The -Version of Binary Search Trees: An Average Case Analysis
Helmut Prodinger
Abstract
Open-access reader
Helmut Prodinger
Abstract
Open-access reader
Following a suggestion of Cichoń and Macyna, binary search trees are generalized by keeping (classical) binary search trees and distributing incoming data at random to the individual trees. Costs for unsuccessful and successful search are analyzed, as well as the internal path length.
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Following a suggestion of Cichoń and Macyna, binary search trees are generalized by keeping (classical) binary search trees and distributing incoming data at random to the individual trees. Costs for unsuccessful and successful search are analyzed, as well as the internal path length.
Key concepts: Binary search tree, Ternary search tree, Random binary tree, Weight-balanced tree, Optimal binary search tree, Binary number, Self-balancing binary search tree, Binary tree