F. Odeh, I. Tadjbakhsh
Archive for Rational Mechanics and Analysis
We prove that random d-regular Cayley graphs of the symmetric group asymptotically almost surely have girth at least (logd-1 |G|)1/2/2 and that random d-regular Cayley graphs of simple algebraic groups over Fq asymptotically almost surely have girth at least logd-1 |G|/ dim(G). For the symmetric p-groups the girth is between log log|G|and (log|G|)α with α < 1. Several conjectures and open questions are presented. © 2009 Wiley Periodicals, Inc.
F. Odeh, I. Tadjbakhsh
Archive for Rational Mechanics and Analysis
Heng Cao, Haifeng Xi, et al.
WSC 2003
Andrew Skumanich
SPIE Optics Quebec 1993
M.B. Small, R.M. Potemski
Proceedings of SPIE 1989