The problem of the moody chess players

被引:1
|
作者
van de Bult, Fokko J. [2 ]
Woeginger, Gerhard J. [1 ]
机构
[1] Tech Univ Eindhoven, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands
[2] Univ Amsterdam, Korteweg de Vries Inst Math, NL-1018 TV Amsterdam, Netherlands
关键词
Algorithmic puzzle; Sorting problem; Worst case analysis; Combinatorial problems;
D O I
10.1016/j.ipl.2008.07.001
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We analyze a sorting problem where for every element there is a hard tipper bound on the overall number of lost comparisons: Given are n elements and n [ion-negative integers a(1) ..... a(n). The goal is to sort these n elements by pairwise comparisons, subject to the condition that the kth element must not be the loser (= smaller element) in more than a(k) of its comparisons against the other elements. We completely characterize the sequences a(1) .... a(n) for which this sorting problem can be solved. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:336 / 337
页数:2
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