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


Abstract in English

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.

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