A Simpler Linear-Time Recognition of Circular-Arc Graphs

Haim Kaplan, Yahav Nussbaum

Abstract: We give a linear time recognition algorithm for circular-arc graphs. Our algorithm is much simpler than the linear time recognition algorithm of McConnell [10] (which is the only linear time recognition algorithm previously known). Our algorithm is a new and careful implementation of the algorithm of Eschen and Spinrad [4, 5]. We also tighten the analysis of Eschen and Spinrad.