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

Type of data

Authors

Department of Mathematics and Systems Analysis

Kaie Kubjas Orcid -palvelun logo - Creator

Austrian Academy of Sciences

Georg Grasegger - Contributor, Creator

KU Leuven

Fatemeh Mohammadi - Creator

Lancaster University

Anthony Nixon - Creator

University of Bristol

Sean Dewar - Creator

Zenodo - Publisher

Project

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Fields of science

Mathematics

Language

Open access

Open

License

Creative Commons Attribution 4.0 International (CC BY 4.0)

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