Trotignon, N and Vuskovic, K (2011) On Roussel-Rubio-type lemmas and their consequences. Discrete Mathematics, 311 (8-9). 684 - 687 . ISSN 0012-365X
Abstract
Roussel and Rubio proved a lemma which is essential in the proof of the Strong Perfect Graph Theorem. We give a new short proof of the main case of this lemma. In this note, we also give a short proof of Hayward’s decomposition theorem for weakly chordal graphs, relying on a Roussel–Rubio-type lemma. We recall how Roussel–Rubio-type lemmas yield very short proofs of the existence of even pairs in weakly chordal graphs and Meyniel graphs.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | berge graph, perfect graph, Roussel-Rubio lemma, weakly chordal graph, even pair, imperfect graphs, berge graphs |
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) |
Depositing User: | Symplectic Publications |
Date Deposited: | 22 Jun 2012 08:36 |
Last Modified: | 04 Nov 2016 00:39 |
Published Version: | http://dx.doi.org/10.1016/j.disc.2011.01.013 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.disc.2011.01.013 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:74346 |
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