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Hypergraph Planarization

  • V. Feinberg
  • A. Levin
  • E. Rabinovich
Part of the Mathematics and Its Applications book series (MAIA, volume 399)

Abstract

A.A. Zykov was the first person to extend the notion of planarity to hyper-graphs [92]. According to [92] a hypergraph is called planar if it has a planar Konig representation. In general, such a definition of a planar hypergraph is not adequate for the planarity of an electrical circuit. In fact, in the layout of a planar circuit the nets correspond to trees which cannot be replaced by star-type subgraphs without creating nonplanarity in all cases. The limitation of using the Zykov hypergraph planarity definition to investigate circuit planarity was shown in [6, 22, 78]. These researches suggested different mathematical models for circuits and introduced corresponding definitions of circuit model planarity which are more suitable for solving the circuit planarization problem. The necessity of solving circuit planarization problems gave rise to a new definition of a planar hypergraph [83] based on the realization concept.

Keywords

Exhaustive Search Line Graph Hamiltonian Path Complete Bipartite Graph Nonempty Intersection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • V. Feinberg
    • 1
  • A. Levin
    • 2
  • E. Rabinovich
    • 3
  1. 1.SILVACO InternationalSanta ClaraUSA
  2. 2.Intel CorporationSanta ClaraUSA
  3. 3.GorizontMinskBelarus

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