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» On the Graph Bisection Cut Polytope
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SIAMDM
2008
119views more  SIAMDM 2008»
13 years 5 months ago
On the Graph Bisection Cut Polytope
Given a graph G = (V, E) with node weights v N {0}, v V , and some number F N{0}, the convex hull of the incidence vectors of all cuts (S), S V with (S) F and (V \ S) F is ...
Michael Armbruster, Christoph Helmberg, Marzena F&...
IPCO
2008
221views Optimization» more  IPCO 2008»
13 years 6 months ago
A Comparative Study of Linear and Semidefinite Branch-and-Cut Methods for Solving the Minimum Graph Bisection Problem
Abstract. Semidefinite relaxations are known to deliver good approximations for combinatorial optimization problems like graph bisection. Using the spectral bundle method it is pos...
Michael Armbruster, Marzena Fügenschuh, Chris...
CORR
2006
Springer
134views Education» more  CORR 2006»
13 years 5 months ago
Max-Cut and Max-Bisection are NP-hard on unit disk graphs
We prove that the max-cut and max-bisection problems are NP-hard on unit disk graphs. We also show that -precision graphs are planar for > 1/ 2 and give a dichotomy theorem f...
Josep Díaz, Marcin Kaminski
DAM
2006
172views more  DAM 2006»
13 years 5 months ago
A Branch-and-Cut algorithm for graph coloring
In a previous work, we proposed a new integer programming formulation for the graph coloring problem which, to a certain extent, avoids symmetry. We studied the facet structure of...
Isabel Méndez-Díaz, Paula Zabala
MP
2010
163views more  MP 2010»
12 years 11 months ago
Speeding up IP-based algorithms for constrained quadratic 0-1 optimization
In many practical applications, the task is to optimize a non-linear objective function over the vertices of a well-studied polytope as, e.g., the matching polytope or the travelli...
Christoph Buchheim, Frauke Liers, Marcus Oswald