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New counts for the number of triangulations of cyclic polytopes. (English) Zbl 1395.05001
Davenport, James H. (ed.) et al., Mathematical software – ICMS 2018. 6th international conference, South Bend, IN, USA, July 24–27, 2018. Proceedings. Cham: Springer (ISBN 978-3-319-96417-1/pbk; 978-3-319-96418-8/ebook). Lecture Notes in Computer Science 10931, 264-271 (2018).
Summary: 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.
For the entire collection see [Zbl 1391.68004].
MSC:
05-04 Software, source code, etc. for problems pertaining to combinatorics
05C30 Enumeration in graph theory
52B99 Polytopes and polyhedra
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