RESEARCH PUBLICATIONS

 

 

PUBLICATION IN SCI JOURNALS

 

1. Selvakumar, K., Beautlin Jemi, J., A topological property of a hypergraph assigned to commutative rings, J. Algebra App., 24 (3) (2025) 2550093. https://doi.org/10.1142/S0219498825500938.

 

2. Jesili, E., Selvakumar, K., and Tamizh Chelvam, T., Genus, and book thickness of reduced cozero-divisor graphs of commutative rings, Rev. Un. Mat. Argentina, 67 (2) (2024), 455-473,  https://doi.org/10.33044/revuma.3906.

 

3. Jesili, E., Selvakumar, K., and Tamizh Chelvam, T., On the genus of reduced cozero-divisor graph of commutative rings, Soft Computing, 27 (2) (2023), 657-666.  (IF: 3.732)

 

4. Selvakumar, K., Ramanathan, V., Selvaraj, C., On the genus of dot product graph of a commutative ring, Indian J. Pure and App. Math., 54 (2) (2023), 558-567. (IF: 0.337)

 

5. Selvakumar, K., Mohd Nasim, Nedeem Ur Rehman, On the planarity, genus and crosscap of new extension of zero-divisor graph of commutative rings,  AKCE Inter. J. of Graphs and Combin., 19 (1) (2022), 61—68.

 

6. Selvakumar, K., Arunkumar, G., Gangaeswari, P., The wiener index of the zero-divisor graph of a finite commutative ring, Discrete Applied Mathematics, 311 (2022), 72--84 (IF: 1.139)

 

7. Selvakumar, K., Amritha, V. C., Ideal based hypergraph of a commutative ring, AKCE Inter. J. of Graphs and Combin., 19 (1) (2022), 18 -- 23.

 

8. Selvakumar, K., and Subajini, M., The ideal-based k zero-divisor hypergraph of commutative rings, Algebra Colloquium, 28 (4) (2021), 655--672. (IF: 0.484)

 

9. Selvakumar, K., Ramanathan, V., A Haouaoui, On the k-zero divisor hypergraph of commutative rings, ARS Combinatoria, 150 (2020), 261-279 (IF: 0.210) (MR4250182)

 

10. Selvakumar, K., and Ramanathan, V., On the genus of the k-annihilating ideal hypergraph of commutative ring,  Indian J. Pure and Applied Mathematics, 50 (2) (2019), 461—475. (IF: 0.337) (MR3954537)

 

11. Selvakumar, K., and Subbulakshmi, P., On the genus of Cayley graph of ideals of commutative ring, ARS Combinatoria, CXLVII (2019), 215--236. (IF: 0.186) (MR4221175)

 

12. Selvakumar, K., A note on the annihilating ideal graph of commutative rings, ARS Combinatoria, CXXXVII (2018), 113--122. (IF: 0.186)  (MR3790965)

 

13. Selvakumar, K.,  M. Subajini, M. J. Nikmehr, Finite commutative ring with genus two essential graph, J. Algebra App., 16 (2) (2018), 1850121 (11 pages). (IF: 0.6) (MR3813695)  

 

14. Tamizh Chelvam, T., Selvakumar, K., and Ramanathan, V., On the Cayley sum graph of ideals of commutative ring, J. Algebra App., 16 (2) (2018), 1850125 (14 pages). (IF: 0.6), (MR3813699)

 

15. Selvakumar, K., and Subajini, M., Commutative rings with genus two annihilator graphs, Comm. Algebra   , 46 (1) (2018), 28--37. (IF: 0.481) (MR3764840)

 

16. Selvakumar, K., and Subajini, M., Classification of rings with toroidal Jacobson graph, Czechosolvak Mathematical Journal, 66 (2) (2016), 30--316. (IF: 0.364) (MR3519603)

 

17. Selvakumar, K., and Ramanathan, V., Classification of nonlocal rings with genus one 3-zero-divisor hypergraphs, Comm. Algebra, 45 (1) (2016), 275--284. (IF: 0.429) (MR3556571)

 

 

PUBLICATION IN NON-SCI JOURNALS

 

18. Selvakumar, K., Petchiammal, N., On metric dimension of nil-graphs of ideals of commutative rings, Discrete Math. Algor. Appl., 16 (6) (2024), 2350078.

 

19.Selvakumar, K., , P Gangaeswari, Some application of multiplicative Zagreb index, J. Analysis, 32 (2024), 3091—3099.

 

20.Selvakumar, K., and J. Beautlin Jemi, Domination in k-zero-divisor hypergraph of some class of commutative rings, Palestine Journal of Mathematics, 12 (Special Issue II) (2023), 26–33

 

21. Mohd Nasim, Nedeem Ur Rehman, Selvakumar, K., On the Genus of Strong Annihilating-ideal Graph of Commutative Rings, Asian-European Journal of Mathematics, (2023) 2350166 (16 pages).

