Title
Bounded Color Multiplicity Graph Isomorphism is in the #L Hierarchy
Abstract
In this paper we study the complexity of Bounded Color Multiplicity Graph Isomorphism BCGIb: the input is a pair of vertex-colored graphs such that the number of vertices of a given color in an input graph is bounded by b.We show that BCGIb is in the #L hierarchy (more precisely, the ModkL hierarchy for some constant k depending on b). Combined with the fact that Bounded Color Multiplicity Graph Isomorphism is logspace many-one hard for every set in the ModkL hierarchy for any constant k, we get a tight classification of the problem using logspace-bounded counting classes.
Year
DOI
Venue
2004
10.1109/CCC.2005.7
Electronic Colloquium on Computational Complexity
Keywords
DocType
ISSN
vertex-colored graph,color multiplicity graph isomorphism,tight classification,isomorphism bcgib,logspace many-one,bounded color multiplicity graph,constant k,modkl hierarchy,l hierarchy,input graph,graph isomorphism,polynomials,computational complexity,parallel algorithms,galois fields,computational modeling
Journal
1093-0159
ISBN
Citations 
PageRank 
0-7695-2364-1
5
0.45
References 
Authors
11
3
Name
Order
Citations
PageRank
V. Arvind112212.03
Piyush P. Kurur2889.41
T. C. Vijayaraghavan3193.54