Given a graph G and a spanning tree T of G, we say that T is a tree t-spanner of G if the distance between every pair of vertices in T is at most t times their distance in G. The p...
We propose a new routing graph, the Restricted Delaunay Graph (RDG), for ad hoc networks. Combined with a node clustering algorithm, RDG can be used as an underlying graph for geo...
Jie Gao, Leonidas J. Guibas, John Hershberger, Li ...
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...
A spanning subgraph G of a graph H is a k-detour subgraph of H if for each pair of vertices x, y V (H), the distance, distG(x, y), between x and y in G exceeds that in H by at mo...
Nana Arizumi, Peter Hamburger, Alexandr V. Kostoch...
We consider self-stabilizing and self-organizing distributed construction of a spanner that forms an expander. The following results are presented. • A randomized technique to r...