Raymond Guo

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math.CO2023

A decomposition theorem for balanced measures

Gregory Baimetov, Ryan Bushling, Ansel Goh +3

Let $G = (V, E)$ be a connected graph. A probability measure $μ$ on $V$ is called "balanced" if it has the following property: if $T_{μ} (v)$ denotes the "earth mover's" cost of transp…

math.CO2023

On the image of graph distance matrices

William Dudarov, Noah Feinberg, Raymond Guo +5

Let $G = (V, E)$ be a finite, simple, connected, combinatorial graph on $n$ vertices and let $D \in R^{n \times n}$ be its graph distance matrix $D_{ij} = d (v_{i}, v_{j})$ . Stein…