Priority algorithms for graph optimization problems

  • Authors:
  • Allan Borodin;Joan Boyar;Kim S. Larsen

  • Affiliations:
  • Department of Computer Science, University of Toronto;Department of Mathematics and Computer Science, University of Southern Denmark, Odense;Department of Mathematics and Computer Science, University of Southern Denmark, Odense

  • Venue:
  • WAOA'04 Proceedings of the Second international conference on Approximation and Online Algorithms
  • Year:
  • 2004

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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”.