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On the Number of Minimum Cuts in a Graph

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Computing and Combinatorics (COCOON 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2387))

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Abstract

We relate the number of minimum cuts in a weighted undirected graph with various structural parameters of the graph. In particular, we upper—bound the number of minimum cuts in terms of the radius, diameter, minimum degree, maximum degree, chordality, expansion, girth etc. of the graph.

This research is supported in part by the Infosys Fellowship.

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© 2002 Springer-Verlag Berlin Heidelberg

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Chandran, L.S., Ram, L.S. (2002). On the Number of Minimum Cuts in a Graph. In: Ibarra, O.H., Zhang, L. (eds) Computing and Combinatorics. COCOON 2002. Lecture Notes in Computer Science, vol 2387. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45655-4_25

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  • DOI: https://doi.org/10.1007/3-540-45655-4_25

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43996-7

  • Online ISBN: 978-3-540-45655-1

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