Title
Minimum weight Euclidean t-spanner is NP-hard
Abstract
Given a set P of points in the plane, an Euclidean t-spanner for P is a geometric graph that preserves the Euclidean distances between every pair of points in P up to a constant factor t. The weight of a geometric graph refers to the total length of its edges. In this paper we show that the problem of deciding whether there exists an Euclidean t-spanner, for a given set of points in the plane, of weight at most w is NP-hard for every real constant t1, both whether planarity of the t-spanner is required or not.
Year
DOI
Venue
2013
10.1016/j.jda.2013.06.010
Journal of Discrete Algorithms
Keywords
DocType
Volume
constant factor,total length,euclidean distance,euclidean t-spanner,real constant t1,geometric graph,set p,minimum weight euclidean t-spanner,computational geometry
Journal
22,
ISSN
Citations 
PageRank 
1570-8667
0
0.34
References 
Authors
9
2
Name
Order
Citations
PageRank
Paz Carmi132143.14
Lilach Chaitman-Yerushalmi2164.72