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12

CORR
2012
Springer

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Harmonic evolutions on graphs

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Harmonic evolutions on graphs

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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 leads to a new tool to analyze them. The digraphs of evolutions are analyzed and classiﬁed. This construction can also be viewed as a certain topological generalization of cellular automata. MSC: 05C50, 15A33, 05C75, 05C85.

Jerzy Kocik

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Cellular Automata | CORR 2012 | Digraphs | Education | Laplacian |

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Added	20 Apr 2012
Updated	20 Apr 2012
Type	Journal
Year	2012
Where	CORR
Authors	Jerzy Kocik

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