PUBLICATIONS

National                         :  2

International                      :  56

    Papers in SCI Journals       :  17

              Citation (SCOPUS)

                              Total Number of Citations     : 172 (as on 31/08/2023)                 

H-index : 08

                              Papers Reviewed in American Mathematical Society- Mathematical Review:  40

 Publications in Science Citation  Index Journals

• K. Selvakumar, J. Beautlin Jemi, A topological property of a hypergraph assigned to commutative rings, J. Algebra App., (2023), accepted.

• E. Jesili, K. Selvakumar, and Tamizh Chelvam, T., Genus and book thickness of reduced cozero-divisor graphs of commutative rings, (2023), Rev. Un. Mat. Argentina,   https://doi.org/10.33044/revuma.3906 (accepted).

• E. Jesili, K. Selvakumar, T. Tamizh Chelvam, On the genus of reduced co-zero-divisor graph of commutative rings, Soft Computing, (2022), https://doi.org/10.1007/s00500-022-07616-5. (IF: 3.732)

• K. Selvakumar, V. Ramanathan, C. Selvaraj,  On the genus of dot product graph of a commutative ring, Indian J. Pure  App. Math., (Accepted, 08.06.2022)

• K. Selvakumar, Nadeem 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. (IF: 0.867) (MR4410866)

• K. Selvakumar, G. Arunkumar, P. Gangaeswari, The wiener index of the zero-divisor graph of a finite commutative ring,  Discrete Applied Mathematics,  311 (2022), 72--84 (IF: 1.139) (MR4377155)

• K. Selvakumar, VC Amritha, Ideal based hypergraph of commutative rings,  AKCE Inter. J. of Graphs and Combi., 19 (1) (2022), 18--23. (IF: 0.867) (MR4410859)

• K. Selvakumar, and M. Subajini, The ideal-based k zero-divisor hypergraph of commutative rings, Algebra Colloquium, 28 (4) (2021), 655--672. (IF: 0.429) (MR4336031)

• K. Selvakumar, V Ramanathan, A Haouaoui, On the k-zero divisor hypergraph of commutative rings, ARS Combinatoria, 150 (2020), 261-279 (IF: 0.263) (MR4250182)

• 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: 0.372) (MR3954537)

• Selvakumar, K., and Subbulakshmi, P., On the genus of Cayley graph of ideals of commutative ring, ARS Combinatoria,  CXLVII (2019), 215--236. (IF: 0.263) (MR4221175)

• K. Selvakumar,  A note on the annihilating ideal graph of commutative rings, ARS Combinatoria, CXXXVII (2018), 113--122 (IF: 0.263) (MR3790965)

• K. Selvakumar,  M. Subajini, M. J. Nikmehr, Finite commutative ring with genus two essential graph, J. Algebra App., 16 (2) (2018), 1850121 (11 pages). (IF: 0.736) (MR3813695)

• 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: 0.736) (MR3813699)

• Selvakumar, K., and Subajini, M., Commutative rings with genus two annihilator graphs, Comm. Algebra, 46 (1) (2018), 28--37. (IF: 0.762) (MR3764840)

• Selvakumar, K., and Subajini, M., Classification of rings with toroidal Jacobson graph, Czechosolvak Mathematical Journal, 66 (2) (2016), 30--316. (IF: 0.338) (MR3519603)

•  Selvakumar, K., and Ramanathan, V., Classification of nonlocal rings with genus one 3-zero-divisor hypergraphs, Comm. Algebra,  45 (1) (2017), 275--284. (IF: 0.762) (MR3556571)

 Publications in Non-Science Citation  Index  Journals

• 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).

• Mohd Nasim, Nedeem Ur Rehman, Selvakumar, K.,  On the genus of annihilator intersection graph of commutative rings, Algebraic Structures   App., accepted (2023).

•  3. 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), https://doi.org/10.1007/s12215-022-00843-7

• 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.

• Selvakumar, K, Anusha, N., On the ideal-based  zero-divisor graph of commutative rings, To appear in  Discrete Mathematics, Algorithms and Applications, 16 (1), 2250190 (2024).  

• Selvakumar, K, Beautlin Jemi, J., Spectrum of the 3-zero-divisor hypergraph of some class of local rings, In: Ashraf, M., Ali, A., De Filippis, V. (eds) Algebra and Related Topics with Applications. ICARTA 2019. Springer Proceedings in Mathematics & Statistics, vol 392. Springer, Singapore. https://doi.org/10.1007/978-981-19-3898-6_35 

• Karthik, S.,  Meera, S. N., and Selvakumar, K., Crosscap two of class of graphs from commutative rings, To appear in  Discrete Mathematics, Algorithms and Applications, July 2021.

• 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..  (MR4227474)

• Selvakumar, K., Subajini, M., et al, Domination in Generalized Cayley graph of commutative rings, J. Math. Study, 54 (4) (2021), 427-434.(MR4282864)

• K. Selvakumar, J. Beautlin Jemi,  The Wiener index of the 3-zero-divisor hypergraph,  AIP Conference Proceedings, 2261 (1) (2020) , 030010. (IF:0.40)(MR4227474)

• 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) 

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

• Selvakumar, K., and 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. (MR4022279)

• 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. (MR3910245)

• Selvakumar, K., Ramanathan, V., The k-annihilating hypergraph of commutative ring, AKCE Inter. J. of Graphs and Combin., 16 (3) (2019),241--252. (MR4041684)

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

• 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)

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

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

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

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

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

• Selvakumar, K., and Ramanathan, V., Classification of nonlocal rings with projective 3-zero-divisor hypergraph, Ricerche di Mat.,  

66 (2) (2017), 457--468.

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

• 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)

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

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

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

• Tamizh Chelvam, T., Asir, T., and 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)

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

• Tamizh Chelvam, T., and 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.

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

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

• Tamizh Chelvam, T., and 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)

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

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

• Tamizh Chelvam, T., and 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)

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

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

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

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

 BOOKS PUBLISHED

• T. Tamizh Chelvam, R. Kala and K. Selvakumar, Proceedings of the National Conference on Algebra and Graph Theory,                          Manonmaniam Sundaranar University Publication Division, 2010.

• J. Paulraj Joseph, P. Thathabai Nowroji, R. Kala and K. Selvakumar, Recent Advancement in Mathematics, Manonmaniam                     Sundaranar University Publication Division, 2010.

• T. Tamizh Chelvam, K. Selvakumar, and S. Monikandan, Graphs from Algebraic Structures,  Manonmaniam Sundaranar University University Publication, 2018.