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Small minors and subdivisions

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  • UserRichard Montgomery (University of Cambridge)
  • ClockThursday 30 May 2013, 14:30-15:30
  • HouseMR12.

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There is a function c(t) such that any graph of order n with c(t)n edges has a Kt minor. Improving on work of Fiorini-Joret-Theis-Wood and of Shapira-Sudakov, we show that if the graph has (c(t)+epsilon)n edges then it has a minor of order O(log n). A similar result holds for subdivisions.

This talk is part of the Combinatorics Seminar series.

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