Calculating the crossing probability on the square tessellation of a connection game with random move order: The algorithm and its complexity

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Abstract

This paper presents an algorithm for calculating the crossing probability on the square tessellation of a connection game with random move order. The time complexity of the algorithm is O(poly(N)·2.7459... N ), where N is the size of the tessellation. We conjecture that the bound is tight within a poly(N) term. © 2014 Springer International Publishing.

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Yang, Y., Zhou, S., & Guan, J. (2014). Calculating the crossing probability on the square tessellation of a connection game with random move order: The algorithm and its complexity. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8497 LNCS, pp. 288–297). Springer Verlag. https://doi.org/10.1007/978-3-319-08016-1_26

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