Shellable and Cohen-Macaulay complete t-partite graphs

Details Shellable and Cohen-Macaulay complete t-partite graphs Shellable and Cohen-Macaulay complete t-partite graphs

2012-04-10

arxiv.org/abs/1204.2112v1

Mathematics

Commutative Algebra

7 pages

Scientific paper

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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