Compass permits leader election
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Two-dimensional formal languages and pattern recognition by cellular automata
SWAT '71 Proceedings of the 12th Annual Symposium on Switching and Automata Theory (swat 1971)
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We present a cellular algorithm in O(w2) for the leader election problem on a finite connected subset F of Zd of excentricity 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, and all the others to a different state. We describe the algorithm in detail, outline its proof and complexity, and discuss the possible extensions on more general Cayley graphs.