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Generating All the Minimal Separators of a Graph

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1665))

Abstract

We present an efficient algorithm which computes the set of minimal separators of a graph in O(n 3) time per separator, thus gaining a factor of n 2 on the current best-time algorithms for this problem. Our process is based on a newst ructural result, derived from the work of Kloks and Kratsch on listing all the minimal separators of a graph.

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References

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© 1999 Springer-Verlag Berlin Heidelberg

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Berry, A., Bordat, JP., Cogis, O. (1999). Generating All the Minimal Separators of a Graph. In: Widmayer, P., Neyer, G., Eidenbenz, S. (eds) Graph-Theoretic Concepts in Computer Science. WG 1999. Lecture Notes in Computer Science, vol 1665. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46784-X_17

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  • DOI: https://doi.org/10.1007/3-540-46784-X_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66731-5

  • Online ISBN: 978-3-540-46784-7

  • eBook Packages: Springer Book Archive

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