Abstract
We discuss an algorithm to search for rainbow cliques in vertex-colored graphs. This algorithm is a generalization of the Bron-Kerbosch algorithm to search for maximal cliques in graphs. As an application, we describe a larger algorithm to classify a certain type of geometric-combinatorial objects called BLT-sets. We report on the classification of BLT-sets of order 71.
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Acknowledgements
The authors acknowledge generous access to the HPC resource Summit [1], which was essential to perform the computations necessary for this work.
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Al-Azemi, A., Betten, A., Chowdhury, S.R. (2018). A Rainbow Clique Search Algorithm for BLT-Sets. In: Davenport, J., Kauers, M., Labahn, G., Urban, J. (eds) Mathematical Software – ICMS 2018. ICMS 2018. Lecture Notes in Computer Science(), vol 10931. Springer, Cham. https://doi.org/10.1007/978-3-319-96418-8_9
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DOI: https://doi.org/10.1007/978-3-319-96418-8_9
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