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» On the Crossing Spanning Tree Problem
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GD
2007
Springer
14 years 3 months ago
Line Crossing Minimization on Metro Maps
We consider the problem of drawing a set of simple paths along the edges of an embedded underlying graph G = (V, E), so that the total number of crossings among pairs of paths is m...
Michael A. Bekos, Michael Kaufmann, Katerina Potik...
CATS
2007
13 years 10 months ago
Some Structural and Geometric Properties of Two-Connected Steiner Networks
We consider the problem of constructing a shortest Euclidean 2-connected Steiner network (SMN) for a set of terminals. This problem has natural applications in the design of survi...
K. Hvam, L. Reinhardt, Pawel Winter, Martin Zachar...
SWAT
2004
Springer
109views Algorithms» more  SWAT 2004»
14 years 2 months ago
Robust Subgraphs for Trees and Paths
Consider a graph problem which is associated with a parameter, for example, that of finding a longest tour spanning k vertices. The following question is natural: Is there a smal...
Refael Hassin, Danny Segev
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 3 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
ESA
2009
Springer
109views Algorithms» more  ESA 2009»
14 years 3 months ago
Iterative Rounding for Multi-Objective Optimization Problems
In this paper we show that iterative rounding is a powerful and flexible tool in the design of approximation algorithms for multiobjective optimization problems. We illustrate tha...
Fabrizio Grandoni, R. Ravi, Mohit Singh