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WADS
2007
Springer
145views Algorithms» more  WADS 2007»
13 years 10 months ago
Approximate Shortest Paths Guided by a Small Index
Distance oracles and graph spanners are excerpts of a graph that allow to compute approximate shortest paths. Here, we consider the situation where it is possible to access the ori...
Jörg Derungs, Riko Jacob, Peter Widmayer
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
13 years 10 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis
APPROX
2009
Springer
125views Algorithms» more  APPROX 2009»
13 years 11 months ago
Minimizing Average Shortest Path Distances via Shortcut Edge Addition
We consider adding k shortcut edges (i.e. edges of small fixed length δ ≥ 0) to a graph so as to minimize the weighted average shortest path distance over all pairs of vertices...
Adam Meyerson, Brian Tagiku
SIAMCOMP
2010
133views more  SIAMCOMP 2010»
13 years 2 months ago
Faster Algorithms for All-pairs Approximate Shortest Paths in Undirected Graphs
Let G = (V, E) be a weighted undirected graph having non-negative edge weights. An estimate ˆδ(u, v) of the actual distance δ(u, v) between u, v ∈ V is said to be of stretch t...
Surender Baswana, Telikepalli Kavitha
CORR
2010
Springer
142views Education» more  CORR 2010»
13 years 3 months ago
HyperANF: Approximating the Neighbourhood Function of Very Large Graphs on a Budget
The neighbourhood function NG(t) of a graph G gives, for each t ∈ N, the number of pairs of nodes x, y such that y is reachable from x in less that t hops. The neighbourhood fun...
Paolo Boldi, Marco Rosa, Sebastiano Vigna