Vol. 7 No. 1 (2023): Vol 7, Iss 1, Year 2023
Articles

On zero divisors graphs of direct product of finite fields

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  • Subhash Mallinath Gaded,
  • Nithya Sai Narayana
Subhash Mallinath Gaded
Department of Mathematics, University of Mumbai, Mumbai, Maharashtra, India
Nithya Sai Narayana
Department of Mathematics, University of Mumbai, Mumbai, Maharashtra, India
DOI: https://doi.org/10.26524/cm165
Published June 30, 2023
Keywords
  • zero divisor graphs, finite fields, diameter, planarity, domination number.
How to Cite
Subhash Mallinath Gaded, & Nithya Sai Narayana. (2023). On zero divisors graphs of direct product of finite fields. Journal of Computational Mathematica, 7(1), 100-109. https://doi.org/10.26524/cm165

Abstract

Zero divisor graphs are a fascinating area of current research. In this article, we look at some basic properties of zero divisor graphs of direct products of finite fields. We determine the girth, diameter, planarity, total domination number, connected domination number of the zero divisor graph as well as the complement graph of zero divisor graphs of direct products of finite fields.

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