Title
Isomorphism of graph classes related to the circular-ones property.
Abstract
We give a linear-time algorithm that checks for isomorphism between two 0 - 1 matrices that obey the circular-ones property. Our algorithm is similar to the isomorphism algorithm for interval graphs of Lueker and Booth, but works on PC trees, which are unrooted and have a cyclic nature, rather than with PQ trees, which are rooted. This algorithm leads to linear-time isomorphism algorithms for related graph classes, including Helly circular-arc graphs, Gamma circular-arc graphs, proper circular- arc graphs and convex-round graphs.
Year
Venue
Keywords
2013
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
circular-ones property,matrix isomorphism,circular-arc graphs,graph isomorphism,PC tree
DocType
Volume
Issue
Journal
15.0
1.0
ISSN
Citations 
PageRank 
1462-7264
16
1.01
References 
Authors
21
7
Name
Order
Citations
PageRank
Andrew R. Curtis179277.26
Min Chih Lin225921.22
R McConnell382566.28
Yahav Nussbaum41228.59
Francisco J. Soulignac510110.56
Jeremy P. Spinrad61342115.52
Jayme Luiz Szwarcfiter761895.79