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On beta-skeleton automata with memory (1212.2963v1)
Published 12 Dec 2012 in cs.ET, cs.FL, and nlin.CG
Abstract: A \beta-skeleton is a proximity undirected graph whose connectivity is determined by the parameter \beta. We study \beta-skeleton automata where every node is a finite state machine taking two states, and updating its states depending on the states of adjacent automata-nodes. We allow automata-nodes to remember their previous states. In computational experiments we study how memory affects the global space-time dynamics on \beta-skeleton automata.