ELA, Volume 14, p. 1, January 2005.
PREFACE
The workshop "Directions in Combinatorial Matrix Theory"
was held May 7-8, 2004 at the Banff International Research
Station (BIRS) in Banff, Alberta, Canada. Supported by
BIRS and the International Linear Algebra Society (ILAS),
the workshop provided researchers working in combinatorial
matrix theory with an opportunity to present accounts of
their current research, to identify challenges for the
discipline to undertake, and to suggest new approaches
to explore.
The workshop's organizing committee consisted of Shaun
Fallat (University of Regina), Hadi Kharaghani (University
of Lethbridge), Steve Kirkland (University of Regina),
Bryan Shader (University of Wyoming), Michael Tsatsomeros
(Washington State University), and Pauline van den Driessche
(University of Victoria). The intent of the organizers
was that the meeting would serve to establish connections
between both individual researchers and between research
areas, and would promote collaboration and new research.
"Directions in Combinatorial Matrix Theory" attracted 29
faculty (10 from Canada, 15 from the U.S., and 4 from abroad),
2 post-doctoral fellows, and 6 graduate students. The workshop
included 15 talks and two open problem sessions, and a lecture
by Miroslav Fiedler (Czech Academy of Sciences), who was the
distinguished ILAS speaker. The presentations focused on
current developments in the following emerging themes in
Combinatorial Matrix Theory: Spectral properties of families
of matrices associated with graphs; Matrix theory and graph
theory in the service of Euclidean geometry; Algebraic tools
for combinatorial problems; and Spectral properties of classes
of matrices. See
http://www.pims.math.ca/birs/workshops/2004/04w2525/
for more details of the objectives, titles and abstracts for
talks and open problems presented.
Each of the papers in this volume of The Electronic Journal
of Linear Algebra is related to a talk given at the workshop,
and has been refereed according to the journal's usual high
standards. It is our hope that this volume will serve not
only as a lasting document of the workshop itself, but also
as a tool for motivating future research in combinatorial
matrix theory.
Steve Kirkland, Bryan L. Shader and Pauline van den Driessche
Special Issue Editors