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The chip firing game onn-cycles

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Abstract

Spencer introduced a chip firing game on a line, which was generalized by Björner, Lovasz and Shor to graphs. This paper characterizes those configurations which may be repeated in a game, and analyzes the game forn-cycles.

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References

  1. Anderson, R.J., Lovász, L., Shor, P.W., Spencer, J., Tardos, É., Winograd, S.: Disks, balls and walls: analysis of a combinatorial game, Amer. Math. Monthly96 (6, 481–493 (1989)

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  2. Björner, A., Lovász, L., Shor, P.W.: Chip-firing games on graphs, Europ. J. Comb.12, 283–291 (1991)

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  4. Tardos, G.: Polynomial bound for a chip firing game on graphs, Siam J. Disc. Math.1 (3, 397–398 (1988)

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This research was funded by NSERC operating grants.

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Jeffs, J., Seager, S. The chip firing game onn-cycles. Graphs and Combinatorics 11, 59–67 (1995). https://doi.org/10.1007/BF01787422

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  • DOI: https://doi.org/10.1007/BF01787422

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