# Higher-Order Analysis of 2-3 Trees

@article{BaezaYates1995HigherOrderAO, title={Higher-Order Analysis of 2-3 Trees}, author={Ricardo Baeza-Yates and Patricio V. Poblete}, journal={Int. J. Found. Comput. Sci.}, year={1995}, volume={6}, pages={1-10} }

We present a fourth-order fringe analysis for the expected behavior of 2–3 trees, which includes 97% of the elements in the tree. It is accomplished by exploiting the structure of the transition matrix. Our results improve a number of bounds, in particular the bounds on the expected number of nodes and the expected space utilization. We also study 2–3 trees built by using overflow techniques.

## 6 Citations

Fringe analysis for parallel MacroSplit insertion algorithms in 2--3 trees

- Computer Science
- 1997

The fringe analysis is extended to deal with synchronous parallel insertions on 2--3 trees and two approximated analysis prove that the parallelinsertions case does not differ significantly from the sequential case, namely on the terms O(1/n^2).

Fringe Analysis of 2-3 Trees with Lazy Parent Split

- Computer ScienceComput. J.
- 2000

2‐3 trees with lps have slightly better performance, more keys in the fringe, larger storage utilization and a slightly shorter path length from the root to the leaves.

Fringe analysis of synchronized parallel insertion algorithms in 2-3 Trees

- Computer Science, MathematicsTheor. Comput. Sci.
- 2003

Self-organization and evolution on large computer data structures

- Computer Science, Physics
- 1998

This work introduced and studied experimentally three statistical magnitudes: the stress of a tree, the sequence of jump points and the distribution of subtrees inside a tree and obtained a potential law for stress distribution.

Persistently Cached B-Trees

- Computer ScienceIEEE Trans. Knowl. Data Eng.
- 2003

This paper presents an approach to enhancing B-tree indexing performance by using a replication technique called persistent caching, and evaluates the performance of persistently cached B-trees by showing the result of mathematical analysis and of experimental investigations.

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