Title
Reductions to Graph Isomorphism
Abstract
We show that several reducibility notions coincide when applied to the Graph Isomorphism (GI) problem. In particular we show that if a set is many-one logspace reducible to GI, then it is in fact many-one AC 0 reducible to GI. For the case of Turing reducibilities we show that for any k ≥ 0 an NC k + 1 reduction to GI can be transformed into an AC k reduction to the same problem.
Year
DOI
Venue
2007
https://doi.org/10.1007/s00224-008-9159-1
Theory of Computing Systems
Keywords
Field
DocType
Computational complexity,Reducibilities,Graph isomorphism
Graph canonization,Discrete mathematics,Combinatorics,Graph isomorphism,Reduction (recursion theory),Turing,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
47
1
1432-4350
ISBN
Citations 
PageRank 
3-540-77049-6
0
0.34
References 
Authors
10
1
Name
Order
Citations
PageRank
Jacobo Torán156449.26