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APPROX
2010
Springer
135views Algorithms» more  APPROX 2010»
13 years 7 months ago
Monotonicity Testing and Shortest-Path Routing on the Cube
We study the problem of monotonicity testing over the hypercube. As previously observed in several works, a positive answer to a natural question about routing properties of the hy...
Jop Briët, Sourav Chakraborty, David Garc&iac...
ESA
2000
Springer
112views Algorithms» more  ESA 2000»
13 years 11 months ago
Resource Constrained Shortest Paths
The resource constrained shortest path problem (CSP) asks for the computation of a least cost path obeying a set of resource constraints. The problem is NP-complete. We give theore...
Kurt Mehlhorn, Mark Ziegelmann
APPROX
2009
Springer
125views Algorithms» more  APPROX 2009»
14 years 2 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
JUCS
2010
118views more  JUCS 2010»
13 years 6 months ago
Reachability in Restricted Walk on Integers
: We prove that two conditions are sufficient, and with three exceptions also necessary, for reachability of any position in restricted walk on integers in which the sizes of the m...
Philip Ginzboorg, Valtteri Niemi
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
14 years 2 days ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002