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Quasi f-Simplicial Complexes and Quasi f-Graphs

2020/09/10 by Hasan Mahmood, Mahmood, Hasan, Fazal Ur Rehman +6
Computer Science · Mathematics · #05E45 #13C14 #13F20 #13F55 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis #math.CO #msc:05E45 #msc:13C14 #msc:13F20 #msc:13F55

paper · pdf · doi:10.48550/arxiv.2009.04773

openalex publication_date 2020/09/10 · arxiv created 2020/09/14 · arxiv updated 2020/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The notion of f-ideal is recent and has so far been studied in several papers. In \citeqfi, 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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