Isomorphism of graph classes related to the circular-ones property

Andrew R. Curtis,Min Chih Lin,Ross M. McConnell,Yahav Nussbaum,Francisco J. Soulignac,Jeremy P. Spinrad,Jayme L. Szwarcfiter

DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE（2012）

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摘要

We give a linear-time algorithm that checks for isomorphism between two 0-1 matrices that obey the circular-ones property. 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.

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关键词

circular-ones property,matrix isomorphism,circular-arc graphs,graph isomorphism,PC tree

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