Hughie Hamilton, Alex McDonald during Ky visit demonstration

Group of people including Hughie Hamilton, Alex McDonald and Vilma Ward during visit of former South Vietnamese vice president Nguyen Cao Ky to Brisbane, Australia in January 1967.

Maximal sets of Hamilton cycles in Kn,n

In this article, we prove that there exists a maximal set of m Hamilton cycles in K-n,K-n if and only if n/4 < m less than or equal to n/2. (C) 2000 John Wiley & Sons, Inc.

On the Hamilton-Waterloo problem

The Hamilton-Waterloo problem asks for a 2-factorisation of K-v in which r of the 2-factors consist of cycles of lengths a(1), a(2),..., a(1) and the remaining s 2-factors consist of cycles of lengths b(1), b(2),..., b(u) (where necessarily Sigma(i)(=1)(t) a(i) = Sigma(j)(=1)(u) b(j) = v). In thus paper we consider the Hamilton-Waterloo problem in the case a(i) = m, 1 less than or equal to i less than or equal to t and b(j) = n, 1 less than or equal to j less than or equal to u. We obtain some general constructions, and apply these to obtain results for (m, n) is an element of {(4, 6)1(4, 8), (4, 16), (8, 16), (3, 5), (3, 15), (5, 15)}.

The office of chiliarch under Alexander and the successors

This article examines in detail the Persian court chiliarchy under Alexander and the Successors. The office was not identical with the equestrian chiliarchy and had no fundamental administrative duties. Its significance should be sought in the broad changes in Alexander's court when he became the new king of Asia.