### Rainbow Hamilton Cycles in Dirac Graphs

Combinatorics Seminar

19th March 2019, 11:00 am – 12:00 pm

Howard House, 4th Floor Seminar Room

A famous theorem of Dirac states that any graph on n vertices with minimum degree at least n/2 has a Hamilton cycle. Such graphs are called Dirac graphs. Strengthening this result, we show the existence of rainbow Hamilton cycles in μn-bounded colourings of Dirac graphs for sufficiently small μ > 0. This is joint work with Guillem Perarnau.

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