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» A Lower Bound for the Shortest Path Problem
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101
Voted
STOC
2010
ACM
244views Algorithms» more  STOC 2010»
15 years 9 months ago
Improving Exhaustive Search Implies Superpolynomial Lower Bounds
The P vs NP problem arose from the question of whether exhaustive search is necessary for problems with short verifiable solutions. We do not know if even a slight algorithmic imp...
Ryan Williams
IPPS
2007
IEEE
15 years 6 months ago
A Combinatorial Analysis of Distance Reliability in Star Network
This paper addresses a constrained two-terminal reliability measure referred to as Distance Reliability (DR) between the source node u and the destination node I with the shortest...
Xiaolong Wu, Shahram Latifi, Yingtao Jiang
98
Voted
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
16 years 8 days 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
86
Voted
MST
2010
106views more  MST 2010»
14 years 10 months ago
Constrained-Path Labellings on Graphs of Bounded Clique-Width
Given a graph G we consider the problem of preprocessing it so that given two vertices x,y and a set X of vertices, we can efficiently report the shortest path (or just its length...
Bruno Courcelle, Andrew Twigg
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
15 years 1 months ago
Maximum Flows on Disjoint Paths
We consider the question: What is the maximum flow achievable in a network if the flow must be decomposable into a collection of edgedisjoint paths? Equivalently, we wish to find a...
Guyslain Naves, Nicolas Sonnerat, Adrian Vetta