Results for the n-queens problem on the Mobius board

被引：0
|
作者：
Bell, Jordan [1 ]
Stevens, Brett [1 ]
机构：
[1] Carleton Univ, Sch Math & Stat, 1125 Colonel Dr, Ottawa, ON K1S 5B6, Canada
来源：
AUSTRALASIAN JOURNAL OF COMBINATORICS | 2008年 / 42卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the extension of the n-queens problem to the Mobius strip; that is, the problem of placing a maximum number of nonattacking queens on the m x n chessboard for which the left and right edges are twisted connected. We prove the existence of solutions for the m x n Mobius board for classes of m and n with density 25/48 in the set of all m x n Mobius boards, and show the impossibility of solutions for a set of m and n with density 1/16. We also have computed the total number of solutions for the m x m Mobius board for m from 1 to 16.
引用
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页码：21 / 34
页数：14
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