Shellability and homology of q-complexes and q-matroids

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https://hdl.handle.net/10037/28722
DOI
https://doi.org/10.1007/s10801-022-01150-1
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Date
2022-07-09
Type
Journal article
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Peer reviewed

Author
Ghorpade, Sudhir R.; Pratihar, Rakhi; Randrianarisoa, Tovohery H.
Abstract
We consider a q-analogue of abstract simplicial complexes, called q-complexes, and discuss the notion of shellability for such complexes. It is shown that q-complexes formed by independent subspaces of a q-matroid are shellable. Further, we explicitly determine the homology of q-complexes corresponding to uniform q-matroids. We also outline some partial results concerning the determination of homology of arbitrary shellable q-complexes. 1 Introduction
Publisher
Springer
Citation
Ghorpade, Pratihar, Randrianarisoa. Shellability and homology of q-complexes and q-matroids. Journal of Algebraic Combinatorics. 2022
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Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)