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Parallel Chip Firing Game associated with n-cube orientations · UY1 Research Hub

Scientific publications

2010PreprintEnglishOpen access

Parallel Chip Firing Game associated with n-cube orientations (opens in a new tab)

Authors

Institut national de recherche en sciences et technologies du numérique

René Ndoundam
Other affiliations: Institut de Recherche en Informatique et Systèmes Aléatoires · Laboratoire de l'Informatique du Parallélisme
Maurice Tchuenté

Other affiliations: Institut de Recherche en Informatique et Systèmes Aléatoires · Laboratoire de l'Informatique du Parallélisme

Claude Tadonki

Other affiliations: Institut de Recherche en Informatique et Systèmes Aléatoires

arXiv (Cornell University)

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 $2^n$ 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).

Keywords

mathematical dynamics and fractals
computability, logic, ai algorithms
theoretical and computational physics
cube (algebra)
chip
combinatorics
parallel computing
mathematics
computer science
telecommunications

Publication details

Year: 2010
Type: Preprint
Language: English
DOI: 10.48550/arxiv.1007.0381 (opens in a new tab)

Access and resources

Read PDFarxiv.org (opens in a new tab)
[DOI]doi.org (opens in a new tab)