Autor:	Celoria, Daniele, Yerolemou, Naya
Rok vydání:	2020
Předmět:	Mathematics - Combinatorics Mathematics - Algebraic Topology 05E45 (Primary) 05C10 (Secondary)
Druh dokumentu:	Working Paper
Popis:	To any finite simplicial complex X, we associate a natural filtration starting from Chari and Joswig's discrete Morse complex and abutting to the matching complex of X. This construction leads to the definition of several homology theories, which we compute in a number of examples. We also completely determine the graded object associated to this filtration in terms of the homology of simpler complexes. This last result provides some connections to the number of vertex-disjoint cycles of a graph. Comment: 15 pages, 8 figures, comments welcome. V2 accepted by the Australasian Journal of Combinatorics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.02015 Zobrazit plný text záznamu View this record from Arxiv