Extendable shellability for d-dimensional complexes on d+3 vertices Academic Article

abstract

• We prove that for all $d geq 1$, a shellable $d$-dimensional 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.

authors

• Stiller, Peter

published proceedings

• ELECTRONIC JOURNAL OF COMBINATORICS

author list (cited authors)

• Culbertson, J., Dochtermann, A., Guralnik, D. P., & Stiller, P. F.

citation count

• 4

complete list of authors

• Culbertson, Jared||Dochtermann, Anton||Guralnik, Dan P||Stiller, Peter F

publication date

• January 2020

publisher

• The Electronic Journal of Combinatorics  Publisher

published in

• The Electronic Journal of Combinatorics  Journal

Digital Object Identifier (DOI)

• 10.37236/9120

volume

• 27

issue

• 3

URL

• http://dx.doi.org/10.37236/9120