Shellability is NP-complete

Zuzana Patáková (Charles University, Prague)

03-Nov-2020, 18:15-18:45 (3 years ago)

Abstract: Shellability is an important notion that lead to such mathematical discoveries as the Dehn-Sommerville relations, the Upper Bound Theorem, and characterization of topology of the Bruhat order. Roughly speaking, a simplicial complex is shellable if it can be build inductively while controlling its topological properties. In this talk we show that starting from dimension two, deciding shellability is NP-complete.

Joint work with Xavier Goaoc, Pavel Paták, Martin Tancer, and Uli Wagner.

discrete mathematicscombinatoricsgeometric topology

Audience: researchers in the discipline

( paper | slides | video )


LA Combinatorics and Complexity Seminar

Series comments: Password is on the seminar page. www.math.ucla.edu/~pak/seminars/CCSem-Fall-2020.htm

Organizers: Igor Pak*, Greta Panova
*contact for this listing

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