We consider the problem of efficiently finding an additive C-spanner of an undirected unweighted graph G, that is, a subgraph H so that for all pairs of vertices u, v, δH (u, v) ...
A spanner of an undirected unweighted graph is a subgraph that approximates the distance metric of the original graph with some specified accuracy. Specifically, we say H ⊆ G i...
In this paper we investigate the relations between spanners, weak spanners, and power spanners in RD for any dimension D and apply our results to topology control in wireless netw...
Christian Schindelhauer, Klaus Volbert, Martin Zie...
In this paper, we propose a new distributed algorithm that constructs a sparse spanner subgraph of the unit disk graph efficiently for wireless ad hoc networks. It maintains a li...
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...