Optimal deterministic self-stabilizing vertex coloring in unidirectional anonymous networks

A distributed algorithm is self-stabilizing if after faults and attacks hit the system and place it in some arbitrary global state, the systems recovers from this catastrophic situation without external intervention in finite time. Uni-directional networks preclude many common techniques in self-sta...

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Bibliographic Details
Main Authors: Bernard, S., Devismes, S., Potop-Butucaru, M.G., Tixeuil, S.
Format: Conference Proceeding
Language:English
Subjects:
Bidirectional control
Computer networks
Distributed algorithms
Humans
Network topology
Nominations and elections
Upper bound
Wireless networks
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Summary:A distributed algorithm is self-stabilizing if after faults and attacks hit the system and place it in some arbitrary global state, the systems recovers from this catastrophic situation without external intervention in finite time. Uni-directional networks preclude many common techniques in self-stabilization from being used, such as preserving local predicates. In this paper, we investigate the intrinsic complexity of achieving self-stabilization in unidirectional anonymous general networks, and focus on the classical vertex coloring problem. Specifically, we prove a lower bound of n states per process (where n is the network size) and a recovery time of at least n(n-1)/2 actions in total. We also provide a deterministic algorithm with matching upper bounds that performs in arbitrary unidirectional anonymous graphs.
ISSN:1530-2075
DOI:10.1109/IPDPS.2009.5161053