Pigeon-hole and double counting

  • Martin Aigner
  • Günter M. Ziegler


Some mathematical principles, such as the two in the title of this chapter, are so obvious that you might think they would only produce equally obvious results. To convince you that “It ain’t necessarily so” we illustrate them with examples that were suggested by Paul Erdós to be included in The Book. We will encounter instances of them also in later chapters.


Double Counting Common Neighbor Dual Graph Barycentric Subdivision Ramsey Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Martin Aigner
    • 1
  • Günter M. Ziegler
    • 2
  1. 1.Institut für Mathematik II (WE2)Freie Universität BerlinBerlinGermany
  2. 2.Fachbereich Mathematik, MA 7-1Technische Universität BerlinBerlinGermany

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