Internal Path Length

ExtendedBinaryTree

The sum over all internal (circular) nodes of the paths from the root of an extended binary tree to each node. For example, in the tree above, the internal path length is 11 (Knuth 1997, pp. 399-400). The internal and external path lengths are related by

where is the number of internal nodes.

See also

Extended Binary Tree, External Path Length

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References

Knuth, D. E. The Art of Computer Programming, Vol. 1: Fundamental Algorithms, 3rd ed. Reading, MA: Addison-Wesley, 1997.

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Internal Path Length

Cite this as:

Weisstein, Eric W. "Internal Path Length." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InternalPathLength.html

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