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Recognition of Collapsible Complexes is NP-Complete
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.). Department of Applied Mathematics, Charles University in Prague, Czech Republic.
2016 (English)In: Discrete & Computational Geometry, ISSN 0179-5376, E-ISSN 1432-0444, Vol. 55, no 1, 21-38 p.Article in journal (Refereed) Published
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Abstract [en]

We prove that it is NP-complete to decide whether a given (3-dimensional) simplicial complex is collapsible. This work extends a result of Malgouyres and Francés showing that it is NP-complete to decide whether a given simplicial complex collapses to a 1-complex.

Place, publisher, year, edition, pages
Springer-Verlag New York, 2016. Vol. 55, no 1, 21-38 p.
Keyword [en]
Bing’s house, Collapsibility, NP-hardness, Simplicial complex
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-181450DOI: 10.1007/s00454-015-9747-1Scopus ID: 2-s2.0-84953348258OAI: oai:DiVA.org:kth-181450DiVA: diva2:900181
Note

QC 20160203

Available from: 2016-02-03 Created: 2016-02-02 Last updated: 2016-02-03Bibliographically approved

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