Shellable and Cohen-Macaulay complete t-partite graphs
  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. 
Seyyede Masoome Seyyedi, Farhad Rahmati, Mahdis Saeedi
math.AC math.CO