Fault Tolerant Distributed Coloring Algorithms that Stabilize in Linear Time

  • Authors:
  • Stephen T. Hedetniemi;David Pokrass Jacobs;Pradip K. Srimani

  • Affiliations:
  • -;-;-

  • Venue:
  • IPDPS '02 Proceedings of the 16th International Parallel and Distributed Processing Symposium
  • Year:
  • 2002

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Abstract

We propose two new self-stabilizing distributed algorithms for proper 驴+1 (驴is the maximum degree of a node in the graph) coloring of arbitrary system graphs. Both algorithms are capable of working with multiple types of demons (schedulers) as is the most recent algorithm in [1]. The first algorithm converges in O(m) moves while the second converges in at most n moves (n is the number of nodes and m is the number of edges in the graph) as opposed to the O(驴 脳 n) moves required by the algorithm [1]. The second improvement is that neither of the proposed algorithms requires each node to have knowledge of 驴, as is required in [1]. Further, the coloring produced by our first algorithm provides an interesting special case of coloring, e.g., Grundy Coloring [2].