Parallel Chip Firing Game associated with n-cube orientations

René Ndoundam (1) , Maurice Tchuente (1) , Claude Tadonki (2)

1 Laboratoire de Calcul Parallèle
2 IEF - Institut d'électronique fondamentale

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 $2^n$ on $H_n$ ( n >= 1), and of odd lengths different from 3 and ranging from 1 to $2^{n-1}-1$ on $H_n$ (n >= 4).

Domaines: Réseau de neurones [cs.NE]

René Ndoundam, Maurice Tchuente, Claude Tadonki. Parallel Chip Firing Game associated with n-cube orientations. International Conference on Computational Science 2004, ICCS 2004, Jun 2004, Krakov, Poland. pp.610,611,612,613. ⟨hal-00496371⟩