DISTANCE-TWO INFORMATION IN SELF-STABILIZING ALGORITHMS

Author:

GAIRING MARTIN1,GODDARD WAYNE2,HEDETNIEMI STEPHEN T.2,KRISTIANSEN PETTER3,McRAE ALICE A.4

Affiliation:

1. Faculty of Computer Science, Electrical Engineering and Mathematics, University of Paderborn, 33102 Paderborn, Germany

2. Department of Computer Science, Clemson University, Clemson, SC 29634, USA

3. Department of Informatics, University of Bergen, N-5020 Bergen, Norway

4. Department of Computer Science, Appalachian State University, Boone, NC 28608, USA

Abstract

In the state-based self-stabilizing algorithmic paradigm for distributed computing, each node has only a local view of the system (seeing its neighbors' states), yet in a finite amount of time the system converges to a global state satisfying some desired property. In this paper we introduce a general mechanism that allows a node to act only on correct distance-two knowledge, provided there are IDs. We then apply the mechanism to graph problems in the areas of coloring and domination. For example, we obtain an algorithm for maximal 2-packing which is guaranteed to stabilize in polynomial moves under a central daemon.

Publisher

World Scientific Pub Co Pte Lt

Subject

Hardware and Architecture,Theoretical Computer Science,Software

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