Applications of Path Compression on Balanced Trees

210Citations
Citations of this article
31Readers
Mendeley users who have this article in their library.

Abstract

Several fast algorithms are presented for computing functions defined on paths in trees under various assumpuons. The algorithms are based on tree mampulatton methods first used to efficiently represent equivalence relations. The algorithms have [formula omitted] running tunes, where m and n are measures of the problem size and a Is a functional reverse of Ackermann's function By usmg one or more of these algorithms m combination with other techniques, it is possible to solve the followmg graph problems m O(ma(m, n)) tnne, where m Is the number of edges and n Is the number of vertices m the problem graph A Venfymg a minimum spanning tree m an undirected graph (Best previously known time bound O(m log log n).) B Flndmg dominators in a flow graph (Best previously known tune bound O(n log n + m).) C Solvmg a path problem on a reducible flow graph. (Best previously known time bound. O(m log n) ) Application A is discussed. © 1979, ACM. All rights reserved.

Cite

CITATION STYLE

APA

Tarjan, R. E. (1979). Applications of Path Compression on Balanced Trees. Journal of the ACM (JACM), 26(4), 690–715. https://doi.org/10.1145/322154.322161

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free