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AVL tree

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The AVL tree, named after its inventors Georgy Adelson-Velsky and Evgenii Landis, is a type of self-balancing binary search tree. The tree re-organises itself after every insert and delete so that the tree height is approximately \log n nodes high, allowing search in O(\log n) time. The re-organising does not guarantee a perfectly balanced tree, it is however good enough to guarantee O(\log n) search.

Textbooks

Here are two CS textbooks I personally recommend; the Algorithm Design Manual (Steven S. Skiena) is a fantastic introduction to data structures and algorithms without getting to deep into the maths side of things, and Introduction to Algorithms (CLRS) which provides a much deeper, math heavy look.

 

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