Parallel Chip Firing Game associated with n-cube orientations

We study the cycles generated by the chip firing game associated with n-cube orientations. We show the existence of the cycles generated by parallel evolutions of even lengths from 2 to 2n on Hn (n 1), and of odd lengths different from 3 and ranging from 1 to 2n-1 -1 on Hn (n 4). Keywords : Graph, chip firing game, parallel evolution, cycle, transient, n-cube orientation.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: René Ndoundam, Maurice Tchuente, Claude Tadonki
• Keywords: Chip Firing Game, CORR 2010, Education, N-cube Orientations, Parallel Evolutions