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ORL
2008
115views more  ORL 2008»
15 years 5 months ago
Maximum algebraic connectivity augmentation is NP-hard
The algebraic connectivity of a graph, which is the second-smallest eigenvalue of the Laplacian of the graph, is a measure of connectivity. We show that the problem of adding a sp...
Damon Mosk-Aoyama
ORL
2008
120views more  ORL 2008»
15 years 5 months ago
Composition of stable set polyhedra
Barahona and Mahjoub found a defining system of the stable set polytope for a graph with a cut-set of cardinality 2. We extend this result to cut-sets composed of a complete graph...
Benjamin McClosky, Illya V. Hicks
ORL
2008
82views more  ORL 2008»
15 years 5 months ago
On test sets for nonlinear integer maximization
A finite test set for an integer optimization problem enables us to verify whether a feasible point attains the global optimum. We establish in this paper several general results ...
Jon Lee, Shmuel Onn, Robert Weismantel
ORL
2008
101views more  ORL 2008»
15 years 5 months ago
Gear composition and the stable set polytope
We present a new graph composition that produces a graph G from a given graph H and a fixed graph B called gear and we study its polyhedral properties. This composition yields cou...
Anna Galluccio, Claudio Gentile, Paolo Ventura
ORL
2008
72views more  ORL 2008»
15 years 5 months ago
Stochastic 0-1 linear programming under limited distributional information
We consider the problem minX{0,1}n {c x : aj x bj , j = 1, . . . , m}, where the aj are random vectors with unknown distributions. The only information we are given regarding the ...
Michael R. Wagner