Semigroup Forum

, Volume 65, Issue 2, pp 206–214

The zero-divisor graph of a commutative semigroup

Research Article

DOI: 10.1007/s002330010128

Cite this article as:
DeMeyer, F.R., McKenzie, T. & Schneider, K. Semigroup Forum (2002) 65: 206. doi:10.1007/s002330010128


An undirected graph Γ(S) is associated to each commutative multiplicative semigroup S with 0. The vertices of the graph are labeled by the nonzero zero-divisors of S , and two vertices x,y are connected by an edge in case xy = 0 in S . The properties and possible structures of the graph Γ (S) are studied.

Copyright information

© Springer-Verlag 2002

Authors and Affiliations

  1. 1.Department of MathematicsColorado State UniversityFort Collins
  2. 2.Department of MathematicsBradley UniversityPeoria
  3. 3.Department of MathematicsMesa State UniversityGrand Junction