 

22. Mohd Nasim, Nedeem Ur Rehman, Selvakumar, K., On the genus of annihilator intersection graph of commutative rings, Algebraic Structures App.,., 11 (1) (2024), 25—36.

 

23. Mohd Nasim, Nedeem Ur Rehman, Selvakumar, K., On the genus of extended zero-divisor graph of commutative rings, Rendiconti del Circolo Matematico di Palermo Series 2, (2022).

 

24.Selvakumar, K., Anusha, N., On the ideal-base zero divisor graph of commutative rings, Discrete Mathematics, Algorithms and Applications, 16 (1), 2250190 (2024). 

 

1. 25.Selvakumar, K., Beautlin Jemi, J., Domination in k-zero-divisor hypergraph of some class of commutative rings, Palestine J.  Math., 12 (special issue II) (2023), 26 --33.

 

1. 26. .Selvakumar, K., Beautlin Jemi, J.,  and Nadeem ur Rehman, Spectrum of the 3-zero-divisor Hypergraph of Some Classes of Local Rings,  Algebra and Related Topics with Applications, Springer Proceedings in Mathematics & Statistics 392 (2022), https://doi.org/10.1007/978-981-19-3898-6_35.

 

1. 27. Karthik, S., Meera, S. N., and .Selvakumar, K., Crosscap two of class of graphs from commutative rings, Discrete Mathematics, Algorithms and Applications, 14 (08) (2022), 2250041.

 

1. 28. Belsi, G., Kavitha, S., Selvakumar, K., On the genus of the idempotent graph of finite commutative ring, Dis. Math. Gen. Algebra App., 41 (1) (2021), 23--31. (Scopus)

 

1. 29. Selvakumar, K., Subajini, M., et al, Domination in Generalized Cayley graph of commutative rings, J. Math. Study, 54 (2021), 427--434.

 

1. 30. Selvakumar, K., Beautlin Jemi, J., The Wiener index of the 3-zero-divisor hypergraph, AIP Conference Proceedings, 2261(2020), 030010. (IF:0.40) (Scopus)

 

1. 31. Shanmugavel, S., Pandirani, A., Selvakumar, K., A study on some new sequence spaces defined  by a sequence moduli, AIP Conference Proceedings, 2261 (2020), 030016.  (IF:0.40) (Scopus)

 

1. 32. Selvakumar, K., Amritha, V. C., The k-maximal hypergraph of commutative rings, Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry, 61 (2020), 747–757. (Scopus) (MR4160821)

 

1. 33. Selvakumar, K., Subajini, M., On the genus of a graph related to the join of subgroups of finite abelian group, Afrika Mathematica, 30 (7/8) (2019), 1223-1236. (Scopus) (MR4022279)

 

1. 34. Selvakumar, K., Amritha, V. C., On the genus of the k-maximal hypergraph of commutative rings, Discrete Mathematics, Algorithms and Applications, 11 (1) (2019), #1950010. (Scopus) (MR3910245)

 

1. 35. Selvakumar, K., Ramanathan, V., The k-annihilating hypergraph of commutative ring, AKCE Inter. J. of Graphs and Combim., 16 (2019), 241--252. (Scopus) (MR4041684)

 

1. 36. Selvakumar, K., Subajini, M., On the genus of the essential graph of commutative rings, The Aust. J. Combin., 74 (1) (2019), 74--85. (Scopus) (MR3939477)

 

1. 37. Selvakumar, K., Karthik, S., On the genus of the co-annihilating graph of commutative rings, Dis. Math. Gen. Algebra App., 32 (2) (2019), 1--16. (MR4020357) (Scopus)

 

1. 38. Selvakumar, K., Subbulakshmi, P., Classification of rings with toroidal annihilating-ideal graph, Comm. Combin. Optimization, 3 (2) (2018), 93--119. (MR3848758)

 

1. 39. Selvakumar, K., Subbulakshmi, P., On the crosscap of the annihilating-ideal graph of a commutative ring, Palestine J. Math., 7 (1) (2018), 151--160. (Scopus) (MR3723971)

 

1. 40. Tamizh Chelvam, T., Selvakumar, K., Subbulakshmi, P., On the nil-graph of ideals of commutative Artinian rings, Discrete Mathematics, Algorithms and Applications, 10 (5), 1850062 (2018). (Scopus) (MR3863125)

 

1. 41. Selvakumar, K., Arjun, T., On the planarity of the AGI(R), Int. J. Pure and Applied Mathematics, 117 (12) (2017), 359--366. (Scopus)

