Minimum Spanning Tree of Line Segments

被引：1

作者：

Dey, Sanjana ^{[1
]}

Jallu, Ramesh K. ^{[1
]}

Nandy, Subhas C. ^{[1
]}

机构：

[1] Indian Stat Inst, Kolkata 700108, India

来源：

COMPUTING AND COMBINATORICS (COCOON 2018) | 2018年 / 10976卷

关键词：

Minimum spanning tree; k-MST; Approximation algorithm; NP-complete; GRAPHS; SET; MST;

D O I：

10.1007/978-3-319-94776-1_44

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this article, we study a variant of the geometric minimum spanning tree (MST) problem. Given a set S of n disjoint line segments in IR2, we need to find a tree spanning one endpoint from each of the segments in S. Note that, we have 2(n) possible choices of such a set of endpoints, each being referred as an instance. Thus, our objective is to choose one among those instances such that the sum of the lengths of all the edges of the tree spanning the points of that instance is minimum. We show that finding such a spanning tree is NP-complete in general, and propose a O(log(2) n)-factor approximation algorithm for the same.

引用

页码：529 / 541

页数：13

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