2024/03/11 by Sudhir R. Ghorpade, Rakhi Pratihar, Ghorpade, Sudhir R. +7
Computer Science · Mathematics · #05A30 #05B35 #52B22 #55N99 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2403.07102
openalex publication_date 2024/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The theory of shellable simplicial complexes brings together combinatorics, algebra, and topology in a remarkable way. Initially introduced by Alder for q-simplicial complexes, recent work of Ghorpade, Pratihar, and Randrianarisoa extends the study of shellability to q-matroid complexes and determines singular homology groups for a subclass of these q-simplicial complexes. In this paper, we determine the homotopy type of shellable q-simplicial complexes. Moreover, we establish the shellability of order complexes from lexicographically shellable q-simplicial complexes, that include the q-matroid complexes. This results in a comprehensive determination of the homology groups for any lexicographically shellable q-complexes.