Commutative Zero-divisor Semigroups of Graphs with at Most Four Vertices

Commutative Zero-divisor Semigroups of Graphs with at Most Four Vertices
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最多四个顶点的图的可交换零除数半群

DOI:
10.1142/s1005386709000339
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发表时间:
2009-06
期刊:
影响因子:
0.3
通讯作者:
Su, Huadong
Su, Huadong
中科院分区:
数学4区
文献类型:
--
作者:
Tang, Gaohua;Ren, Beishang;Su, Huadong

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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. In this paper, we study commutative zero-divisor semigroups determined by graphs. We determine all corresponding zero-divisor semigroups of all simple graphs with at most four vertices.
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