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

Autor:	Jared Culbertson, Anton Dochtermann, Dan P. Guralnik, Peter F. Stiller
Rok vydání:	2019
Předmět:	Monomial Mathematics::Combinatorics Mathematics::Commutative Algebra Applied Mathematics Structure (category theory) Geometric Topology (math.GT) Mathematics - Commutative Algebra Commutative Algebra (math.AC) Theoretical Computer Science 05E45 52B22 13D02 13F55 Combinatorics Mathematics - Geometric Topology Simplicial complex Quadratic equation Computational Theory and Mathematics Chordal graph FOS: Mathematics Mathematics - Combinatorics Discrete Mathematics and Combinatorics Geometry and Topology Combinatorics (math.CO) Connection (algebraic framework) Quotient Mathematics
DOI:	10.48550/arxiv.1908.07155
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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca388325872f2109bcf97b648639ec69 Zobrazit plný text záznamu