External Path Length -- from Wolfram MathWorld

The sum over all external (square) nodes of the lengths of the paths from the root of an extended binary tree to each node. For example, in the tree above, the external path length is 25 (Knuth 1997, pp. 399-400). The internal and external path lengths are related by E=I+2n, where n is the number of internal nodes.

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Path -- from Wolfram MathWorld

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Weighted Path length