Mathematical programs whose formulation is symmetric often take a long time to solve using Branch-and-Bound type algorithms, because of the several symmetric optima. A simple technique used in these cases is to adjoin symmetry breaking constraints to the formulation before solving the problem....

The Distance Geometry Problem in three dimensions consists in finding an embedding in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$${\mathbb{R}^3}$$</EquationSource> </InlineEquation> of a given nonnegatively weighted simple undirected graph such that edge weights are equal to the corresponding Euclidean distances in the embedding. This is a continuous search problem...</equationsource></inlineequation>

In the bottleneck hyperplane clustering problem, given n points in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\mathbb{R}^{d}$</EquationSource> </InlineEquation> and an integer k with 1≤k≤n, we wish to determine k hyperplanes and assign each point to a hyperplane so as to minimize the maximum Euclidean distance between each point and its assigned hyperplane. This...</equationsource></inlineequation>

We consider the problem of finding a fundamental cycle basis with minimum total cost in an undirected graph. This problem is NP-hard and has several interesting applications. Since fundamental cycle bases correspond to spanning trees, we propose a local search algorithm, a tabu search and...