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Upper Bounds for Vertex Cover Further Improved

  • Rolf Niedermeier
  • Peter Rossmanith
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1563)

Abstract

The problem instance of Vertex Cover consists of an undirected graph G = (V, E) and a positive integer k, the question is whether there exists a subset C ⊂-V of vertices such that each edge in E has at least one of its endpoints in C with |C|≤ k. We improve two recent worst case upper bounds for Vertex Cover. First, Balasubramanian et al. showed that Vertex Cover can be solved in time O(kn + 1.32472k k 2), where n is the number of vertices in G. Afterwards, Downey et al. improved this to O(kn + 1.31951k k 2). Bringing the exponential base significantly below 1.3, we present the new upper bound O(kn + 1.29175k k 2).

Keywords

Search Tree Vertex Cover Optimal Cover Marked Vertex Search Tree Algorithm 
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 1999

Authors and Affiliations

  • Rolf Niedermeier
    • 1
  • Peter Rossmanith
    • 2
  1. 1.Wilhelm-Schickard-Institut für InformatikUniversität TübingenTübingenFed. Rep. of Germany
  2. 2.Institut für InformatikTechnische Universität MünchenMünchenFed. Rep. of Germany

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