Abstrakt: |
This paper presents a principle to create Almost Optimal Dynamical 2-3 trees based on the theory of Miller et al., and gives a searching algorithm, an insertion algorithm and a deletion algorithm for these 2-3 trees. Experimental result given in this paper indicates that these 2-3 trees have very good performance at node-visit cost. We discuss asymptotic property of the 2-3 trees as N→∞, and evaluate its approximate height, h=log( N+1), where N is the number of nodes of a 2-3 tree. Finally, this paper analyses the time complexities of the algorithms, which are O(log( N+1)). [ABSTRACT FROM AUTHOR] |