Let G be a graph embedded in the L1-plane. The stretch factor of G is the maximum over all pairs of distinct vertices p and q of G of the ratio LG 1 (p, q)/L1(p, q), where LG 1 (p...
A tree t-spanner T in a graph G is a spanning tree of G such that the distance between every pair of vertices in T is at most t times their distance in G. The tree t-spanner proble...
For a weighted, undirected graph G = V;E where jVj = n and jEj = m, we examine the single most vital edge with respect to two measurements related to all-pairs shortest paths APSP....
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Abstract. In this paper we study the existence of a small set T of spanning trees that collectively “1-span” an interval graph G. In particular, for any pair of vertices u, v w...
Derek G. Corneil, Feodor F. Dragan, Ekkehard K&oum...