Algorithms for leader election by cellular automata

被引:6
|
作者
Nichitiu, C [1 ]
Mazoyer, J
Rémila, E
机构
[1] Univ St Etienne, EURISE, 23 Rue Dr Paul Michelon, F-42023 St Etienne, France
[2] Ecole Normale Super Lyon, LIP, F-69364 Lyon, France
[3] Univ St Etienne, IUT Roanne, Grima, F-42334 Roanne, France
来源
JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC | 2001年 / 41卷 / 02期
关键词
D O I
10.1006/jagm.2001.1175
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We present two cellular algorithms, in O(n) and respectively in O(w(2)), for the leader election problem on finite connected rings F and respectively finite connected subsets of Z(d), of eccentricity w, for any fixed d. The problem consists of 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 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 algorithms in detail, give their proofs and complexities, and discuss the possible extensions. (C) 2001 Elsevier Science.
引用
收藏
页码:302 / 329
页数:28
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