Exact Algorithms for Intervalizing Coloured Graphs

Publication date

2016-02-01

Authors

Bodlaender, H.L.ORCID 0000-0002-9297-3330ISNI 0000000081342475
van Rooij, JohanORCID 0000-0001-9149-4162ISNI 0000000395860005

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Document Type

Article
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Abstract

In the Intervalizing Coloured Graphs problem, one must decide for a given graph G = (V, E) with a proper vertex colouring of G whether G is the subgraph of a properly coloured interval graph. For the case that the number of colors is fixed, we give an exact algorithm that uses (Formula Presented.) time. We also give an (Formula Presented.) algorithm for the case that the number of colors is not fixed.

Keywords

Exact algorithms, Graph algorithms, Interval graphs, Intervalizing coloured graphs, Pathwidth, Subexponential time, Theoretical Computer Science, Computational Theory and Mathematics

Citation

Bodlaender, H L & van Rooij, J M M 2016, 'Exact Algorithms for Intervalizing Coloured Graphs', Theory of Computing Systems, vol. 58, no. 2, pp. 273-286. https://doi.org/10.1007/s00224-015-9616-6