INDEPENDENT SETS OF SOME GRAPHS ASSOCIATED TO COMMUTATIVE RINGS

Author(s):

Saeid Alikhani * , Saeed Mirvakili

Abstract:
Let G=(V,E) be a simple graph. A set S⊆V is independent set of G, if no two vertices of S are adjacent. The independence number α(G) is the size of a maximum independent set in the graph. In this paper we study and characterize the independent sets of the zero-divisor graph Γ(R) and ideal-based zero-divisor graph ΓI(R) of a commutative ring R .
Keywords:

Independent set , Independence number , Zero-divisor graph , Ideal

Language:
English
Published:
Journal of Algebraic Structures and Their Applications, Volume:1 Issue: 2, Summer - Autumn 2014
Pages:
85 to 103
https://www.magiran.com/p1686523  
سامانه نویسندگان
  • Alikhani، Saeid
    Corresponding Author (1)
    Alikhani, Saeid
    Professor Department of Mathematics, Yazd University, University of Yazd, یزد, Iran
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