Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

A characterization of shellable and sequentially Cohen-Macaulay

Document Type : Research Paper

Authors
Amirkabir University of Technology
Abstract
We consider a class of hypergraphs called
hypercycles and we show that a hypercycle $C_n^{d,alpha}$ is
shellable or sequentially the Cohen--Macaulay if and only if
$nin{3,5}$. Also, we characterize Cohen--Macaulay hypercycles.
These results are hypergraph versions of results proved for cycles
in graphs.
Keywords

Volume 37, No. 3
September 2011
Pages 1-9

  • Receive Date 25 August 2009
  • Revise Date 09 March 2012
  • Accept Date 06 October 2009