Recognition of collapsible complexes is NP-complete

Martin Tancer

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arXiv · 1211.6254

Recognition of collapsible complexes is NP-complete

Martin Tancer

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Abstract

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.

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Martin Tancer. 2015-10-07. Recognition of collapsible complexes is NP-complete. https://arxiv.org/abs/1211.6254

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