UNIT DISK GRAPHS

被引：871
|
作者：
CLARK, BN [1 ]
COLBOURN, CJ [1 ]
JOHNSON, DS [1 ]
机构：
[1] AT&T BELL LABS, MURRAY HILL, NJ 07974 USA
来源：
DISCRETE MATHEMATICS | 1990年 / 86卷 / 1-3期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1016/0012-365X(90)90358-O
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Unit disk graphs are the intersection graphs of equal sized circles in the plane: they provide a graph-theoretic model for broadcast networks (cellular networks) and for some problems in computational geometry. We show that many standard graph theoretic problems remain NP-complete on unit disk graphs, including coloring, independent set, domination, independent domination, and connected domination; NP-completeness for the domination problem is shown to hold even for grid graphs, a subclass of unit disk graphs. In contrast, we give a polynomial time algorithm for finding cliques when the geometric representation (circles in the plane) is provided.
引用
收藏
页码：165 / 177
页数：13
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