Mixing and Merging Metric Spaces using Directed Graphs

Mahir Bilen Can, Shantanu Chakrabartty

Let $(X_1,d_1),\dots ,(X_N,d_N)$ be metric spaces with $d_i:X_i\times X_i\to [0,1]$ and let $X={\prod }_{i=1}^N{X}_i$. Let $G$ be a directed graph with vertex set $[N]=\{1,\dots ,N\}$ and…