An Exact Branch and Bound Algorithm with Symmetry Breaking for the Maximum Balanced Induced Biclique Problem [chapter]

Ciaran McCreesh, Patrick Prosser
2014 Lecture Notes in Computer Science  
We show how techniques from state-of-the-art branch and bound algorithms for the maximum clique problem can be adapted to solve the maximum balanced induced biclique problem. We introduce a simple and effective symmetry breaking technique. Finally, we discuss one particular class of graphs where the algorithm's bound is ineffective, and show how to detect this situation and fall back to a simpler but faster algorithm. Computational results on a series of standard benchmark problems are included.
doi:10.1007/978-3-319-07046-9_16 fatcat:ospxjhttr5gxtkgw7oy3iyhddi