Shellable and Cohen-Macaulay complete t-partite graphs
arXiv:1204.2112
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.
6 pages