Examining Computational Geometry, Van Emde Boas Trees, and Hashing from the Perspective of the Fusion Tree

Abstract

This article illustrates several examples of computer science problems whose performance can be improved with the use of either the fusion trees [Fredman and Willard, J. Comput. System Sci., 47 (1993), pp. 424--436; Fredman and Willard, J. Comput. System Sci., 48 (1994), pp. 533--551] or one of several recent improvements to this data structure. It is likely that many other data structures can also have their performance improved with fusion trees. The examples here are only illustrative.