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SPAA
2004
ACM
14 years 23 days ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
IPCO
2008
91views Optimization» more  IPCO 2008»
13 years 8 months ago
New Geometry-Inspired Relaxations and Algorithms for the Metric Steiner Tree Problem
Abstract. Determining the integrality gap of the bidirected cut relaxation for the metric Steiner tree problem, and exploiting it algorithmically, is a long-standing open problem. ...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....
ESA
2008
Springer
108views Algorithms» more  ESA 2008»
13 years 9 months ago
Two-Stage Robust Network Design with Exponential Scenarios
Abstract. We study two-stage robust variants of combinatorial optimization problems like Steiner tree, Steiner forest, and uncapacitated facility location. The robust optimization ...
Rohit Khandekar, Guy Kortsarz, Vahab S. Mirrokni, ...
COMPGEOM
1992
ACM
13 years 11 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar
COCOON
2008
Springer
13 years 9 months ago
Approximating the Generalized Capacitated Tree-Routing Problem
In this paper, we introduce the generalized capacitated tree-routing problem (GCTR), which is described as follows. Given a connected graph G = (V, E) with a sink s V and a set M...
Ehab Morsy, Hiroshi Nagamochi