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Courses taught 2009/2010:
MAT121 Calculus I
MAT126 Introductory Linear Algebra
MAT/CSC217 Discrete Mathematics
MAT321 Modern Geometry
MAT336 Linear Algebra |
EDUCATION
Ph.D. (1995), Mathematics and Statistics, Queen's University
Dissertation: "Covers and Decompositions of Graphs by Complete Multipartite Subgraphs."
M.Sc. (1991), Mathematics and Statistics, Queen's University
Thesis: "Induced Subgraphs of Kneser Graphs."
B.Sc. Hon (1989), Mathematics, Calvin College
RESEARCH INTERESTS
- Linear algebra: combinatorial matrix analysis, sign patterns, inertia
- Graph theory: decomposition problems, eigenvalue problems
- History of mathematics
RESEARCH FUNDING
Combinatorial Matrix Theory, NSERC Discovery Grant 2006-2011
Graph and Matrix Decompositions, NSERC Discovery Grant 2002-2006
RECENT PUBLICATIONS
I.-J. Kim, B. Shader, P. van den Driessche, H. van der Holst, and K. Vander Meulen, "Generating potentially nilpotent full sign patterns," Electronic Journal of Linear Algebra, Vol. 18 (2009), pp. 162-175.
AIM minimum rank - special graphs work group, "Zero forcing sets and the minimum rank of graphs." Linear Algebra and its Applications, Vol. 428(7) (2008), pp. 1628-1648. Special graphs work group members: F. Barioli, W. Barrett, S. Butler, S. Cioaba, D. Cvetkovic, S. Fallat, C. Godsil, W. Haemers, L. Hogben, R. Mikkelson, S. Narayan, O. Pryporova, I. Sciriha, W. So, D. Stevanovic, H. van der Holst, K. Vander Meulen and A. Wangsness.
M.S. Cavers, R.J. Elzinga, D.A. Gregory, Sarah Vanderlinde, K. Vander Meulen, "Clique partitions of distance multigraphs," Discrete Mathematics, Vol. 308(15) (2008), pp. 3230-3240.
Michael S. Cavers and K. Vander Meulen, "Inertially arbitrary nonzero patterns of order 4," Electronic Journal of Linear Algebra, Vol. 16 (2007), pp. 30-43
L. DeAlba, I.R. Hentzel, L. Hogben, J. McDonald, R. Mikkelson, O. Pryporova, B. Shader, K. Vander Meulen, "Spectrally arbitrary patterns: reducibility and the 2n conjecture for n=5," Linear Algebra and its Applications, Vol. 423 (2007), pp. 262-276.
Michael Cavers, In-Jae Kim, Bryan Shader, and K.Vander Meulen, "On Determining Minimal Spectrally Arbitrary Patterns," Electronic Journal of Linear Algebra, Vol. 13 (2005), 240-248.
Michael S. Cavers and K. Vander Meulen, "Spectrally and Inertially Arbitrary Sign Patterns", Linear Algebra and its Applications, Vol. 394 (2005), 53-72.
RECENT PRESENTATIONS
"Potentially Nilpotent Full Sign Patterns," AMS Special Session on Spectra of Matrix Patterns and Applications to Dynamical Systems, 2009 Joint Mathematics Meetings, Washington D.C., January 6-8, 2009.
"Probability Through the Eyes of Faith," OCSTA (Ontario Christian School Teachers Association) Convention, Redeemer University College, October 24, 2008.
"Sparse Inertially Arbitrary Sign Patterns," Minisymposium on Combinatorial Matrix Theory, 15th ILAS (International Linear Algebra Society) Conference, Mexico, June 16-20, 2008.
"Sparse Inertially Arbitrary Sign Patterns," Quantum Information and Geometric Statistics Seminar, University of Guelph, ON, February 12, 2008.
"Spectrally Arbitrary Sign Patterns," Faculty Colloquium, Central Michigan University, Mount Pleasant, MI, April 26, 2007
"Imaginary Mathematics [History and Application of Complex Numbers]," OCSTA Annual Convention, Redeemer University College, Nov. 4, 2005.
"Faithful Mathematics [Implications of Abstraction]," OCSTA Annual Convention, Redeemer University College, Nov. 3, 2005.
"On Determining Minimally Spectrally Arbitrary Patterns," AMS (American Mathematical Society) Sectional Meeting, University of Nebraska, Oct. 21, 2005.
"Partitions of Distance Graphs by Cliques," Linear Algebra, Graph Theory and Combinatorics Conference, University of Wisconsin - Madison, April 29, 2005.
"Clique Partitions of Distance Graphs," Ottawa - Carleton Combinatorics and Optimization Seminar, Carleton University, Jan. 25, 2005.
PROFESSIONAL MEMBERSHIPS AND ASSOCIATIONS
Institute of Combinatorics and its Applications
Association for Christians in the Mathematical Sciences
Canadian Mathematical Society
International Linear Algebra Society
RELEVANT LINKS
Professor Vander Meulen's homepage