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Graph Isomorphism and Circuit Size

Authors :
Allender, Eric
Grochow, Joshua A.
van Melkebeek, Dieter
Moore, Cristopher
Morgan, Andrew
Publication Year :
2015

Abstract

It is well-known [KST93] that the complexity of the Graph Automorphism problem is characterized by a special case of Graph Isomorphism, where the input graphs satisfy the "promise" of being rigid (that is, having no nontrivial automorphisms). In this brief note, we observe that the reduction of Graph Automorphism to the Rigid Graph Ismorphism problem can be accomplished even using Grollman and Selman's notion of a "smart reduction".<br />Comment: 6 pages

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1511.08189
Document Type :
Working Paper