Distance-k Information in Self-stabilizing Algorithms

@inproceedings{Goddard2006DistancekII,
  title={Distance-k Information in Self-stabilizing Algorithms},
  author={Wayne Goddard and Stephen T. Hedetniemi and David Pokrass Jacobs and Vilmar Trevisan},
  booktitle={SIROCCO},
  year={2006}
}
Many graph problems seem to require knowledge that extends beyond the immediate neighbors of a node. The usual self-stabilizing model only allows for nodes to make decisions based on the states of their immediate neighbors. We provide a general polynomial transformation for constructing self-stabilizing algorithms which utilize distance-shape k knowledge, with a slowdown of nO(log k). Our main application is a polynomial-time self-stabilizing algorithm for finding maximal irredundant sets, a… 

Distance- k knowledge in self-stabilizing algorithms

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