• DocumentCode
    889174
  • Title

    A simple proof of the unimodular property for the basic loop matrix

  • Author

    Wilkov, R.S.

  • Volume
    55
  • Issue
    4
  • fYear
    1967
  • fDate
    4/1/1967 12:00:00 AM
  • Firstpage
    564
  • Lastpage
    565
  • Abstract
    In this letter it is proven in a simple manner, without using results from electrical networks, that the basic loop matrix of a connected graph is unimodular. This result is established by using several properties of loop matrices in the theory of linear graphs and basic results from linear algebra.
  • Keywords
    Conducting materials; Dielectric constant; Leak detection; MOSFETs; Pyroelectricity; Temperature distribution; Temperature measurement; Temperature sensors; Tree graphs; Voltage;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1967.5589
  • Filename
    1447519