A minimum spanning tree algorithm with inverse-Ackermann type complexity

Author:

Chazelle Bernard1

Affiliation:

1. Princeton Univ., Princeton, NJ

Abstract

A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is 0 ( m α( m, n )), where α is the classical functional inverse of Ackermann's function and n (respectively, m ) is the number of vertices (respectively, edges). The algorithm is comparison-based : it uses pointers, not arrays, and it makes no numeric assumptions on the edge costs.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference18 articles.

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