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CATS
2007
13 years 7 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...
IPCO
2010
153views Optimization» more  IPCO 2010»
13 years 3 months ago
An Effective Branch-and-Bound Algorithm for Convex Quadratic Integer Programming
We present a branch-and-bound algorithm for minimizing a convex quadratic objective function over integer variables subject to convex constraints. In a given node of the enumerati...
Christoph Buchheim, Alberto Caprara, Andrea Lodi
CPAIOR
2007
Springer
13 years 12 months ago
The Linear Programming Polytope of Binary Constraint Problems with Bounded Tree-Width
We show how to efficiently model binary constraint problems (BCP) as integer programs. After considering tree-structured BCPs first, we show that a Sherali-Adams-like procedure r...
Meinolf Sellmann, Luc Mercier, Daniel H. Leventhal
CORR
2010
Springer
198views Education» more  CORR 2010»
13 years 2 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...
OL
2011
177views Neural Networks» more  OL 2011»
12 years 8 months ago
Exploiting vector space properties to strengthen the relaxation of bilinear programs arising in the global optimization of proce
In this paper we present a methodology for finding tight convex relaxations for a special set of quadratic constraints given by bilinear and linear terms that frequently arise in ...
Juan P. Ruiz, Ignacio E. Grossmann