Title
Isomorhism of Hypergraphs of Low Rank in Moderately Exponential Time
Abstract
We give an algorithm to decide isomorphism of hypergraphs of rank k in time exp (Otilde(k2radicn)), where n is the number of vertices. (The rank is the maximum size of edges; the tilde refers to a polylogarithmic factor.) The case of bounded k answers a 24-year-old question and removes an obstacle to improving the worst case-bound for Graph Isomorphism testing. The best previously known bound, even for k = 3, was Cn (Luks 1999).
Year
DOI
Venue
2008
10.1109/FOCS.2008.80
Philadelphia, PA
Keywords
Field
DocType
computational complexity,graph theory,isomorphism,exponential time,graph isomorphism testing,hypergraphs,algorithm,graph isomorphism,hypergraph,moderately exponential,permutation groups
Graph theory,Discrete mathematics,Combinatorics,Vertex (geometry),Graph isomorphism,Hypergraph,Constraint graph,Rank (graph theory),Isomorphism,Mathematics,Bounded function
Conference
ISSN
ISBN
Citations 
0272-5428
978-0-7695-3436-7
10
PageRank 
References 
Authors
0.78
9
2
Name
Order
Citations
PageRank
Laszlo Babai13537573.58
Paolo Codenotti2100.78