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» Shortest Paths in Distance-regular Graphs
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STOC
2009
ACM
155views Algorithms» more  STOC 2009»
14 years 8 months ago
A nearly optimal oracle for avoiding failed vertices and edges
We present an improved oracle for the distance sensitivity problem. The goal is to preprocess a directed graph G = (V, E) with non-negative edge weights to answer queries of the f...
Aaron Bernstein, David R. Karger
WADS
2007
Springer
104views Algorithms» more  WADS 2007»
14 years 1 months ago
Faster Approximation of Distances in Graphs
Let G = (V, E) be an weighted undirected graph on n vertices and m edges, and let dG be its shortest path metric. We present two simple deterministic algorithms for approximating ...
Piotr Berman, Shiva Prasad Kasiviswanathan
COMPGEOM
2010
ACM
14 years 17 days ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...
FSTTCS
2010
Springer
13 years 4 months ago
Finding Sparser Directed Spanners
A spanner of a graph is a sparse subgraph that approximately preserves distances in the original graph. More precisely, a subgraph H = (V, EH ) is a k-spanner of a graph G = (V, E...
Piotr Berman, Sofya Raskhodnikova, Ge Ruan
COLING
2008
13 years 9 months ago
Exploiting Graph Structure for Accelerating the Calculation of Shortest Paths in Wordnets
This paper presents an approach for substantially reducing the time needed to calculate the shortest paths between all concepts in a wordnet. The algorithm exploits the unique &qu...
Holger Wunsch