An improved circuit-partitioning algorithm based on min-cut equivalence relation

  • Authors:
  • Xianyang Jiang;Xubang Shen;Tianxu Zhang;Huayu Liu

  • Affiliations:
  • State Key Laboratory for Image Processing and Intelligent Control, Institute for Pattern Recognition and AI, Huazhong University of Science and Technology, Wuhan, Hubei 430074, People's Republic o ...;State Key Laboratory for Image Processing and Intelligent Control, Institute for Pattern Recognition and AI, Huazhong University of Science and Technology and Academician of CAS, Wuhan, Hubei 4300 ...;State Key Laboratory for Image Processing and Intelligent Control, Institute for Pattern Recognition and AI, Huazhong University of Science and Technology and professor, Wuhan, Hubei 430074, Peopl ...;Xi'an Microelectronics Institute, No. 16, South Taibai Road, Xi'an Shaanxi 710065, People's Republic of China

  • Venue:
  • Integration, the VLSI Journal
  • Year:
  • 2003

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Abstract

Network flow is an excellent approach to finding min-cuts in network because of the celebrated max-flow/min-cut theorem. For a long time, however, it has not been a practical circuit partitioning method for its relatively high computational complexity. Algorithm FBB is the first one to apply network flow to solve two-way balanced circuit partitioning successfully. Later, its improved version DMC efficiently solved the problem of multi-way circuit partitioning. In this paper, an improved circuit-partitioning algorithm MCER is presented. MCER is based on a min-cut equivalence relation. The algorithm not only inherits to take advantage of flow theory, but also incorporates a subsets movement-based method to utilize internal equivalent topological structure of circuit. Based on the equivalence relation and subsets movement between initial min-cuts, MCER will find more min-cuts. A series of experiments demonstrate that searching space of MCER is bigger than that of former algorithms and MCER outperforms FBB or DMC in terms of the size of min-cuts. Furthermore, MCER will degrade to DMC or FBB under special conditions.