Note on Ideal Based Zero-Divisor Graph of a Commutative Ring
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 2
Abstract
In this paper, we consider the ideal based zero divisor graph I (R) of a commutative ring R. We discuss some graph theoretical properties of I (R) in relation with zero divisor graph. We also relate certain parameters like vertex chromatic number, maximum degree and minimum degree for the graph I (R) with that of (R I ). Further we determine a necessary and sufficient condition for the graph to be Eulerian and regular.
Authors and Affiliations
A. Mallika, R. Kala, K. Selvakumar
Keywords
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