Publication View

Diameter of Random Cayley Graph of Z_q (2006)

Abstract
Consider the Cayley graph of the cyclic group of prime order q with k uniformly chosen generators. For k fixed, we prove that the diameter of said graph is asymptotically (in q) of order q^(1/k).. Comment: 8 pages

Publication details
Download http://arxiv.org/abs/math/0609620
Repository arXiv (United States)
Keywords Mathematics - Probability, Mathematics - Combinatorics, Mathematics - Metric Geometry, 60C05
Type text