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ESA
2005
Springer
135views Algorithms» more  ESA 2005»
14 years 1 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...
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 6 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
IJCM
2002
92views more  IJCM 2002»
13 years 7 months ago
Random-tree Diameter and the Diameter-constrained MST
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to...
Ayman Abdalla, Narsingh Deo
ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
13 years 7 months ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
14 years 1 months ago
The Polymatroid Steiner Problems
The Steiner tree problem asks for a minimum cost tree spanning a given set of terminals S ⊆ V in a weighted graph G = (V, E, c), c : E → R+ . In this paper we consider a genera...
Gruia Calinescu, Alexander Zelikovsky