• DocumentCode
    952297
  • Title

    On the planarity of hypergraphs

  • Author

    van Cleemput, W.M.

  • Author_Institution
    Stanford University, Stanford, CA
  • Volume
    66
  • Issue
    4
  • fYear
    1978
  • fDate
    4/1/1978 12:00:00 AM
  • Firstpage
    514
  • Lastpage
    515
  • Abstract
    Two definitions for the planarity of a hypergraph will be given. These definitions are related to the problem of modelling circurs for circuit layout. It is shown that if a hypergraph is planar according to the first definition, then it is planar according to the second definition, but the reverse does not hold. Testing the planarity can be done in linear time by using the first definition, but requires an enumeration using the second definition. The more accurate model for the circuit layout problem uses the second definition.
  • Keywords
    Bipartite graph; Circuit testing; Digital systems; Electronic circuits; Polynomials; Semiconductor device modeling; Tree graphs;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1978.10945
  • Filename
    1455214