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arXiv · 1809.06392

A Rainbow Dirac's Theorem

Matthew Coulson·Guillem Perarnau
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Abstract

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 $μ>0$.

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Matthew Coulson, Guillem Perarnau. 2018-09-17. A Rainbow Dirac's Theorem. https://arxiv.org/abs/1809.06392

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