Date of Original Version
© by International Press of Boston
Abstract or Description
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).
Journal of Combinitorics, 1, 4, 477-488.