file.pdf (132.66 kB)
0/0

A note on the random greedy triangle-packing algorithm

Download (132.66 kB)
journal contribution
posted on 01.01.2010 by Tom Bohman, Alan Frieze, Eyal Lubetzky

The random greedy algorithm for constructing partial Steiner-Triple-System is defined as follows.We begin with a complete graph on n vertices and proceed to remove the edges of triangles one at a time, where each triangle removed is chosen uniformly at random from the collection of all remaining triangles.This stochastic process terminates once it arrives at a triangle-free graph.In this note we show that with high probability the number of edges in the final graph is at most n7/4+o(1).

History

Publisher Statement

© by International Press of Boston

Date

01/01/2010

Exports

Exports