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pro vyhledávání: '"Randrianarisoa, Tovohery H."'
We introduce the notion of power lattices that unifies and extends the equicardinal geometric lattices, Cartesian products of subspace lattices, and multiset subset lattices, among several others. The notions of shellability for simplicial complexes,
Externí odkaz:
http://arxiv.org/abs/2407.08629
Autor:
Ghorpade, Sudhir R., Pratihar, Rakhi, Randrianarisoa, Tovohery H., Verdure, Hugues, Wilson, Glen
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
Externí odkaz:
http://arxiv.org/abs/2403.07102
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 e
Externí odkaz:
http://arxiv.org/abs/2102.13102
Akademický článek
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