frb59-26-5 (BHOSLIB)
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This network is in the collection of BHOSLIB
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Metadata
| Category | Dense Networks |
| Collection | BHOSLIB |
| Tags | |
| Format | Undirected |
| Edge weights | Unweighted |
| Description | Benchmark graphs for testing several NP-hard graph algorithms including but not limited to the maximum clique problem, maximum independent set, minimum vertex cover and vertex coloring. |
Please cite the following if you use the data:
Note that if you transform/preprocess the data, please consider sharing the data by uploading it along with the details on the transformation and reference to any published materials using it.
@inproceedings{nr,
title={The Network Data Repository with Interactive Graph Analytics and Visualization},
author={Ryan A. Rossi and Nesreen K. Ahmed},
booktitle={AAAI},
url={https://networkrepository.com},
year={2015}
}
@misc{BHOSLIB,
author={BHOSLIB},
title={Benchmarks with hidden optimum solutions for graph problems},
year={2004}
}
@inproceedings{cai2012two,
title={Two new local search strategies for minimum vertex cover},
author={Cai, Shaowei and Su, Kaile and Sattar, Abdul},
booktitle={Twenty-Sixth AAAI Conference on Artificial Intelligence},
year={2012}
}
@article{rossi2014coloring,
title={Coloring Large Complex Networks},
author={Ryan A. Rossi and Nesreen K. Ahmed},
booktitle={Social Network Analysis and Mining},
pages={1--51},
year={2014}
}
Network Statistics
| Nodes | 1.5K |
| Edges | 1M |
| Density | 0.892855 |
| Maximum degree | 1.5K |
| Minimum degree | 1.3K |
| Average degree | 1.4K |
| Assortativity | -0.0225315 |
| Number of triangles | 1.3B |
| Average number of triangles | 835.5K |
| Maximum number of triangles | 937.9K |
| Average clustering coefficient | 0.892206 |
| Fraction of closed triangles | 0.892178 |
| Maximum k-core | 1.3K |
| Lower bound of Maximum Clique | 45 |
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