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Natasha Morrison (University of Cambridge)
Thursday 30 November 2017, 14:30-15:30
Maximising the number of induced cycles
- 👤 Speaker: Natasha Morrison (University of Cambridge)
- 📅 Date & Time: Thursday 30 November 2017, 14:30 - 15:30
- 📍 Venue: MR12
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Andrew Thomason
Abstract
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.
Series This talk is part of the Combinatorics Seminar series.
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