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Lines in the plane and decompositions of graphs

  • Martin Aigner
  • Günter M. Ziegler

Abstract

Perhaps the best-known problem on configurations of lines was raised by Sylvester in 1893 in a column of mathematical problems.

Keywords

Complete Bipartite Graph Partite Graph Real Plane Bipartite Subgraph Fano Plane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    N. G. de Bruijn & P. Erdős: On a combinatorial problem, Proc. Kon. Ned. Akad. Wetensch. 51 (1948), 1277 - 1279.MATHGoogle Scholar
  2. [2]
    H. S. M. coxeter: A problem of collinear points,Amer. Math. Monthly 55 (1948), 26-28 (contains Kelly’s proof).Google Scholar
  3. [3]
    P. Erdős:Problem 4065 — Three point collinearity,Amer. Math. Monthly 51 (1944), 169-171 (contains Gallai’s proof).Google Scholar
  4. [4]
    R. L. Graham & H. O. Pollak: On the addressing problem for loop switching, Bell System Tech. J. 50 (1971), 2495 - 2519.MathSciNetMATHGoogle Scholar
  5. [5]
    J. J. Sylvester: Mathematical Question 11851, The Educational Times 46 (1893), 156.Google Scholar
  6. [6]
    H. TVERBERG: On the decomposition of K, into complete bipartite graphs, J. Graph Theory 6 (1982), 493 - 494.MathSciNetCrossRefGoogle Scholar

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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