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frb59-26-5     (BHOSLIB)

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This network is in the collection of BHOSLIB





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Metadata

CategoryDense Networks
CollectionBHOSLIB
Tags
FormatUndirected
Edge weightsUnweighted
DescriptionBenchmark 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:

@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}
}

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.

@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

Nodes1.5K
Edges1M
Density0.892855
Maximum degree1.5K
Minimum degree1.3K
Average degree1.4K
Assortativity-0.0225315
Number of triangles1.3B
Average number of triangles835.5K
Maximum number of triangles937.9K
Average clustering coefficient0.892206
Fraction of closed triangles0.892178
Maximum k-core1.3K
Lower bound of Maximum Clique45

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