Treaps - Power and Simplicity of Randomisation

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• Kuba Bachurski, Trinity College
• Wednesday 09 March 2022, 19:30-20:00
• Wolfson Hall, Churchill College.

If you have a question about this talk, please contact Matthew Ireland.

Every computer scientist is familiar with binary search trees. They are widely applicable structures, and there are countless ways of making them efficient. We do this by making them balanced – for example, red-black trees enforce strict rules and fix them with tree rotations based on case analysis. Treaps are a BST too, but they take a different approach, which we’ll interpret geometrically, leaving us with a couple of simple cases. What’s interesting is that treaps use randomness to balance the tree. Equipped with them we’ll be able to design a data structure for performing efficient string operations, used in text editors or for solving dynamic connectivity problems.

This talk is part of the Churchill CompSci Talks series.

This talk is included in these lists:

• Churchill CompSci Talks
• Wolfson Hall, Churchill College
• computer science
• se393's list

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