The zero-divisor graph of a commutative semigroup
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- DeMeyer, F.R., McKenzie, T. & Schneider, K. Semigroup Forum (2002) 65: 206. doi:10.1007/s002330010128
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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.