D. Kiani

[ 1 ] - A characterization of shellable and sequentially Cohen-Macaulay

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.

[ 2 ] - Sequentially Cohen-Macaulay Graphs of Form θ_{n1, ...nk}

[ 3 ] - Bounds for the Regularity of Edge Ideal of Vertex Decomposable and Shellable Graphs