A New Graph Structure ofCommutative Semigroups |
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| Authors: | Miao Zuo Tongsuo Wu |
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| Affiliation: | (1) Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China |
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| Abstract: | In this paper, a newzero-divisor graph $overline{G}(S)$ is defined and studied for acommutative semigroup $S$ with zero element. The properties andthe structure of the graph are studied; for any complete graph andcomplete bipartite graph $G$, commutative semigroups $S$ areconstructed such that the graph $G$ is isomorphic to$overline{G}(S)$. |
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