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Efficient Algorithms for the k Smallest Cuts Enumeration

  • Li-Pu Yeh
  • Biing-Feng Wang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5092)

Abstract

In this paper, we study the problems of enumerating cuts of a graph by non-decreasing weights. There are four problems, depending on whether the graph is directed or undirected, and on whether we consider all cuts of the graph or only s-t cuts for a given pair of vertices s, t. Efficient algorithms for these problems with \({\tilde{\mbox{O}}}(n^2m)\) delay between two successive outputs have been known since 1992, due to Vazirani and Yannakakis. In this paper, improved algorithms are presented. The delays of the presented algorithms are O(nm log(n 2/m)).

Keywords

Undirected Graph Basic Partition Sink Vertex Sink Side Basic Subroutine 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Li-Pu Yeh
    • 1
  • Biing-Feng Wang
    • 1
  1. 1.Department of Computer ScienceNational Tsing Hua UniversityHsinchuTaiwan

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