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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Grosu, Codruţ 2018. A note on projective norm graphs. International Journal of Number Theory, Vol. 14, Issue. 01, p. 55.

    Cilleruelo, Javier and Tesoro, Rafael 2017. On sets free of sumsets with summands of prescribed size. Combinatorica,

    Ball, Simeon and Pepe, Valentina 2016. Forbidden subgraphs in the norm graph. Discrete Mathematics, Vol. 339, Issue. 4, p. 1206.

    Blagojević, Pavle V. M. Bukh, Boris and Karasev, Roman 2013. Turán numbers for K s,t -free graphs: Topological obstructions and algebraic constructions. Israel Journal of Mathematics, Vol. 197, Issue. 1, p. 199.

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Asymptotic Improvements to the Lower Bound of Certain Bipartite Turán Numbers

  • SIMEON BALL (a1) and VALENTINA PEPE (a2)
Abstract

We show that there are graphs with n vertices containing no K5,5 which have about n7/4 edges, thus proving that ex(n, K5,5) ≥ (1 + o(1))n7/4. This bound gives an asymptotic improvement to the known lower bounds on ex(n, Kt, s) for t = 5 when 5 ≤ s ≤ 12, and t = 6 when 6 ≤ s ≤ 8.

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COPYRIGHT: © Cambridge University Press 2011
References
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Combinatorics, Probability and Computing
  • ISSN: 0963-5483
  • EISSN: 1469-2163
  • URL: /core/journals/combinatorics-probability-and-computing
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