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» Topological properties of sand automata as cellular automata
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MFCS
2004
Springer
16 years 1 days ago
Simulating 3D Cellular Automata with 2D Cellular Automata
The purpose of this article is to describe a way to simulate any 3-dimensional cellular automaton with a 2-dimensional cellular automaton. We will present the problems that arise w...
Victor Poupet
CORR
2012
Springer
200views Education» more  CORR 2012»
14 years 2 months ago
Harmonic evolutions on graphs
We define the harmonic evolution of states of a graph by iterative application of the harmonic operator (Laplacian over Z2). This provides graphs with a new geometric context and...
Jerzy Kocik
ACRI
2010
Springer
15 years 3 months ago
Using Cellular Automata on a Graph to Model the Exchanges of Cash and Goods
This paper investigates the behaviors and the properties of a "Give and Take" cellular automaton on a graph. Using an economical metaphor, this model implements the excha...
Ranaivo Mahaleo Razakanirina, Bastien Chopard
JAC
2008
15 years 8 months ago
Neighborhood transformations on graph automata
Abstract. We consider simulations of graph automata. We introduce two local transformations on the neighborhood: splitting and merging. We explain how to use such transformations, ...
Bruno Martin, Christophe Papazian
JAC
2008
15 years 8 months ago
Rule 110: universality and catenations
Cellular automata are a simple model of parallel computation. Many people wonder about the computing power of such a model. Following an idea of S. Wolfram [16], M. Cook [3] has pr...
Gaétan Richard