On realizing zero-divisor graphs of po-semirings

Published 2 Jun 2011 in math.RA, math.AC, and math.CO | (1106.0350v1)

Abstract: In this paper, we determine bipartite graphs and complete graphs with horns, which are realizable as zero-divisor graphs of po-semirings. As applications, we classify commutative rings $R$ whose annihilating-ideal graph $\mathbb {AG}(R)$ are either bipartite graphs or complete graphs with horns.

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