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arXiv · 2009.04773

Quasi f-Simplicial Complexes and Quasi f-Graphs

Hasan Mahmood·Fazal Ur Rehman·Thai Thanh Nguyen·Muhammad Ahsan Binyamin
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Abstract

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

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Hasan Mahmood, Fazal Ur Rehman, Thai Thanh Nguyen, Muhammad Ahsan Binyamin. 2020-09-14. Quasi f-Simplicial Complexes and Quasi f-Graphs. https://arxiv.org/abs/2009.04773

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