Circular Arrangements

  • Authors:
  • Vincenzo Liberatore

  • Affiliations:
  • -

  • Venue:
  • ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
  • Year:
  • 2002

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Abstract

Motivated by a scheduling problem in multicast environments, we consider the problem of arranging a weighted graph around a circle so as to minimize the total weighted arc length. We describe the first polynomial-time approximation algorithms for this problem, and specifically an O(log n)-approximation algorithm for undirected circular arrangements and a 脮(log n)-approximation algorithm for directed circular arrangements. We will show that a simplification of the latter algorithm has better performance than previous heuristics on graphs obtained from a busy Web server log.