Extendable shellability for $d$-dimensional complexes on $d+3$ vertices
Autor: | Culbertson, Jared, Dochtermann, Anton, Guralnik, Dan P., Stiller, Peter F. |
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Rok vydání: | 2019 |
Předmět: | |
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 |
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