Recognizing shrinkable complexes is NP-complete

We say that a simplicial complex is "shrinkable" if there exists a sequence of admissible edge contractions that reduces the complex to a single vertex. We prove that it is NP-complete to  decide whether a (two-dimensional) simplicial complex is shrinkable. Along the way, we describe examp...

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Bibliographic Details
Main Authors: Dominique Attali, Olivier Devillers, Marc Glisse, Sylvain Lazard
Format: Article
Language:English
Published: Carleton University 2016-10-01
Series:Journal of Computational Geometry
Online Access:http://jocg.org/index.php/jocg/article/view/275