2-manifold recognition is in logspace
Geometric Topology
2014-12-04 v1 Computational Complexity
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 -connectivity problem in graphs.
Cite
@article{arxiv.1412.1188,
title = {2-manifold recognition is in logspace},
author = {Benjamin A. Burton and Murray Elder and Arkadius Kalka and Stephan Tillmann},
journal= {arXiv preprint arXiv:1412.1188},
year = {2014}
}
Comments
11 pages, 2 figures