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Largest Chordal and Interval Subgraphs Faster Than 2n

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Book cover Algorithms – ESA 2013 (ESA 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8125))

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Abstract

We prove that in an n-vertex graph, induced chordal and interval subgraphs with the maximum number of vertices can be found in time \(\mathcal{O}(2^{\lambda n})\) for some λ < 1. These are the first algorithms breaking the trivial 2n n O(1) bound of the brute-force search for these problems.

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Bliznets, I., Fomin, F.V., Pilipczuk, M., Villanger, Y. (2013). Largest Chordal and Interval Subgraphs Faster Than 2n . In: Bodlaender, H.L., Italiano, G.F. (eds) Algorithms – ESA 2013. ESA 2013. Lecture Notes in Computer Science, vol 8125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40450-4_17

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  • DOI: https://doi.org/10.1007/978-3-642-40450-4_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40449-8

  • Online ISBN: 978-3-642-40450-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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