Harmonic evolutions on graphs
نویسنده
چکیده
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.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1201.1355 شماره
صفحات -
تاریخ انتشار 2007