Add to ORKGWe review how to solve the all-pairs shortest-path problem in a non-negatively weighted digraph with $n$ vertices in expected time $O(n^2 \log n)$. This bound is shown to hold with high probability for a wide class of probability distributions on non-negatively weighted digraphs. We also prove that for a large class of probability distributions, $\Omega(n\log n)$ time is necessary with high probability to compute shortest-path distances with respect to a single source
Let G = (V,E) be an unweighted undirected graph on |V | = n vertices and |E | = m edges. Let δ(u, ...
We consider the problem of computing all-pairs shortest paths in a directed graph with non-negative ...
We study novel combinatorial properties of graphs that allow us to devise a completely new approach ...
We review how to solve the all-pairs shortest-path problem in a non-negatively weighted digraph with...
Abstract We present an all-pairs shortest path algorithm whose running time on a complete directed g...
AbstractWe consider the problem of finding the shortest distance between all pairs of vertices in a ...
We present two new and efficient algorithms for computing all-pairs shortest paths. The algorithms o...
We study the average-case complexity of shortest-paths problems in the vertex-potential model. The ...
AbstractWe present an algorithm, APD, that solves the distance version of the all-pairs-shortest-pat...
Let $G=(V,E)$ be an unweighted undirected graph on $n$ vertices. Let $\delta(u,v)$ denote the distan...
We study the average-case complexity of shortest-paths problems in the vertex-potential model. The v...
Abstract. The essential subgraph H of a weighted graph or digraph G contains an edge (v, w) if that ...
Considering directed graphs on n vertices and m edges with real (possibly negative) weights, we pres...
Given a simple connected unweighted undirected graph G = (V (G), E(G)) with |V (G)| = n and |E(G)| =...
Let G=(V,E) be an unweighted undirected graph on |V|=n vertices and |E|=m edges. Let δ(u,v) den...
Let G = (V,E) be an unweighted undirected graph on |V | = n vertices and |E | = m edges. Let δ(u, ...
We consider the problem of computing all-pairs shortest paths in a directed graph with non-negative ...
We study novel combinatorial properties of graphs that allow us to devise a completely new approach ...
We review how to solve the all-pairs shortest-path problem in a non-negatively weighted digraph with...
Abstract We present an all-pairs shortest path algorithm whose running time on a complete directed g...
AbstractWe consider the problem of finding the shortest distance between all pairs of vertices in a ...
We present two new and efficient algorithms for computing all-pairs shortest paths. The algorithms o...
We study the average-case complexity of shortest-paths problems in the vertex-potential model. The ...
AbstractWe present an algorithm, APD, that solves the distance version of the all-pairs-shortest-pat...
Let $G=(V,E)$ be an unweighted undirected graph on $n$ vertices. Let $\delta(u,v)$ denote the distan...
We study the average-case complexity of shortest-paths problems in the vertex-potential model. The v...
Abstract. The essential subgraph H of a weighted graph or digraph G contains an edge (v, w) if that ...
Considering directed graphs on n vertices and m edges with real (possibly negative) weights, we pres...
Given a simple connected unweighted undirected graph G = (V (G), E(G)) with |V (G)| = n and |E(G)| =...
Let G=(V,E) be an unweighted undirected graph on |V|=n vertices and |E|=m edges. Let δ(u,v) den...
Let G = (V,E) be an unweighted undirected graph on |V | = n vertices and |E | = m edges. Let δ(u, ...
We consider the problem of computing all-pairs shortest paths in a directed graph with non-negative ...
We study novel combinatorial properties of graphs that allow us to devise a completely new approach ...