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Priority Algorithms for Graph Optimization Problems

  • Allan Borodin
  • Joan Boyar
  • Kim S. Larsen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3351)

Abstract

We continue the study of priority or “greedy-like” algorithms as initiated in [6] and as extended to graph theoretic problems in [9]. Graph theoretic problems pose some modelling problems that did not exist in the original applications of [6] and [2]. Following [9], we further clarify these concepts. In the graph theoretic setting there are several natural input formulations for a given problem and we show that priority algorithm bounds in general depend on the input formulation. We study a variety of graph problems in the context of arbitrary and restricted priority models corresponding to known “greedy algorithms”.

Keywords

Greedy Algorithm Approximation Ratio Chromatic Number Vertex Cover Combinatorial Auction 
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 2005

Authors and Affiliations

  • Allan Borodin
    • 1
  • Joan Boyar
    • 2
  • Kim S. Larsen
    • 2
  1. 1.Department of Computer ScienceUniversity of Toronto 
  2. 2.Department of Mathematics and Computer ScienceUniversity of Southern DenmarkOdense

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