Generalized pairing strategies-a bridge from pairing strategies to colorings

[1] L. V. Allis, H. J. van den Herik and M. P. Huntjens, Go-Moku solved by new search techniques. Proc. 1993 AAAI Fall Symp. on Games: Planning and Learning, AAAI Press Tech. Report FS93-02, 1-9, Menlo Park.Search in Google Scholar

[2] J. Beck, Positional games and the second moment method. Combinatorica, 22 (2002), 169–216.Search in Google Scholar

[3] J. Beck, Positional Games, Combinatorics, Probability and Computing, 14 (2005), 649–696.10.1017/S0963548305007078Search in Google Scholar

[4] J. Beck, Combinatorial Games, Tic-Tac-Toe Theory, Cambridge University Press 2008.10.1017/CBO9780511735202Search in Google Scholar

[5] E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways for your mathematical plays, Volume 2, Academic Press, New York 1982.Search in Google Scholar

[6] V. Chvátal and P. Erdős, Biased positional games, Annals of Discrete Math., 2 (1978), 221–228.10.1016/S0167-5060(08)70335-2Search in Google Scholar

[7] A. Csernenszky, The Chooser-Picker 7-in-a-row game. Publicationes Mathematicae, 76 (2010), 431–440.Search in Google Scholar

[8] A. Csernenszky, The Picker-Chooser diameter game. Theoretical Computer Science, 411 (2010), 3757–3762.10.1016/j.tcs.2010.06.028Search in Google Scholar

[9] A. Csernenszky, R. Martin and A. Pluhár, On the Complexity of Chooser-Picker Positional Games, Integers, 12 (2012), 427–444.10.1515/integ.2011.113Search in Google Scholar

[10] A. Dumitrescu and R. Radoičič, On a coloring problem for the integer grid, Towards a Theory of Geometric Graphs, (2004), 67–74.10.1090/conm/342/06131Search in Google Scholar

[11] R. K. Guy and J. L. Selfridge, Problem S.10, Amer. Math. Monthly86 (1979); solution T.G.L. Zetters 87 (1980), 575–576.Search in Google Scholar

[12] A. W. Hales and R. I. Jewett, Regularity and positional games, Trans. Amer. Math. Soc., 106 (1963), 222–229; M.R. # 1265.Search in Google Scholar

[13] D. Hefetz, M. Mikalački and M. Stojakovič, Doubly biased Maker-Breaker Connectivity game. Electronic J. Combinatorics, 19 (2012), P61.10.37236/2129Search in Google Scholar

[14] M. Krivelevich, The critical bias for the Hamiltonicity game is (1 + o(1))n/lnn, Journal of the American Math. Soc., 24 (2011), 125–131.10.1090/S0894-0347-2010-00678-9Search in Google Scholar

[15] A. Pluhár, The accelerated k-in-a-row game. Theoretical Comp. Science, 270 (2002), 865–875.10.1016/S0304-3975(01)00115-3Search in Google Scholar