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University of Regina
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Dr. S.J. Kirkland
Professor, Ph.D. 1989 (Toronto)
Field of Research. Matrix theory, directed and undirected
graphs.
Theory and applications of nonnegative matrices, with particular
emphasis on tournament matrices, algebraic connectivity for graphs and
Markov chains.
Recent students.
- S. Ao, Ph.D., 1998. Thesis entitled Aspects of
Chromatic Numbers and Rankings in Tournaments.
Selected Publications.
- S. Fallat, S. Kirkland and S. Pati, Minimizing
algebraic connectivity over connected graphs with fixed girth, Discrete
Mathematics, to appear.
- S. Kirkland, An upper bound on algebraic connectivity of graphs with
many cutpoints, Electronic Journal of Linear Algebra 8 (2001), 94-109.
- S. Kirkland, and M. Neumann, Regular Markov chains for which the
transition matrix has large exponent, Linear Algebra and its Applications 316
(2000), 45-65.
- S. Kirkland and S. Fallat, Perron components and algebraic
connectivity for weighted graphs , Linear and
Multilinear Algebra 44 (1998), 131-148.
- S. Kirkland and S. Fallat, Extremizing algebraic
connectivity subject to graph theoretic constraints, Electronic Journal
of Linear Algebra 3 (1998), 48-74.
- S. Kirkland, Perron vector bounds for a tournament
matrix with applications to a conjecture of Brualdi and Li, Linear
Algebra and its Applications 262 (1997), 209-227.
- S. Kirkland, A note on the eigenvalues of a
primitive matrix with large exponent, Linear Algebra and its Applications 253
(1997), 103-112.
- S. Kirkland, M. Neumann, and B. Shader, Characteristic vertices of weighted trees via Perron
values, Linear Multilinear Algebra 40 (1996), 311-325.
- S. Kirkland, On the minimum Perron value for an
irreducible tournament matrix, Linear Algebra and its Applications 244 (1996),
277-304.
Editorial Work.
Other Activities.
kirkland@math.uregina.ca