Marble graphs with various rigidity properties

Marble graphs with various rigidity properties

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.
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Year of publication

2023

Authors

Department of Mathematics and Systems Analysis

Anthony Nixon - Creator

Fatemeh Mohammadi - Creator

Georg Grasegger - Creator, Contributor

Kaie Kubjas Orcid -palvelun logo - Creator

Sean Dewar - Creator

Austrian Academy of Sciences - Contributor

KU Leuven - Contributor

Lancaster University - Contributor

University of Bristol - Contributor

Zenodo - Publisher

Other information

Fields of science

Mathematics

Open access

Open

License

Creative Commons Attribution 4.0 International (CC BY 4.0)

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