Extendable shellability for $d$-dimensional complexes on $d+3$ vertices
Combinatorics
2021-02-25 v2 Commutative Algebra
Geometric Topology
Abstract
We prove that for all a shellable -dimensional simplicial complex with at most 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.
Keywords
Cite
@article{arxiv.1908.07155,
title = {Extendable shellability for $d$-dimensional complexes on $d+3$ vertices},
author = {Jared Culbertson and Anton Dochtermann and Dan P. Guralnik and Peter F. Stiller},
journal= {arXiv preprint arXiv:1908.07155},
year = {2021}
}
Comments
6 pages; V2: corrections and minor revisions, incorporating comments from referees