Published July 4, 2023
| Version v1
Dataset
Open
Marble graphs with various rigidity properties
- 1. University of Bristol
- 2. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences
- 3. Aalto University
- 4. Departments of Mathematics and Computer Science, KU Leuven
- 5. Lancaster University
Contributors
Data manager:
Description
This dataset contains examples of graphs comparing rigidity concepts for generic bar-joint frameworks and for marble graphs. A marble graph is the contact graph of a collection of unit spheres in dimension three with non-overlapping interiors.
For each graph there is a Graph6 file format and a list of edges in Mathematica notation. We also provide the coordinates that give the unit-distances (also in Mathematica format). The names of the files indicate the rigidity properties of the given graph.
Notes
G.G. was partially supported by the Austrian Science Fund (FWF): P31888.
K.K. was partially supported by the Academy of Finland grant number 323416.
F.M. was partially supported by the FWO grants G0F5921N and G023721N, the KU Leuven iBOF/23/064 grant, and the UiT Aurora MASCOT project.
A.N. was partially supported by EPSRC grant number EP/W019698/1.
Files
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Additional details
Funding
- The graph rigidity problem in arbitrary dimension EP/W019698/1
- UK Research and Innovation
- Algebraic geometry of hidden variable models in statistics 323416
- Academy of Finland
- Realizations of Rigid Graphs P 31888
- FWF Austrian Science Fund