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Some applications of graph theory to number theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 110)

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References

  1. R.C. Bose and S. Chowla, Theorems in the additive theory of numbers, Comm. Math. Helv. 37 (1962–63), 141–147.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. W.G. Brown, On graphs that do not contain a Thomsen graph, Canad. Math. Bull. 9 (1966), 281–285.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. P. Erdös, On sequences of integers no one of which divides the product of two others, Izr. Inst. Math. and Mech. Univ. Tomsk 2 (1938), 74–82.

    Google Scholar 

  4. P. Erdös, On some applications of graph theory to number theoretic problems, Publ. Ramanujan Inst. (to appear).

    Google Scholar 

  5. P. Erdös, A. Rényi, and V.T. Sós, On a problem of graph theory, Studia Sci. Math. Hung. 1 (1966), 215–235.

    MathSciNet  MATH  Google Scholar 

  6. P. Erdös, Extremal problems in number theory II, Mat. Lapok. 17 (1966), 135–155.

    MathSciNet  MATH  Google Scholar 

  7. P. Erdös and P. Turán, On a problem of Lidon in additive number theory and on related problems, J. London Math. Soc. 16 (1941), 212–216.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. P. Erdös, Problems and results in additive number theory, Coll. Théorie des Nombres, Brussels (1955), pp. 127–137.

    Google Scholar 

  9. P. Erdös, On the multiplicative representation of integers, Israel J. Math. 2 (1964), 251–261

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. P. Erdös, On extremal problems of graphs and generalized graphs, Israel J. Math. 2 (1964), 183–190.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. P. Erdös and R. Rado, Intersection theorems for systems of sets, J. London Math. Soc. 35 (1960), 85–90.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. P. Erdös, On a problem in elementary number theory and a combinatorial problem, Math. of Computation 18 (1964), 644–646.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. T. Kövári, V.T. Sós, and P. Turán, On a problem of K. Zarankiewicz, Colloq. Math. 3 (1955), 50–57.

    MathSciNet  MATH  Google Scholar 

  14. A. Stöhr, Gelöste und ungelöste Fragen über Basen der natürlichen Zahlenreihe I. 194 (1955), 40–65; II 194 (1955), 111–140.

    Google Scholar 

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© 1969 Springer-Verlag

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Erdös, P. (1969). Some applications of graph theory to number theory. In: Chartrand, G., Kapoor, S.F. (eds) The Many Facets of Graph Theory. Lecture Notes in Mathematics, vol 110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060107

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  • DOI: https://doi.org/10.1007/BFb0060107

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  • Print ISBN: 978-3-540-04629-5

  • Online ISBN: 978-3-540-36161-9

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