 

1. 42. Selvakumar, K., Subajini, M., Classification of groups with toroidal coprime graph, The Aust. J. Combin., 69 (2) (2017), 174--183. (Scopus)

                                                                                                

1. 43. Selvakumar, K., Ramanathan, V., Classification of nonlocal rings with projective 3-zero-divisor hypergraph, Ricerche di Mat., 66 (2) (2017), 457--468. (Scopus)

 

1. 44. Tamizh Chelvam, T., Selvakumar, K., Subbulakshmi, P., On the genus of nil-graph of ideals of commutative rings, Arab Journal of Mathematics, 23 (2) (2017), 186--195. (MR3662977) (Scopus)

 

1. 45. Selvakumar, K., Subbulakshmi, P., and Jafar Amjadi, On the genus of the graph associated to a commutative ring, Discrete Mathematics, Algorithms and Applications, 9 (5) (2017), 1750058 (11 pages). (MR3719737) (Scopus)

 

1. 46. Mallika, A., Kala, R., Selvakumar, K., A Note on Ideal Based Zero-Divisor Graph of a Commutative Ring, Dis. Math. General Algebra App., 37 (2017), 177--187. (Scopus) (MR3722512)

                                                                                        

1. 47. Mallika, A., Kala, R., Selvakumar, K., The Edge Chromatic Number of GI(R), Algebra and Discrete Mathematics, 24 (2) (2017), 250--261. (Scopus)

 

1. 48. Tamizh Chelvam, T., Selvakumar, K., On the genus of the annihilator graph of a commutative ring, Algebra and Discrete Math., 24 (2) (2017), 191--208. (Scopus)

 

1. 49. Tamizh Chelvam, T., Asir, T., Selvakumar, K., On domination in graphs from commutative rings: A survey, In: Rizvi S., Ali A., Filippis V. (Eds) Algebra and its Applications, Springer Proceedings in Mathematics and Statistics, Vol. 174 (2016), pp. 363--379, Springer, Singapore. (MR3613801)

                                                            

1. 50. Selvakumar, K., Subajini, M., Crosscap of the Non-cyclic graph of groups, AKCE Inter. J. of Graphs and Combin., 13 (2016), 235--240. (MR3616607) (Scopus)

 

1. 51. Tamizh Chelvam, T., Selvakumar, K., An Exposure on graphs from commutative rings: A Survey, Proceedings of the National Seminar on Algebra and Discrete Mathematics, St. Gregorios College, Kottarakara, (2016), 25--29.

 

1. 52. Tamizh Chelvam, T., Selvakumar, K., Ramanathan, V., On the planarity of the k-zero-divisor hypergraphs, AKCE Inter. J. of Graphs and Combin., 12 (2) (2015), 169--176. (MR3469910) (Scopus)

 

1. 53. Tamizh Chelvam, T., Selvakumar, K., On the connectivity of the annihilating-ideal graphs, Dis. Math General Algebra and App., 35 (2015), 195--204. (MR3434286) 

 

1. 54. Tamizh Chelvam, T., Selvakumar, K., On the intersection graph of gamma sets in the zero-divisor graph, Discrete Mathematics, Algorithms and Applications, 7 (1)(2015),  1450067 (14 pages). (MR3305477)

 

1. 55. Tamizh Chelvam, T., Selvakumar, K., Domination in the directed zero-divisor graph of ring of matrices, J. Combin. Math. Combin. Comput., 91 (2014), 155--163. (MR3287711)

 

1. 56. Tamizh Chelvam, T., Selvakumar, K., Central sets in the annihilating-ideal graph of commutative rings, J. Combin. Math. Combin. Comput., 88 (2014), 277--288. (MR3202355)

 

1. 57. Tamizh Chelvam, T., Selvakumar, K., Intersection Graph of gamma sets in the zero-divisor graph, Journal of Advanced Research in Pure Mathematics, 4 (4) (2012), 57--66. (MR2988679)

 

1. 58. Tamizh Chelvam, T., Selvakumar, K., Domination in zero-divisor graph of matrices, Journal of Advanced Research in Pure Mathematics, 3 (2) (2011), 31--39. (MR2800802)

 

1. 59. Selvakumar, K., Nithya, S., d2-coloring of a Graph, The Journal of Mathematics and Computer Science, 3 (2) (2011), 102--111.

 

1. 60. Tamizh Chelvam, T., Selvakumar, K., S. Raja, Commuting graphs on Dihedral group, The Journal of Mathematics and Computer Science, 2 (2011), 402--406.

 

1. 61. Selvakumar, K., A survey on zero-divisor graphs, Manonmaniam Sundaranar University Publication Division, (2010).