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Hard to Solve Instances of the Euclidean Traveling Salesman Problem
Hard to Solve Instances of the Euclidean Traveling Salesman Problem
May 24, 2024
Hougardy, Stefan, 2024, "Hard to Solve Instances of the Euclidean Traveling Salesman Problem", https://doi.org/10.60507/FK2/ESZ1QZ, bonndata, V1
In our paper Hard to Solve Instances of the Euclidean Traveling Salesman Problem (Mathematical Programming Computation (2021) 13:51-74) we construct a family of Euclidean instances for the Traveling Salesman Problem for which the integrality ratio of the subtour LP converges to 4...
Triangular Grid Instances for the Euclidean Steiner Tree Problem
Triangular Grid Instances for the Euclidean Steiner Tree Problem
May 24, 2024
Hougardy, Stefan, 2024, "Triangular Grid Instances for the Euclidean Steiner Tree Problem", https://doi.org/10.60507/FK2/XLGFI4, bonndata, V1
This data set contains triangular nxk arrays with 2<=n, k<=10 using the TSPLIB-format. The instances where generated as part of the master's thesis of Daphne Rohrssen written 2022 under the supervision of Stefan Hougardy at the University of Bonn. Some of these instances are very...
An Implementation of Nonlinear Discrete Shell Energies
An Implementation of Nonlinear Discrete Shell Energies
Dec 13, 2023
Heeren, Behrend; Sassen, Josua, 2023, "An Implementation of Nonlinear Discrete Shell Energies", https://doi.org/10.60507/FK2/YMRPMF, bonndata, V1
This C++ package provides a easy way to use nonlinear discrete shell deformation energies for triangle meshes described by Eigen matrices as used, for example, by libigl. Furthermore, it provides convenient interfaces for MATLAB (gptoolbox) and Python (libigl).
Replication Data for: Improved guarantees for the a priori TSP
Sep 20, 2023
Blauth, Jannis; Neuwohner, Meike; Puhlmann, Luise; Vygen, Jens, 2023, "Replication Data for: Improved guarantees for the a priori TSP", https://doi.org/10.60507/FK2/JCUIRI, bonndata, V1
Dual linear programming solutions and Python scripts that verify their feasibility. The dual linear programs for which feasible solutions are provided can be found in the provided README files. The linear programming solutions yield upper bounds on the approximability of the a pr...
Implementation of An Elastic Basis for Spectral Shape Correspondence
Jun 30, 2023
Hartwig, Florine; Sassen, Josua; Azencot, Omri; Rumpf, Martin; Ben Chen, Mirela, 2023, "Implementation of An Elastic Basis for Spectral Shape Correspondence", https://doi.org/10.60507/FK2/DXOEHJ, bonndata, V1
An implementation of a spectral non-isometric correspondence method that aligns extrinsic features using a functional map approach. To this end, we propose and use a novel crease-aware spectral basis derived from the Hessian of an elastic thin shell energy.
The Freaky Torus
Jun 29, 2023
Sassen, Josua; Hildebrandt, Klaus; Rumpf, Martin; Wirth, Benedikt, 2023, "The Freaky Torus", https://doi.org/10.60507/FK2/LORXU7, bonndata, V1
This dataset contains the Python code to compute samples on our shape space Freaky Torus of deformed tori, a synthetic shape space with factors S¹×S¹×T² The first factor, an S¹, controls the deformation of the latitudinal cross-section into a rotated ellipse. The next factor, ano...
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