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Turán Numbers for Disjoint Copies of Graphs

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Abstract

The Turán number \({ex(n,\mathcal H)}\) of \({\mathcal H}\) is the maximum number of edges of an n-vertex simple graph having no member of \({\mathcal H}\) as a subgraph. We show lower and upper bounds for Turán numbers for disjoint copies of graphs.

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References

  1. Bollobás B.: Extremal graph theory. Dover Publications, Mineola (2004)

    MATH  Google Scholar 

  2. Bollobás B.: Modern graph theory. Springer-Verlag, New York (2002)

    Google Scholar 

  3. Diestel R.: Graph theory. Springer-Verlag, New York (1997)

    MATH  Google Scholar 

  4. Erdős P., Gallai T.: On maximal paths and circuits in graphs . Acta Math. Acad. Sci. Hung. 10, 337–356 (1959)

    Article  Google Scholar 

  5. Füredi Z., Naor A., Verstraëte J.: On the Turán number for the hexagon.. Adv. Math. 203, 476–496 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hajnal, A., Szemerédi, E.: Proof of a conjecture of Erdős. In: Erdős, P., Renyi, A., Sós, V.: (eds) Combinatorial Theory an its Applications, vol. II. Colloq. Math. Soc. J. Bolyai 4, North-Holland, pp. 1163–1164 (1970)

  7. Ore O.: Arc coverings of graphs. Ann. Math. Pure Appl. 55, 315–321 (1961)

    Article  MathSciNet  MATH  Google Scholar 

  8. Simonovits M.: A method for solving extremal problems in extremal graph theory. In: Erdős, P., Katona, G. (eds) Theory of Graphs, pp. 279–319. Academic Press, New York (1968)

    Google Scholar 

  9. Shen J.: On two Turán numbers. J. Graph Theory 51, 244–250 (2006)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Izolda Gorgol.

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Gorgol, I. Turán Numbers for Disjoint Copies of Graphs. Graphs and Combinatorics 27, 661–667 (2011). https://doi.org/10.1007/s00373-010-0999-5

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  • DOI: https://doi.org/10.1007/s00373-010-0999-5

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