On Frieze's χ(3) limit for lengths of minimal spanning trees

  title={On Frieze's χ(3) limit for lengths of minimal spanning trees},
  author={J. Michael Steele},
  journal={Discrete Applied Mathematics},
The length of the minimal spanning tree on the complete graph on n vertices with edge weights determined by independent non-negative random variables with distribution F is proved to converge in probabili ty to ((3)/F'(0), provided only that F have a non-zero derivative at the origin. In particular, no other smoothness or moment conditions are placed on F. This augments the result of Frieze for random variables with finite variances and differentiable distribution. 

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-8 of 8 references

Frieze , On thevalue of a minimal spanning tree problem

  • M. A.
  • Discrete Appl . Math .
  • 1985

On the value of a minimal spanning tree problem

  • A. M. Frieze
  • Technical Report, Queen Mary College,
  • 1982

Sch6nhage, The expected linearity of a simple equivalence algorithm

  • A.D.E. Knuth
  • Theoret. Comput. Sc
  • 1978

Erd 6 s and A . R 6 nyi , Evolution of random graphs , MTA Mat

  • P.
  • Selected Papers of Alfr 6 d R 6 nyi 2 ( Akad 6…
  • 1960

R6nyi, Evolution of random graphs, MTA Mat

  • A. P. Erd6s
  • Kut. Int. K6zl
  • 1960

Similar Papers

Loading similar papers…