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The Game of Col on Complete K-ary Trees
Abstract:Col is a classic combinatorial game played on graphs and to solve a general instance is a PSPACE-complete problem. However, winning strategies can be found for some specific graph instances. In this paper, the solution of Col on complete k-ary trees is presented.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057889Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 905
 E. R. Berlekamp, J. H. Conway, R. K. Guy, Winning Ways For Your Mathematical Plays, 2nd ed. Natick, Massachusetts: A K Peters, 2001, vol. 1, ch. 2, pp. 37-39.
 J. H. Conway, On Numbers and Games, 2nd ed. Natick, Massachusetts: A K Peters, 2001, ch. 8, pp. 91-95.
 T. J. Schaefer, "On the complexity of some two-person perfect information games," J. Comput. Systems Sci., vol. 16, pp. 185-225, 1978.