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COMPUTING THE TOTAL VERTEX IRREGULARITY STRENGTH ASSOCIATED WITH ZERO DIVISOR GRAPH OF COMMUTATIVE RING
Journal article   Open access  Peer reviewed

COMPUTING THE TOTAL VERTEX IRREGULARITY STRENGTH ASSOCIATED WITH ZERO DIVISOR GRAPH OF COMMUTATIVE RING

Ali Ahmad and Jazan University, College of Computer Science & Information Technology
KRAGUJEVAC JOURNAL OF MATHEMATICS, Vol.46(5), pp.711-719
01/01/2022

Abstract

Mathematics Physical Sciences Science & Technology
Let R be a commutative ring and Z(R) be the set of all zero divisors of R. Gamma(R) is said to be a zero divisor graph if x, y E V (Gamma(R)) = Z(R) and (x, y) E E(Gamma(R)) if and only if x.y = 0. In this paper, we determine the total vertex irregularity strength of zero divisor graphs associated with the commutative rings Zp2 X Zq for p, q prime numbers.
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https://doi.org/10.46793/KgJMat2205.711AView
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