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Leader Election by d Dimensional Cellular Automata
Abstract : We present a cellular algorithm in O(w^2) for the leader election problem on a finite connected subset F of Z^d of diameter w, for any fixed d. The problem consists in finding an algorithm such that when setting the elements of F to a special state, and all the others to a state #, the cellular automaton iterates a finite number of steps and eventually sets only one precise element of F to a special state called leader state. We describe the algorithm in detail, prove it and its complexity, and discuss the possible extensions on more general Cayley graphs.
https://hal-lara.archives-ouvertes.fr/hal-02101924
Contributor : Colette ORANGE Connect in order to contact the contributor
Submitted on : Wednesday, April 17, 2019 - 9:09:52 AM
Last modification on : Saturday, September 11, 2021 - 3:19:18 AM
Contributor : Colette ORANGE Connect in order to contact the contributor
Submitted on : Wednesday, April 17, 2019 - 9:09:52 AM
Last modification on : Saturday, September 11, 2021 - 3:19:18 AM
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RR1999-01.pdf
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