MAX-CUT and MAX-BISECTION are NP-hard on unit disk graphs

被引：20

作者：

Diaz, Josep ^{[1
]}

Kaminski, Marcin

机构：

[1] Univ Politecn Catalunya, Lleguatges Sistemes Informat, ES-08034 Barcelona, Spain

[2] Rutgers State Univ, RUTCOR, Piscataway, NJ 08854 USA

来源：

THEORETICAL COMPUTER SCIENCE | 2007年 / 377卷 / 1-3期

关键词：

computational complexity; max-cut; max-bisection; NP-hard; unit disk graphs;

D O I：

10.1016/j.tcs.2007.02.013

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We prove that the MAX-CUT and MAX-BISECTION problems are NP-hard on unit disk graphs. We also show that X-precision aphs are planar for lambda > 1/root 2- and give a dichotomy theorem for MAX-CUT computational complexity on X-precision unit disk graphs. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：271 / 276

页数：6

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