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Tree Distance

Last updated Nov 1, 2022

# Definition

Suppose $T$ is a Tree. Then the Tree Distance between $u, v \in V$ is the Path Length of the (unique) Simple Path from $u$ to $v$. We denote it $d(u, v)$.

# Remarks

  1. Tree Distance is Shortest Path Distance on a Tree, since the Shortest Path between any two vertices is the unique Simple Path between them. Thus our above notation can be used without confusion between the two.