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ALGORITHMICA
1998
94views more  ALGORITHMICA 1998»
13 years 4 months ago
A Fully Dynamic Approximation Scheme for Shortest Paths in Planar Graphs
In this paper we give a fully dynamic approximation scheme for maintaining all-pairs shortest paths in planar networks. Given an error parameter ε such that 0 < ε, our algorit...
Philip N. Klein, Sairam Subramanian
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
13 years 6 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
DISOPT
2010
132views more  DISOPT 2010»
13 years 5 months ago
General approximation schemes for min-max (regret) versions of some (pseudo-)polynomial problems
While the complexity of min-max and min-max regret versions of most classical combinatorial optimization problems has been thoroughly investigated, there are very few studies abou...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...
ESA
2005
Springer
135views Algorithms» more  ESA 2005»
13 years 10 months ago
Approximation Complexity of min-max (Regret) Versions of Shortest Path, Spanning Tree, and Knapsack
This paper investigates, for the first time in the literature, the approximation of min-max (regret) versions of classical problems like shortest path, minimum spanning tree, and ...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...
EOR
2007
117views more  EOR 2007»
13 years 4 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...