The computational complexity of distance functions of two-dimensional domains

被引：6

作者：

Chou, AW

Ko, KI ^{[1
]}

机构：

[1] SUNY Stony Brook, Dept Comp Sci, Stony Brook, NY 11794 USA

[2] Clark Univ, Dept Math & Comp Sci, Worcester, MA 01610 USA

来源：

THEORETICAL COMPUTER SCIENCE | 2005年 / 337卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

computational complexity; polynomial-time computability; two-dimensional domain; distance function; NP;

D O I：

10.1016/j.tcs.2004.11.016

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We study the computational complexity of the distance function associated with a polynomial-time computable two-dimensional domains, in the context of the Turing machine-based complexity theory of real functions. It is proved that the distance function is not necessarily computable even if a two-dimensional domain is polynomial-time recognizable. On the other hand, if both the domain and its complement are strongly polynomial-time recognizable, then the distance function is polynomial-time computable if and only if P = NP. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：360 / 369

页数：10

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