Harmonic games

These pages will be devoted to "harmonic games," i.e., analysis of evolutions of states of an arbitrary graph, determined by the harmonic operator.

For now, you can download:

Paper that introduces this concept: " Harmonic games on graphs " (on harmonic operator, harmonic evolution, and certain graph invariants)

Algorithm that calculates the evolution digraph for a graph. Choose source (ascii text for QBasic, 12kB) or program (exe, 49kB).

See also Graphs We Live By -- a review of some graphs that are noted either in math or in culture in general. Each is provided with a the description of its "digraph of harmonic evolution."

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You can reach me by e-mail at: jkocik@siu.edu.