Dawson’s chess revisited
Keivan Borna () and
N. A. Ashrafi Payaman ()
Additional contact information
Keivan Borna: Kharazmi University
N. A. Ashrafi Payaman: Kharazmi University
Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 6, 771-794
Abstract:
Abstract In this paper we prove that in a Quasi-Dawson’s Chess (a restricted version of Dawson’s Chess) playing on a 3 × d board, the first player is loser if and only if d (mod)5 = 1 or d (mod)5 = 2. Furthermore, we have designed two algorithms that are responsible for storing the results of Quasi-Dawson’s Chess games having less than d + 1 files and finding the strategy that leads to win, if there is a possibility of winning (by a wining position, we mean one from which one can win with best play). Moreover we show that the total complexity of our algorithms is O(d 2). Finally we have implemented our algorithm in C++ which admits the main results of the paper even for large values of d.
Keywords: Combinatorial game; Dawson’s chess; impartial game; winning strategy (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations:
Downloads: (external link)
http://link.springer.com/10.1007/s13226-013-0042-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:44:y:2013:i:6:d:10.1007_s13226-013-0042-7
Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226
DOI: 10.1007/s13226-013-0042-7
Access Statistics for this article
Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke
More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().