English

Shellable and Cohen-Macaulay complete t-partite graphs

Commutative Algebra 2012-05-29 v2 Combinatorics

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.

Keywords

Cite

@article{arxiv.1204.2112,
  title  = {Shellable and Cohen-Macaulay complete t-partite graphs},
  author = {Seyyede Masoome Seyyedi and Farhad Rahmati and Mahdis Saeedi},
  journal= {arXiv preprint arXiv:1204.2112},
  year   = {2012}
}

Comments

6 pages

R2 v1 2026-06-21T20:47:15.496Z