English

Parallel Chip Firing Game associated with n-cube orientations

Discrete Mathematics 2010-07-05 v1

Abstract

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 2n2^n on HnH_n (n >= 1), and of odd lengths different from 3 and ranging from 1 to 2n112^{n-1}-1 on HnH_n (n >= 4).

Cite

@article{arxiv.1007.0381,
  title  = {Parallel Chip Firing Game associated with n-cube orientations},
  author = {René Ndoundam and Maurice Tchuente and Claude Tadonki},
  journal= {arXiv preprint arXiv:1007.0381},
  year   = {2010}
}
R2 v1 2026-06-21T15:43:54.828Z