Implementation of a distance matrix of a binary tree that is given in the adjacency-list representation

Posted by Denise Giubilei on Stack Overflow See other posts from Stack Overflow or by Denise Giubilei
Published on 2012-09-02T15:37:21Z Indexed on 2012/09/02 15:37 UTC
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Filed under:

matrix

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binary-tree

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complexity

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distance

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adjacency-list

Given this problem I need an O(n²) implementation of this algorithm:

"Let v be an arbitrary leaf in a binary tree T, and w be the only vertex connected to v. If we remove v, we are left with a smaller tree T'. The distance between v and any vertex u in T' is 1 plus the distance between w and u."

This is a problem and solution of a Manber's exercise (Exercise 5.12 from U. Manber, Algorithms: A Creative Approach, Addison-Wesley (1989).).

The thing is that I can't deal properly with the adjacency-list representation so that the implementation of this algorithm results in a real O(n²) complexity.

Any ideas of how the implementation should be?

Thanks.

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