Chudnovsky, M, Liu, C-H, Schaudt, O et al. (3 more authors) (2019) Triangle-free graphs that do not contain an induced subdivision of K₄ are 3-colorable. Journal of Graph Theory, 92 (2). pp. 67-95. ISSN 0364-9024
Abstract
We show that triangle-free graphs that do not contain an induced subgraph isomorphic to a subdivision of K4 are 3-colorable. This proves a conjecture of Trotignon and Vušković [J. Graph Theory. 84 (2017), no. 3, pp. 233–248].
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: Chudnovsky, M, Liu, C-H, Schaudt, O et al. (2018) Triangle-free graphs that do not contain an induced subdivision of K4 are 3-colorable. Journal of Graph Theory. ISSN 0364-9024, which has been published in final form at https://doi.org/10.1002/jgt.22441. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. |
Keywords: | coloring; induced subgraph |
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/N019660/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 02 Jan 2019 11:53 |
Last Modified: | 13 Dec 2019 01:38 |
Status: | Published |
Publisher: | Wiley |
Identification Number: | 10.1002/jgt.22441 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:119051 |