On the Redfield-Read combinatory algorithm

  • I. É. Mullat


This note is devoted to a generalization of the Redfield-Read superposition theorem. Several ways of using this theorem in the generalized form are cited, after which, by way of illustration, a problem of graph enumeration is solved.


Combinatory Algorithm Graph Enumeration Superposition Theorem 
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Literature cited

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    G. Pólya, “Kombinatorische Anzahlbestimmüngen für Gruppen, Graphen und chemische Verbindungen, Acta math.,68, 145–254 (1937).Google Scholar
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    R. C. Read, “The enumeration of locally restricted graphs, I, II,” J. London Math. Soc.,34, 417–436 (1959);35, 344–451 (1960).Google Scholar
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    J. H. Redfield, “The theory of group-reduced distributions,” Amer. J. Math.,49, 433–455 (1927).Google Scholar
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    Applied Combinatorial Mathematics [in Russian], Collected Papers, É. Bekkenbakh (editor), Moscow (1968).Google Scholar
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    C. Berge, The Theory of Graphs and Its Applications [Russian translation], Moscow (1962).Google Scholar
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    M. Hall, Group Theory [Russian translation], Moscow (1962).Google Scholar
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    J. Riordan, An Introduction to Combinatorial Analysis, John Wiley and Sons, Inc., New York (1958).Google Scholar

Copyright information

© Consultants Bureau 1970

Authors and Affiliations

  • I. É. Mullat
    • 1
  1. 1.Scientific Research Institute of Applied Mathematics and CyberneticsN. I. Lobachevskii Gor'kii State UniversityUSSR

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