A Faster Deterministic Algorithm for Minimum Spanning Trees

  • Authors:
  • Bernard Chazelle

  • Affiliations:
  • -

  • Venue:
  • FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1997

Quantified Score

Hi-index 0.00

Visualization

Abstract

A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is O( m \alpha\log\alpha ), where \alpha= \alpha(m,n) is a functional inverse of Ackermann's function and n (resp. m) is the number of vertices (resp. edges). This improves on the previous, ten-year old bound of (roughly) O(m\log\log^*m).