Cops and Robbers is EXPTIME-complete

被引:33
|
作者
Kinnersley, William B. [1 ]
机构
[1] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA
关键词
Cops and robbers; EXPTIME-complete; Vertex-pursuit games; Moving target search; GRAPH; PURSUIT; GAMES;
D O I
10.1016/j.jctb.2014.11.002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate the computational complexity of deciding whether k cops can capture a robber on a graph G. Goldstein and Reingold (1995) [8] conjectured that the problem is EXPTIME-complete when both G and k are part of the input; we prove this conjecture. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:201 / 220
页数:20
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