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Author Goles, E.; Moreira, A.
Title Number-Conserving Cellular Automata and Communication Complexity: A Numerical Exploration Beyond Elementary CAs Type
Year 2012 Publication Journal Of Cellular Automata Abbreviated Journal J. Cell. Autom.
Volume 7 Issue 2 Pages 151-165
Keywords Number-Conserving; Communication Complexity; One-dimensional Cellular Automata
Abstract We perform a numerical exploration of number-conserving cellular automata (NCCA) beyond the class of elementary CAs, in search of examples with high communication complexity. We consider some possible generalizations of the elementary rule 184 (a minimal model of traffic, which is the only non-trivial elementary NCCA). as well as the classes of NCCAs which minimally extend either the radius or the state set (with respect to the 2 states and radius 1 of the elementary case). Both for 3 states and radius 1, and for 2 stales and radius 2, NCCA appear that are conjectured to have maximal (exponential) communication complexity. Examples are given also for (conjectured) linear and quadratic behaviour.
Address [Goles, Eric] Univ Adolfo Ibanez, Santiago, Chile, Email: andres.moreira@usm.cl
Corporate Author Thesis
Publisher Old City Publishing Inc Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1557-5969 ISBN Medium
Area Expedition (up) Conference
Notes WOS:000302978700004 Approved
Call Number UAI @ eduardo.moreno @ Serial 210
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