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rainbow trees

arxiv.org · 156 words · saved by 1 readers

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Rainbow Erdős-Sós Conjectures An edge colored graph is said to contain rainbow-$F$ if $F$ is a subgraph and every edge receives a different color. In 2007, Keevash, Mubayi, Sudakov, and Verstraëte introduced the \emph{rainbow extremal number} $\mathrm{ex}^*(n,F)$, a variant on the classical Turán problem, asking for the maximum number of edges in a $n$-vertex properly edge-colored graph which does not contain a rainbow-$F$. In the following years many authors have studied the asymptotic behavior of $\mathrm{ex}^*(n,F)$ when $F$ is bipartite. In the particular case that $F$ is a tree $T$, the

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