Welcome to my St Andrews homepage. This page is under construction (and probably always will be!)
I am a halftime Professor in the School of Mathematics and Statistics at the University of St Andrews, and an Emeritus Professor of Mathematics at Queen Mary, University of London.
Events
About me
On this site

Elsewhere

School of Mathematics and Statistics
University of St Andrews North Haugh St Andrews, Fife KY16 9SS SCOTLAND 
Tel.: +44 (0)1334 463769 Fax: +44 (0)1334 46 3748 Email: pjc20(at)starthurs(dot)ac(dot)uk [oops – wrong saint!] 
Page revised 17 January 2016 
Given a tree T on vertex set {1,…,n}, the edges form a set of n−1 transpositions whose product (in any order) is an ncycle. If T is a star, then the (n−1)! orderings of the edges give rise to the (n−1)! cycles, each exactly once; but for any other shape of tree, we do not have a bijection. e.g. for the path on 4 vertices, of the six 4cycles we obtain two twice, two once, and two not at all.
Problem: What is the distribution of frequencies of occurrence of cycles arising from orders of a given tree T?
Old problems are kept here.