2-manifold recognition is in logspace

Benjamin A Burton, Murray Elder, Arkadius Kalka, Stephan Tillmann

Abstract


We prove that the homeomorphism problem for 2--manifolds can be decided in logspace. The proof relies on Reingold's logspace solution to the undirected $s,t$-connectivity problem in graphs.


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DOI: http://dx.doi.org/10.20382/jocg.v7i1a4

ISSN: 1920-180X