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A Rainbow Clique Search Algorithm for BLT-Sets

  • Abdullah Al-Azemi
  • Anton BettenEmail author
  • Sajeeb Roy Chowdhury
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10931)

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.

Keywords

Classification Rainbow clique Graph BLT-set Finite geometry 

Notes

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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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Abdullah Al-Azemi
    • 1
  • Anton Betten
    • 2
    Email author
  • Sajeeb Roy Chowdhury
    • 2
  1. 1.Kuwait UniversityKuwait CityKuwait
  2. 2.Colorado State UniversityFort CollinsUSA

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