“School of Mathematics”
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| Paper IPM / M / 12192 |
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| Abstract: | |||||||
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In this paper, we deal with zero-divisor graphs of posets. We prove that
the diameter of such a graph is either 1, 2 or 3 while its girth is either
3, 4 or ∞. We also characterize zero-divisor graphs of posets in
terms of their diameter and girth.
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