Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
426732 | Information and Computation | 2016 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Johannes Köbler, Sebastian Kuhnert, Oleg Verbitsky,