论文标题

巡回赛以及封闭骑士旅行的快速一代和混淆

Tourneys and the Fast Generation and Obfuscation of Closed Knight's Tours

论文作者

Parberry, Ian

论文摘要

通过生成骑士图的顶点 - 偶发周期盖并加入由此产生的周期,可以获得生成封闭骑士旅行的新算法。实验表明,这些算法在实践中的速度明显快于以前的方法。还提供了一种封闭骑士旅行的快速混淆算法,该算法掩盖了其发电方法所产生的明显人工制品,以及其功效的视觉和统计证据。

New algorithms for generating closed knight's tours are obtained by generating a vertex-disjoint cycle cover of the knight's graph and joining the resulting cycles. It is shown experimentally that these algorithms are significantly faster in practice than previous methods. A fast obfuscation algorithm for closed knight's tours that obscures obvious artifacts created by their method of generation is also given, along with visual and statistical evidence of its efficacy.

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