Median and Center of Zero-Divisor Graph of Commutative Semigroups

Author(s):

H. R. Maimani

Message:
Abstract:
For a commutative semigroup S with 0, the zero-divisor graph of S denoted by Γ(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 Γ(S) is three.
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:3 Issue: 2, Nov 2008
Page:
69
https://www.magiran.com/p646885