We present an optimal-time algorithm for computing (an implicit representation of) the shortest-path map from a fixed source s on the surface of a convex polytope P in three dime...
The quick construction of the Shortest Path Tree (SPT) is essential to achieve fast routing speed for an interior network using link state protocols, such as OSPF and IS-IS. Whene...
Bin Xiao, Qingfeng Zhuge, Zili Shao, Edwin Hsing-M...
We present improved algorithms for maintaining transitive closure and all-pairs shortest paths/distances in a digraph under deletion of edges. For the problem of transitive closur...
We consider the problem of preprocessing an n-vertex digraph with real edge weights so that subsequent queries for the shortest path or distance between any two vertices can be ef...
Abstract. We consider the problem of finding shortest paths in a graph with independent randomly distributed edge lengths. Our goal is to maximize the probability that the path len...
Evdokia Nikolova, Jonathan A. Kelner, Matthew Bran...