Even-hole-free graphs part I: Decomposition theorem

Authors:
Michele Conforti;Gérard Cornuéjols;Ajai Kapoor;Kristina Vušković
Affiliations:
Dipartimento di Matematica Pura ed Applicata, Universitá di Padova, Via Belzoni 7, 35131 Padova, Italy;Carnegie Mellon University, Schenley Park, Pittsburgh, PA 15213, USA;Speedtomarket, 510 Shadowgraph Dr, San Jose, CA 95110, USA;School of Computer Studies, University of Leeds, Leeds LS29JT, United Kingdom
Venue:
Journal of Graph Theory
Year:
2002

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Abstract

We prove a decomposition theorem for even-hole-free graphs. The decompositions used are 2-joins and star, double-star and triple-star cutsets. This theorem is used in the second part of this paper to obtain a polytime recognition algorithm for even-hole-free graphs. © 2002 John Wiley & Sons, Inc. J Graph Theory 39: 6–49, 2002 Part of the research was completed while Kristina Vušković was at the Department of Combinatorics and Optimization, University of Waterloo on an NSERC Canada International Fellowship.