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Exact Algorithms for Intervalizing Colored Graphs

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Theory and Practice of Algorithms in (Computer) Systems (TAPAS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6595))

Abstract

In the Intervalizing Colored Graphs problem, one must decide for a given graph Gā€‰=ā€‰(V,E) with a proper vertex coloring of G whether G is the subgraph of a properly colored interval graph. For the case that the number of colors k is fixed, we give an exact algorithm that uses \(O^{*}(2^{n/log^{1-\epsilon}(n)})\) time for all Īµ>ā€‰0. We also give an O *(2n) algorithm for the case that the number of colors k is not fixed.

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Bodlaender, H.L., van Rooij, J.M.M. (2011). Exact Algorithms for Intervalizing Colored Graphs. In: Marchetti-Spaccamela, A., Segal, M. (eds) Theory and Practice of Algorithms in (Computer) Systems. TAPAS 2011. Lecture Notes in Computer Science, vol 6595. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19754-3_7

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  • DOI: https://doi.org/10.1007/978-3-642-19754-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19753-6

  • Online ISBN: 978-3-642-19754-3

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