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arXiv · 1204.2112

Shellable and Cohen-Macaulay complete t-partite graphs

Seyyede Masoome Seyyedi·Farhad Rahmati·Mahdis Saeedi
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Abstract

Let G be a simple undirected graph. We find the number of maximal independent sets in complete t-partite graphs. We will show that vertex decomposability and shellability are equivalent in this graphs. Also, we obtain an equivalent condition for Cohen-Macaulay in complete t-partite graphs.

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Seyyede Masoome Seyyedi, Farhad Rahmati, Mahdis Saeedi. 2012-05-26. Shellable and Cohen-Macaulay complete t-partite graphs. https://arxiv.org/abs/1204.2112

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