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Zero-divisor Semigroups of Star Graphs and Two-star Graphs

机译:星图和二星图的零除数半群

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摘要

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 sernigroup is zero. In this paper, we give formulas to calculate the in imbers of non-isomorphic zero-divisor semigroups corresponding to star graphs K-1,K-n, two- star graphs T-m,T-n and windmill graphs respectively.
机译:具有零的交换半群的零除图是这样一个图,其顶点是半群的非零零除数,如果在Sernigroup中乘积为零,则两个不同的顶点由边连接。在本文中,我们给出公式来计算分别对应于星形图K-1,K-n,双星形图T-m,T-n和风车图的非同构零除数半群的imber。

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