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Maximising the number of induced cycles

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  • UserNatasha Morrison (University of Cambridge)
  • ClockThursday 30 November 2017, 14:30-15:30
  • HouseMR12.

If you have a question about this talk, please contact Andrew Thomason.

How many induced cycles can a graph on n vertices contain? For sufficiently large n, we determine the maximum number of induced cycles and the maximum number of even or odd induced cycles. We also characterize the graphs achieving this bound in each case. This answers a question of Tuza, and a conjecture of Chvátal and Tuza from 1988. Joint work with Alex Scott.

This talk is part of the Combinatorics Seminar series.

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