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» Spanning Trees and Shortest Paths in Monge Graphs
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CPC
2006
69views more  CPC 2006»
13 years 7 months ago
Size and Weight of Shortest Path Trees with Exponential Link Weights
We derive the distribution of the number of links and the average weight for the shortest path tree (SPT) rooted at an arbitrary node to m uniformly chosen nodes in the complete g...
Remco van der Hofstad, Gerard Hooghiemstra, Piet V...
ESA
2004
Springer
95views Algorithms» more  ESA 2004»
14 years 1 months ago
On Dynamic Shortest Paths Problems
We obtain the following results related to dynamic versions of the shortest-paths problem: (i) Reductions that show that the incremental and decremental singlesource shortest-paths...
Liam Roditty, Uri Zwick
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 1 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
EOR
2007
117views more  EOR 2007»
13 years 7 months ago
Approximation of min-max and min-max regret versions of some combinatorial optimization problems
This paper investigates, for the first time in the literature, the approximation of minmax (regret) versions of classical problems like shortest path, minimum spanning tree, and ...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...
PAMI
2010
188views more  PAMI 2010»
13 years 2 months ago
Watershed Cuts: Thinnings, Shortest Path Forests, and Topological Watersheds
We recently introduced the watershed cuts, a notion of watershed in edge-weighted graphs. In this paper, our main contribution is a thinning paradigm from which we derive three alg...
Jean Cousty, Gilles Bertrand, Laurent Najman, Mich...