Volume 3, Issue 2 (November 2008)                   IJMSI 2008, 3(2): 69-76 | Back to browse issues page

‎ 10.7508/ijmsi.2008.02.007

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Median and Center of Zero-Divisor Graph of Commutative Semigroups
Abstract:  

For a commutative semigroup S with 0, the zero-divisor graph of S denoted by &Gamma(S) is the graph whose vertices are nonzero zero-divisor of S, and two vertices x, y are adjacent in case xy = 0 in S. In this paper we study median and center of this graph. Also we show that if Ass(S) has more than two elements, then the girth of &Gamma(S) is three.

Keywords: Commutative semigroup, Zero-divisor graph, Center of a graph, Median of a graph.
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Type of Study: Research paper | Subject: General
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