Let G = (V, E) be any undirected graph on V vertices and E edges. A path P between any two vertices u, v V is said to be t-approximate shortest path if its length is at most t tim...
A highway H is a line in the plane on which one can travel at a greater speed than in the remaining plane. One can choose to enter and exit H at any point. The highway time distanc...
—In this paper, we will study a special Connected Dominating Set (CDS) problem — between any two nodes in a network, there exists at least one shortest path, all of whose inter...
Abstract. Current applications for wayfinding and navigation assistance usually calculate the route to a destination based on the shortest or fastest path from the origin. However...
Seq7 is a newprogramfor generating multiple structure-based alignments of RNAsequences. Byusing a variant of Dijkstra’s algorithm to find the shortest path through a specially c...
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
We give complete characterizations of the classes of graphs with uniform cost links which admit optimum all shortest paths 1 ? SLIRS (Strict Linear Interval Routing Schemes) and 1...
Michele Flammini, Giorgio Gambosi, Umberto Nanni, ...
Suppose one has a line arrangement and one wants to find a shortest path from one point lying on a line of the arrangement to another such point. We look at a special case: the a...
The problem of finding a shortest path is common to many different fields including transportation systems, mechanical systems and computer communications. Most telecommunication ...
In this paper we introduce and study Shortest Path Discovery (SPD) problems, a generalization of shortest path problems: In SPD one is given a directed edgeweighted graph and the ...