与n-立方体方向相关的并行芯片发射博弈
Parallel Chip Firing Game associated with n-cube orientations
摘要:
我们研究了与n-立方体方向相关的芯片发射游戏所产生的周期。我们证明了$H_n$(n >= 1)上从2到$2^n$的偶数长度的平行演化以及$H_n$(n >= 4)上从1到$2^{n-1}-1$的奇数长度的平行演化所产生的圈的存在性.
英文摘要:
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).
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