Colloquium Announcement
Department of Mathematics
West Virginia University
for
April 27, Tuesday, at 3:30pm
in 315 Armstrong Hall
(Tea and cookies begin at 3:00 in coffee room.)
Professor Antony Hilton
Reading University, Great Britain
Some problems about r-factorisations of complete graphs
The talk will be suitable for a general audience.
Students are strongly encouraged to participate.
Abstract
It is well known that the complete graph with rn+1 vertices
can be expressed as the union of n r-regular graphs each of order rn+1.
But what can you say about these r-regular graphs? Can you specify their
connectivity? Can they all lie in an arbitrary number, say s, of
isomophism classes. Can they even be chosen completely arbitrarily? We
discuss these problems, and give some answers. But there remain very many
problems.
The information on the future (and past) Colloquia can be also found on web at the
address:
http://www.math.wvu.edu/homepages/kcies/colloquium.html