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Products of graphs and their applications

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Book cover Graph Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1018))

Abstract

Products are conveniently used in many combinatorial applications. In various situations they present a suitable construction means. In this paper we survey some of those applications which are related (in a broad sense) to the partition (Ramsey) theory.

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References

  1. S. Burr, P. Erdös and L. Lovász, On Ramsey minimal graphs, Ars Combinatoria 1 (1976), 167–190.

    MathSciNet  MATH  Google Scholar 

  2. V. Chvátal, Hypergraphs and Ramseyaian theorems, Proc. Amer. Math. Soc. 27 (1971), 434–440.

    Article  MathSciNet  MATH  Google Scholar 

  3. P. Erdös and J. Spencer, Probabilistic Methods in Combinatorics, Academic Press (1974).

    Google Scholar 

  4. R. Graham, B. Rothschild and J. Spencer, Ramsey Theory, John Wiley and Sons (1980).

    Google Scholar 

  5. L. Lovász, J. Nešetřil and A. Pultr, On a product dimension of a graph, J. Comb. Th. B, 29 (1980), 47–67.

    Article  MATH  Google Scholar 

  6. J. Nešetřil and A. Pultr, On classes of relations and graphs determined by subobjects and factorobjects, Discrete Math., 22 (1978), 287–300.

    Article  MathSciNet  MATH  Google Scholar 

  7. J. Mešetřil and V. Rödl, A simple proof of the Galvin-Ramsey property of graphs and a dimension of a graph, Discrete Math., 23 (1978), 49–55.

    Article  MathSciNet  Google Scholar 

  8. J. Nešetřil and V. Rödl, Partitions of vertices, Comment. Math. Univ. Carolinae, 17 (1976), 675–682.

    MathSciNet  MATH  Google Scholar 

  9. S. Poljak and V. Rödl, On arc-chromatic number of graphs, J. Comb. Th., B, (to appear).

    Google Scholar 

  10. S. Poljak and A. Pultr, Representing graphs by means of strong and weak products, Comment. Math. Univ. Carol., (to appear).

    Google Scholar 

  11. A. Pultr and J. Vinárek, Productive classes and subdirect irreducibility, in particular for graphs, Discrete Math., 20 (1977), 159–176.

    Article  MathSciNet  MATH  Google Scholar 

  12. N. Wheeler, On universal horn theories, J. Symb. Logic, 43 (1978).

    Google Scholar 

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M. Borowiecki John W. Kennedy Maciej M. Sysło

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© 1983 Springer-Verlag

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Nešetřil, J., Rödl, V. (1983). Products of graphs and their applications. In: Borowiecki, M., Kennedy, J.W., Sysło, M.M. (eds) Graph Theory. Lecture Notes in Mathematics, vol 1018. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071625

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  • DOI: https://doi.org/10.1007/BFb0071625

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12687-4

  • Online ISBN: 978-3-540-38679-7

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