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

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Median and Center of Zero-Divisor Graph of Commutative Semigroups. IJMSI 2008; 3 (2) :69-76
URL: http://ijmsi.ir/article-1-52-en.html

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.

Type of Study: Research paper | Subject: General

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