Boncompagni, V, Penev, I and Vušković, K (2019) Clique-cutsets beyond chordal graphs. Journal of Graph Theory, 91 (2). pp. 192-246. ISSN 0364-9024
Abstract
Truemper configurations (thetas, pyramids, prisms, and wheels) have played an important role in the study of complex hereditary graph classes (eg, the class of perfect graphs and the class of even‐hole‐free graphs), appearing both as excluded configurations, and as configurations around which graphs can be decomposed. In this paper, we study the structure of graphs that contain (as induced subgraphs) no Truemper configurations other than (possibly) universal wheels and twin wheels. We also study several subclasses of this class. We use our structural results to analyze the complexity of the recognition, maximum weight clique, maximum weight stable set, and optimal vertex coloring problems for these classes. Furthermore, we obtain polynomial x-bounding functions for these classes.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 Wiley Periodicals, Inc. This is the peer reviewed version of the following article: Boncompagni, V, Penev, I and Vusković, K (2018) Clique-cutsets beyond chordal graphs. Journal of Graph Theory, which has been published in final form at https://doi.org/10.1002/jgt.22428. This article may be used for noncommercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | algorithms; clique; stable set; structure; vertex coloring |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/K016423/1 EPSRC EP/N019660/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Sep 2018 12:15 |
Last Modified: | 19 Dec 2019 01:38 |
Status: | Published |
Publisher: | John Wiley & Sons Inc. |
Identification Number: | 10.1002/jgt.22428 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:135400 |