New counts for the number of triangulations of cyclic polytopes
Michael Joswig, Lars Kastner
TL;DR
This paper introduces new software to enumerate triangulations of cyclic polytopes, highlighting their significance in higher Stasheff-Tamari orders within category theory and algebraic combinatorics.
Contribution
The paper presents a novel software tool, mptopcom, for enumerating triangulations of cyclic polytopes, advancing computational methods in this area.
Findings
Enumerated triangulations of cyclic polytopes using mptopcom
Established connections between triangulations and higher Stasheff-Tamari orders
Enhanced understanding of combinatorial structures in category theory
Abstract
We report on enumerating the triangulations of cyclic polytopes with the new software mptopcom. This is relevant for its connection with higher Stasheff-Tamari orders, which occur in category theory and algebraic combinatorics.
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