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Electrical Networks

  • Béla Bollobás
Part of the Graduate Texts in Mathematics book series (GTM, volume 63)

Abstract

This chapter is something of a diversion from the main line of the book, so some readers may wish to skip it. Only the concepts introduced in the first half of §3 will be used later, in §2 of Chapter VIII.

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Notes

  1. The first squared square was published by R. Sprague, Beispiel einer Zerlegung des Quadrats in lauter verschiedene Quadrate, J. Reine Angew. Math. 182 (1940) 60–64MathSciNetCrossRefGoogle Scholar
  2. closely followed by R. L. Brooks, C. A. B. Smith, A. H. Stone and W. T. Tutte, The dissection of rectangles into squares, Duke Math. J. 7 (1940) 312–340.MathSciNetCrossRefGoogle Scholar
  3. The square shown in Fig. 8 was published in A. J. W. Duijvestijn, Simple perfect square of lowest order, J. Combinational Theory Ser. B 25 (1978) 240–243.MathSciNetMATHCrossRefGoogle Scholar
  4. The original proof of Theorem 4 is due to Max Dehn, Über die Zerlegung von Rechtecken in Rechtecke, Math. Ann. 57 (1903) 314–322.MathSciNetMATHCrossRefGoogle Scholar
  5. Two survey articles the reader may wish to look at are W. T. Tutte, The quest of the perfect square, Amer. Math. Monthly 72 (1965), 29–35MathSciNetMATHCrossRefGoogle Scholar
  6. N. D. Kazarinoff and R. Weitzenkamp, Squaring rectangles and squares, Amer. Math. Monthly 80 (1973) 877–888.MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Béla Bollobás
    • 1
  1. 1.Department of Pure Mathematics and Mathematical StatisticsUniversity of CambridgeCambridgeEngland

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