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» All-Pairs Bottleneck Paths in Vertex Weighted Graphs
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STOC
2007
ACM
164views Algorithms» more  STOC 2007»
15 years 10 months ago
All-pairs bottleneck paths for general graphs in truly sub-cubic time
In the all-pairs bottleneck paths (APBP) problem (a.k.a. allpairs maximum capacity paths), one is given a directed graph with real non-negative capacities on its edges and is aske...
Virginia Vassilevska, Ryan Williams, Raphael Yuste...
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
15 years 10 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
DM
2007
135views more  DM 2007»
14 years 9 months ago
Heavy fans, cycles and paths in weighted graphs of large connectivity
A set of paths joining a vertex y and a vertex set L is called (y, L)-fan if any two of the paths have only y in common, and its width is the number of paths forming it. In weight...
Jun Fujisawa
CCCG
2008
14 years 11 months ago
Computing the Stretch Factor of Paths, Trees, and Cycles in Weighted Fixed Orientation Metrics
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...
Christian Wulff-Nilsen
NETWORKS
2007
14 years 9 months ago
Vertex disjoint routings of cycles over tori
We study the problem of designing a survivable WDM network based on covering the communication requests with subnetworks that are protected independently from each other. We consi...
Jean-Claude Bermond, Min-Li Yu