.png){kind=icon}
返回
The TSP phase transition
.png){kind=icon}
PRE
AI
DOI：10.1016/S0004-3702(96)00030-6.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The traveling salesman problem is one of the most famous combinatorial problems, We identify a natural parameter for the two-dimensional Euclidean traveling salesman problem. We show that for random problems there is a rapid transition between soluble and insoluble instances of the decision problem at a critical value of this parameter. Hard instances of the traveling salesman problem are associated with this transition. Similar results are seen both with randomly generated problems and benchmark problems using geographical data. Surprisingly, finite-size scaling methods developed in statistical mechanics describe the behaviour around the critical value in random problems, Such phase transition phenomena appear to be ubiquitous. Indeed, we have yet to find an NP-complete problem which lacks a similar phase transition.
Keyword:
NP-complete problems
complexity
traveling salesman problem
search phase transitions
finite-size scaling
easy and hard instances
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
13.9
论文数:
6.1K
被引数:
1.9W
机构
暂无机构信息
引用论文
Injury-Dependent and Disability-Specific Lumbar Spinal Gene Regulation following Sciatic Nerve Injury in the Rat大鼠坐骨神经损伤后损伤依赖性和残疾特异性腰椎基因调控.png)
PLOS ONE
OAAI
PLOS ONEIF0
OAAI分享收藏分享收藏Infant diet, gender and the normative development of vagal tone and heart period during the first two years of life婴儿饮食、性别以及前两年生命中迷走神经紧张度和心率的规范发展
PREAI
分享收藏分享收藏分享收藏 没有更多内容
没有更多内容