Abstract
In synchronized games players make their moves simultaneously rather than alternately. Synchronized Domineering is the synchronized version of Domineering, a classic two-player combinatorial game. We present the solutions for all the m ×n boards with m ≤ 6 and n ≤ 6. Also, we give results for the n ×3 boards, n ×5 boards, and some partial results for the n ×2 boards. Future research is indicated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Berlekamp, E.R.: Blockbusting and Domineering. Journal of Combinatorial Theory Series A 49(1), 67–116 (1988)
Berlekamp, E.R., Conway, J.H., Guy, R.K.: Winning Ways for your Mathematical Plays. Academic Press, San Diego (1982)
Breuker, D.M., Uiterwijk, J.W.H.M., van den Herik, H.J.: Solving 8×8 Domineering. Theoretical Computer Science 230(1-2), 195–206 (2000)
Bullock, N.: Domineering: Solving Large Combinatorial Search Spaces. ICGA Journal 25(2), 67–84 (2002)
Cincotti, A., Iida, H.: The Game of Synchronized Cutcake. In: Proceedings of the IEEE Symposium on Computational Intelligence and Games, pp. 374–379 (2007)
Cincotti, A., Iida, H.: The Game of Synchronized Maundy Cake. In: Proceedings of the 7th Annual Hawaii International Conference on Statistics, Mathematics and Related Fields, pp. 422–429 (2008)
Conway, J.H.: On Numbers and Games. Academic Press, San Diego (1976)
Gardner, M.: Mathematical games. Scientific American 230(2), 106–108 (1974)
Lachmann, M., Moore, C., Rapaport, I.: Who Wins Domineering on Rectangular Boards. In: Nowakowski, R.J. (ed.) More Games of No Chance, vol. 42, pp. 307–315. Cambridge University Press, Cambridge (2002)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cincotti, A., Iida, H. (2008). The Game of Synchronized Domineering. In: van den Herik, H.J., Xu, X., Ma, Z., Winands, M.H.M. (eds) Computers and Games. CG 2008. Lecture Notes in Computer Science, vol 5131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87608-3_22
Download citation
DOI: https://doi.org/10.1007/978-3-540-87608-3_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87607-6
Online ISBN: 978-3-540-87608-3
eBook Packages: Computer ScienceComputer Science (R0)