Total and Cototal Domination Number of Some Zero Divisor Graph
S. Shipiya Raj Shree1, V. Maheswari2, R. Rajeswari3
1S. Shipiya Raj Shree, M. Phil Scholar, PG and Research, Department of Mathematics, A.P.C Mahalaxmi College for Women, Thoothukudi (Tamil Nadu), India.
2V. Maheswari, PG and Research, Department of Mathematics, A.P.C Mahalaxmi College for Women, Thoothukudi (Tamil Nadu), India.
3R. Rajeswari, PG and Research, Department of Mathematics, A.P.C Mahalaxmi College for Women, Thoothukudi (Tamil Nadu), India.
Manuscript received on 28 November 2019 | Revised Manuscript received on 04 December 2019 | Manuscript Published on 10 December 2019 | PP: 950-952 | Volume-8 Issue-3S2 October 2019 | Retrieval Number: C12621083S219/2019©BEIESP | DOI: 10.35940/ijrte.C1262.1083S219
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Abstract: The concept of zero divisor graphs of a commutative ring leads to various research topics since it relates both Ring theory and Graph theory. Domination in graphs has its own development in each field it enters. In this paper, We have given few results on Total and cototal domination number of some zero divisor graph on direct product of commutative rings.
Keywords: Zero Divisor Graphs, Ring Theory And Graph Theory.
Scope of the Article: Cryptography and Applied Mathematics