Title
On the isomorphism problem for Helly circular-arc graphs.
Abstract
The isomorphism problem is known to be efficiently solvable for interval graphs, while for the larger class of circular-arc graphs its complexity status stays open. We consider the intermediate class of intersection graphs for families of circular arcs that satisfy the Helly property. We solve the isomorphism problem for this class in logarithmic space. If an input graph has a Helly circular-arc model, then our algorithm constructs it canonically, which means that the models constructed for isomorphic graphs are equal.
Year
DOI
Venue
2014
10.1016/j.ic.2016.01.006
Information and Computation
Keywords
DocType
Volume
Graph isomorphism,Circular-arc graphs,Helly property,Graph representation,Logarithmic space
Journal
247
Issue
ISSN
Citations 
C
0890-5401
1
PageRank 
References 
Authors
0.35
14
3
Name
Order
Citations
PageRank
Johannes Köbler158046.51
Sebastian Kuhnert2366.52
Oleg Verbitsky319127.50