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A note on the information content of graphs

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Abstract

The role played by the group of a graph in determining sets of equivalent points is exposed and illustrated by a few simple examples.

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Literature

  • Burnside, William. 1911.Theory of Groups of Finite Order. 2nd edition. Reprinted 1955. New York: Dover Publications, Inc.

    MATH  Google Scholar 

  • Frucht, R. 1937. “Die Gruppe des Petersenschen Graphen und der Kantensysteme der regulären Polyeder.”Commentarii Math. Helv.,9, 217–23.

    Article  MATH  Google Scholar 

  • — 1938. Herstellung von Graphen mit vorgegebener abstrakter Gruppe.Compositio Mathematica,6, 239–50.

    MATH  Google Scholar 

  • Karreman, George. 1955. “Topological Information Content and Chemical Reactions.”Bull. Math. Biophysics,17, 279–85.

    Article  Google Scholar 

  • Hönig, Dénes. 1936.Theorie der endlichen und unendlichen Graphen. Leipzig: Akademische Verlagsgesellschaft.

    Google Scholar 

  • Pólya, G. 1937. “Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen.”Acta Mathematica,68, 145–254.

    MATH  Google Scholar 

  • Rashevsky, N. 1955. “Life, Information Theory, and Topology.”Bull. Math. Biophysics,17, 229–35.

    Article  MathSciNet  Google Scholar 

  • Shannon Claude, and Weaver, Warren. 1949.The Mathematical Theory of Communication. Urbana: The University of Illinois Press.

    Google Scholar 

  • Speiser, A. 1937.Die Theorie der Gruppen von endlicher Ordnung. Berlin: Julius Springer.

    Google Scholar 

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Authors and Affiliations

  1. Mental Health Research Institute, University of Michigan, Michigan, USA

    Ernesto Trucco

Authors
  1. Ernesto Trucco
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Trucco, E. A note on the information content of graphs. Bulletin of Mathematical Biophysics 18, 129–135 (1956). https://doi.org/10.1007/BF02477836

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  • DOI: https://doi.org/10.1007/BF02477836

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