Problem For the Topological Indices of Graphs

204)   Yurttas, A., Togan, M., Lokesha, V., Cangul, I. N., Inverse problem for the second ZI, Forgotten index and Hyper ZI,

205)   Yurttas, A., Togan, M., Cangul, I. N., Inverse problem for Irregularity Index,

206)   Togan, M., Yurttas, A., Cangul, I. N., The effect of a new graph characteristic on some graph indices

207)   Rao, S., Cangul, I. N., Hosoya Polynomial and Wiener Index of Concatenated Octachains

208)   Rao, S., Cangul, I. N., Graph Energy of n-Coronene

209)   Ana, U., Cangul, I. N., Wiener index of subdivision graphs

210)   Ana, U., Cangul, I. N., Incidency polynomials of the oriented graphs

211)   Lokesha, V., Manjunath, M., Deepika, T., Cangul, I. N., Cevik, A. S., Operations of Triglyceride via Adriatic Indices

 

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