Published September 17, 2025
| Version v1
Dataset
Open
Dataset of realisation numbers of rigid graphs in dimension 2
Authors/Creators
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1.
University of Bristol
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2.
Austrian Academy of Sciences
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3.
Johannes Kepler University of Linz
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4.
Johann Radon Institute for Computational and Applied Mathematics
Description
The files contain lists of pairs (g,c) where g is a 2-rigid graph in integer notation and c is the number of complex 2-dimensional realisations of the graph. We also provide files with the number of spherical realisations.
The integer encoding of a graph takes the upper triangular part of the adjacency matrix and reads row-wise as a binary number that is transformed into an integer. PyRigi (Python package) and RigiComp (Mathematica package) can transform this integer into a graph.
Files
RealisationCountRigidD2V5.txt
Files
(131.8 MB)
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md5:c58d136807bc10e56253fa6b7f9b8ea4
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62.7 MB | Preview Download |
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md5:be0da820718113a65eda49b564c10063
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71 Bytes | Preview Download |
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md5:1577c7ce803fea0626eba6661dcc8272
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473 Bytes | Preview Download |
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md5:67569bbe135e8bf94c8b563f46c97839
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5.0 kB | Preview Download |
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md5:92982a5e6aabc0c08a353e9d2ea4ee76
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93.8 kB | Preview Download |
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md5:558ff6593aad5d17251bd13022ffdbd5
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3.1 MB | Preview Download |
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md5:3f758c68caea534edcd4e1c6d4be52de
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62.7 MB | Preview Download |
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md5:be0da820718113a65eda49b564c10063
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71 Bytes | Preview Download |
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md5:e75696a712851e19c029cd16adfa4bd0
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473 Bytes | Preview Download |
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md5:4ebdc27a47cfbe3b8b3fac1e679116bf
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5.0 kB | Preview Download |
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md5:95f4400756d76348cf78795b75bc972d
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93.8 kB | Preview Download |
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md5:cdf84acb673b519bdd844c0575910083
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3.1 MB | Preview Download |
Additional details
Related works
- Has part
- Dataset: 10.5281/zenodo.1245517 (DOI)
- Is documented by
- Preprint: arXiv:2510.02988 (arXiv)
- Requires
- Software: 10.5281/zenodo.7457820 (DOI)
- Software: 10.5281/zenodo.15537829 (DOI)
Funding
- FWF Austrian Science Fund
- Paradoxical flexibility of frameworks I 6233
- FWF Austrian Science Fund
- The Elekes-Szabó Problem PAT 2559123
- FWF Austrian Science Fund
- Realizations of Rigid Graphs P 31888