References

TOTAL NUMBER OF JUMP-POINTS OF ORDERED PURE P-EXTENSIONS


[1] E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways for Your Mathematical Plays, A. K. Peters, Wellesley, MA, 2004.

[2] J. H. Conway, On Numbers and Games, CRC Press, 2000.

[3] E. Duchêne, A. S. Fraenkel, R. J. Nowakowski and M. Rigo, Extensions and restrictions of Wythoff’s game preserving its P-positions, J. Combin. Theory Ser. A 117 (2010), 545-567.

[4] A. S. Fraenkel, Scenic trails ascending from sea-level Nim to alpine chess, in: R. J. Nowakowski (Ed.), Games of No Chance, Proc. MSRI Workshop on Combinatorial Games, July, 1994, Berkely, CA, MSRI Publ., Vol. 29, Cambridge University Press, Cambridge, (1996), 13-42.

[5] A. S. Fraenkel, Heap games, numeration systems and sequences, Ann. Comb. 2 (1998), 197-210.

[6] A. S. Fraenkel and M. Ozery, Adjoining to Wythoff’s game its P-positions as moves, Theoret. Comput. Sci. 205 (1998), 283-296.

[7] A. S. Fraenkel, Wythoff games, continued fractions, cedar trees and Fibonacci searches, Theoret. Comput. Sci. 29(1-2) (1984), 49-73.

[8] A. S. Fraenkel and M. Lorberbom, Nimhoff games, J. Combin. Theory Ser. A 58 (1991), 1-25.

[9] A. S. Fraenkel and Y. Tanny, A class of Wythoff-like games, Proc. INTEGERS Conference, Carrollton, Georgia, Oct. 26-29, 2011, in: INTEGERS, Electr. J. Combinat. Number Theory 12(B) (2013),

[10] W. A. Liu, Y. Wang and N. Li, The game under misère play convention, Fifth International Joint Conference on Computational Sciences and Optimization, Harbin, China (2012), 419-422.

[11] W. A. Liu and X. Zhao, Adjoning to game its P-positions as moves, Discret. Appl. Math. 179 (2014), 28-43.

[12] W. Wythoff, A modification of the game of Nim, Nieuw Arch. Wiskd. 7 (1907), 199-202.