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Colouring H-free graphs of bounded diameter.

Martin, B. and Paulusma, D. and Smith, S. (2019) 'Colouring H-free graphs of bounded diameter.', in 44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019). Dagstuhl, Germany: Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 14:1-14:14. Leibniz international proceedings in informatics., 138

Abstract

The Colouring problem is to decide if the vertices of a graph can be coloured with at most k colours for an integer k, such that no two adjacent vertices are coloured alike. A graph G is H-free if G does not contain H as an induced subgraph. It is known that Colouring is NP-complete for H-free graphs if H contains a cycle or claw, even for fixed k ≥3. We examine to what extent the situation may change if in addition the input graph has bounded diameter.

Item Type:Book chapter
Full text:(AM) Accepted Manuscript
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Full text:(VoR) Version of Record
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.4230/LIPIcs.MFCS.2019.14
Publisher statement:© Barnaby Martin, Daniel Paulusma and Siani Smith; licensed under Creative Commons License CC-BY.
Date accepted:11 June 2019
Date deposited:02 July 2019
Date of first online publication:20 August 2019
Date first made open access:No date available

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