Extendable Shellability for $d$-Dimensional Complexes on $d+3$ Vertices

  • Jared Culbertson
  • Anton Dochtermann
  • Dan P. Guralnik
  • Peter F. Stiller
DOI: https://doi.org/10.37236/9120

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.  

Published
2020-09-04
How to Cite
Culbertson, J., Dochtermann, A., Guralnik, D. P., & Stiller, P. F. (2020). Extendable Shellability for $d$-Dimensional Complexes on $d+3$ Vertices. The Electronic Journal of Combinatorics, 27(3), P3.46. https://doi.org/10.37236/9120
Issue
Volume 27, Issue 3 (2020)
Article Number
P3.46