17.6 Summary

  • BSTs have best-case height Θ(logN)\Theta(\log N), and worst-case height Θ(N)\Theta(N).

  • Big O is not the same as worst-case!

  • B-Trees are a modification of the BST that maintain Θ(logN)\Theta(\log N) runtime for add and contains in the worst case. They maintain perfect balance during insertion.

  • A B-Tree has a limit LL on the number of values a node can hold, instead of having one item per node like a BST.

  • Upon add in a B-Tree, we simply append the value to an existing leaf node in the correct location instead of creating a new leaf node. If the node is too full, it splits and pushes a value up.

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