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DISOPT
2010
129views more  DISOPT 2010»
13 years 8 months ago
Labeled Traveling Salesman Problems: Complexity and approximation
We consider labeled Traveling Salesman Problems, defined upon a complete graph of n vertices with colored edges. The objective is to find a tour of maximum or minimum number of co...
Basile Couëtoux, Laurent Gourvès, J&ea...
IPCO
2001
166views Optimization» more  IPCO 2001»
13 years 9 months ago
Approximate k-MSTs and k-Steiner Trees via the Primal-Dual Method and Lagrangean Relaxation
Garg [10] gives two approximation algorithms for the minimum-cost tree spanning k vertices in an undirected graph. Recently Jain and Vazirani [16] discovered primal-dual approxima...
Fabián A. Chudak, Tim Roughgarden, David P....
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 5 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
JCO
2010
169views more  JCO 2010»
13 years 6 months ago
An almost four-approximation algorithm for maximum weight triangulation
We consider the following planar maximum weight triangulation (MAT) problem: given a set of n points in the plane, find a triangulation such that the total length of edges in tria...
Shiyan Hu
TALG
2010
109views more  TALG 2010»
13 years 6 months ago
Facility location with hierarchical facility costs
We introduce a facility location problem with submodular facility cost functions, and give an O(log n) approximation algorithm for it. Then we focus on a special case of submodula...
Zoya Svitkina, Éva Tardos