English

Quasi f-Simplicial Complexes and Quasi f-Graphs

Combinatorics 2020-09-15 v2

Abstract

The notion of ff-ideal is recent and has so far been studied in several papers. In \cite{qfi}, the idea of ff-ideal is generalized to quasi ff-ideals, which is much larger class than the class of ff-ideals. In this paper, we introduce the concept of quasi ff-simplicial complex and quasi ff-graph. We give a characterization of quasi ff-graphs on nn vertices. A complete solution of connectedness of quasi ff-simplicial complexes is described. We have also shown a method of constructing Cohen-Macaulay quasi ff-graphs.

Keywords

Cite

@article{arxiv.2009.04773,
  title  = {Quasi f-Simplicial Complexes and Quasi f-Graphs},
  author = {Hasan Mahmood and Fazal Ur Rehman and Thai Thanh Nguyen and Muhammad Ahsan Binyamin},
  journal= {arXiv preprint arXiv:2009.04773},
  year   = {2020}
}