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- Frank DeMeyer, Lisa DeMeyer, Kent R. Fuller
- 2004

The zero divisor graph of a commutative semigroup with zero is a graph whose vertices are the nonzero zero divisors of the semigroup, with two distinct vertices joined by an edge in case their product in the semigroup is zero. We continue the study of this construction and its extension to a simplicial complex. This article continues the study of the zero… (More)

Given a commutative semigroup S with 0, where 0 is the unique singleton ideal, we associate a simple graph Γ(S), whose vertices are labeled with the nonzero elements in S. Two vertices in Γ(S) are adjacent if and only if the corresponding elements multiply to 0. The inverse problem, i.e., given an arbitrary simple graph, whether or not it can be associated… (More)

- LISA DEMEYER, MICHEL D’SA, INESSA EPSTEIN, AMANDA GEISER, KEN SMITH
- 2008

Let S be a commutative semigroup with zero. The zero divisor graph associated to S, denoted Γ(S) is the graph whose vertices are the nonzero zero divisors of S and two vertices are adjacent in case their product in the semigroup is zero. There are many known results on the possible shape of such graphs. We study the converse problem. Namely, given a graph G… (More)

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