Michael Cavers

Adjunct Professor

Department of Mathematics and Statistics

PhD - Spectral Graph Theory

University of Regina, 2010

MMath - Graph Theory

University of Waterloo, 2005

BSc - Honours Mathematics

McMaster University, 2004

Contact information

Phone

Office: 403.220.6305

Web presence

Website

Office hours

By appointment


Research and teaching

Research areas

  • Combinatorics
  • Graph theory
  • Discrete mathematics
  • Markov chain Monte Carlo and related simulation methods
  • Mathematical geophysics
  • Mathematics education
  • Linear algebra

Publications

Journal article

  • Cavers, Michael and Seyffarth, Karen. "Graphs with large distinguishing chromatic number". Electronic Journal of Combinatorics 20.1 (2013): #P19 (17 p.). Print.

Journal articles - non-peer reviewed

  • Cavers, Michael and Vasudevan, Kris. "An Application of Markov Chains in Seismology". IMAGE - The Bulletin of the International Linear Algebra Society (ILAS) 51.Fall (2013): 13--18. Print.

Journal articles - peer reviewed

  • Cavers, Michael and Vasudevan, Kris. "Spatio-Temporal Complex Markov Chain (SCMC) Model using directed graphs: Earthquake sequencing". Pure and Applied Geophysics, (2014): 1--17. Print.
  • Cavers, Michael, C. Garnett, I-J Kim, D. Olesky, P. van den Driessche and K. Vander Meulen. "Techniques for identifying inertially arbitrary patterns". Electronic Journal of Linear Algebra 26. (2013): 71--89. Print.
  • B. Ahmadi, F. Alinagipour, Cavers, Michael, S. Fallat, K. Meagher and S. Nasserasr. "Minimum number of distinct eigenvalues of graphs". Electronic Journal of Linear Algebra 26. (2013): 673--691. Print.
  • Cavers, Michael and S. Fallat. "Allow problems concerning spectral properties of patterns". Electronic Journal of Linear Algebra 23. (2012): 731--754. Print.
  • Cavers, Michael, S. Cioaba, S. Fallat, D. Gregory, W. Haemers, S. Kirkland, J. McDonald and M. Tsatsomeros. "Skew-adjacency matrices of graphs". Linear Algebra and its Applications 436. (2012): 4512--4529. Print.
  • R. Bailey, A. Burgess, Cavers, Michael and K. Meagher. "Generalized covering designs and clique coverings". Journal of Combinatorial Designs 19.5 (2011): 378--406. Print.
  • Cavers, Michael. "On reducible matrix patterns". Linear and Multilinear Algebra 58.2 (2010): 257--267. Print.
  • Cavers, Michael, S. Fallat and S. Kirkland. "On the normalized Laplacian energy and general Randic index R-1 of graphs". Linear Algebra and its Applications 433.1 (2010): 172--190. Print.
  • Cavers, Michael, K. Vander Meulen and L. Vanderspek. "Sparse inertially arbitrary patterns". Linear Algebra and its Applications 431.11 (2009): 2024--2034. Print.
  • Cavers, Michael and J. VerstraĆ«te. "Clique partitions of complements of forests and bounded degree graphs". Discrete Mathematics 308.10 (2008): 2011--2017. Print.
  • Cavers, Michael, R. Elzinga, D. Gregory, S. Vanderlinde and K. Vander Meulen. "Clique partitions of distance multigraphs". Discrete Mathematics 308.15 (2008): 3230--3240. Print.
  • Cavers, Michael and K. Vander Meulen. "Inertially arbitrary nonzero patterns of order 4". Electronic Journal of Linear Algebra 16. (2007): 30--43. Print.
  • Cavers, Michael, I-J. Kim, B. Shader and K. Vander Meulen. "On determining minimal spectrally arbitrary patterns". Electronic Journal of Linear Algebra 13. (2005): 240--248. Print.
  • Cavers, Michael and K. Vander Meulen. "Spectrally and inertially arbitrary sign patterns". Linear Algebra and its Applications 394. (2005): 53--72. Print.

Master's thesis

  • Cavers, Michael. Clique partitions and coverings of graphs 2005.

PhD thesis

  • Cavers, Michael. The normalized Laplacian matrix and general Randic index of graphs 2010.