Extendable shellability for $d$-dimensional complexes on $d+3$ vertices

Autor:	Culbertson, Jared, Dochtermann, Anton, Guralnik, Dan P., Stiller, Peter F.
Rok vydání:	2019
Předmět:	Mathematics - Combinatorics Mathematics - Commutative Algebra Mathematics - Geometric Topology 05E45 52B22 13D02 13F55
Zdroj:	Electron. J. Combin. 27 Issue 3 (2020), P3.46
Druh dokumentu:	Working Paper
Popis:	We prove that for all $d \geq 1$ a shellable $d$-dimensional simplicial complex with at most $d+3$ vertices is extendably shellable. The proof involves considering the structure of `exposed' edges in chordal graphs as well as a connection to linear quotients of quadratic monomial ideals. Comment: 6 pages; V2: corrections and minor revisions, incorporating comments from referees
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.07155 Zobrazit plný text záznamu View this record from Arxiv