The Sitting Closer to Friends than Enemies Problem in Trees

Rosa Becerra, Christopher Thraves Caro

A metric space $\mathcal{T}$ is a \emph{real tree} if for any pair of points $x,y\in \mathcal{T}$ all topological embeddings $\sigma$ of the segment $[0,1]$ into $\mathcal{T}$, such t…