Long monochromatic even cycles in 3-edge-coloured graphs of large minimum degree

Tomasz Łuczak, Zahra Rahimi

We show that for every $\eta >0$, there exists $n_0$ such that for every even $n$, $n\ge n_0$, and every graph $G$ with $(2+\eta )n$ vertices and minimum degree at least $(7/4+4\eta )n$, each…