English

Vertex decomposability, shellability and Cohen-Macaulayness of graphs upon graph operations

Commutative Algebra 2025-06-10 v1

Abstract

Throughout this work, the vertex decomposability and shellability of graphs formed from other graphs by various operations are investigated. Also among the other things, by using some graph operations, new classes of Cohen-Macaulay graphs from previous ones are presented.

Keywords

Cite

@article{arxiv.2306.07354,
  title  = {Vertex decomposability, shellability and Cohen-Macaulayness of graphs upon graph operations},
  author = {Fahimeh Khosh-Ahang Ghasr},
  journal= {arXiv preprint arXiv:2306.07354},
  year   = {2025}
}
R2 v1 2026-06-28T11:03:18.966Z