Finding bipartition respecting natural dense clusters

  • Authors:
  • Abhijit S. Deshpande;Sachin B. Patkar;H. Narayanan

  • Affiliations:
  • Department of Computer Sci. and Engg., Indian Institute of Technology, Bombay, Mumbai, India;Department of Mathematics, Indian Institute of Technology, Bombay, Mumbai, India;Department of Electrical Engg., Indian Institute of Technology, Bombay, Mumbai, India

  • Venue:
  • ICC'05 Proceedings of the 9th International Conference on Circuits
  • Year:
  • 2005

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Abstract

We present an efficient heuristic for finding good bipartitioning of the vertex set of a hypergraph, which respects the dense clusters inside. In a hypergraph modeling a VLSI netlist, these dense clusters typically correspond to dense combinational blocks and are better kept intact for some obvious VLSI design benefits. Our approach to identify the dense clusters is based on the theory of submodular functions. Once these clusters are identified, we make use of FM algorithm to get a good bipartition, providing some hints to FM to keep these clusters intact. This approach not only respects the natural clusters, but also produces bipartitions with better net-cut in quite a few cases. Hence, we propose that this approach can be used as an alternate strategy to find a good bipartition, which respects the dense clusters.