Research

Dr. Westlund's research interests lie in discrete mathematics, particularly combinatorics, extremal graph theory, algebraic graph theory, and applied network analysis.  He is also interested in best practices in undergraduate mathematics education and institutional research.


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Publications

  1. Vandenbussche, J., Callahan, K., Keating, K., Ritter, L., and Westlund, E. E., Strand Committees and Course Coordination: Complementary Structures to Drive Evidence-Based Improvements, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, to appear
  2. Vandenbussche, J.; Westlund, E.E.: Matching extendability in Cartesian products of cycles.  Australasian Journal of Combinatorics 82(3) (2022), 317-334.
  3. Vandenbussche, J.; Ritter, L.; Callahan, K.; Westlund, E.E.: Using Strand Committees to Build Faculty Support for Departmental Change. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies (2021), DOI.
  4. Larsen, V.; Vandenbussche, J.; Westlund, E.E.: Hall Spectra and Extending Precolorings with Extra Colors. Australasian Journal of Combinatorics 76(1) (2020), 346-365.
  5. Holliday, S.; Vandenbussche, J.; Westlund, E.E.: Every Graph G is Hall Δ(G)-Extendible. Electronic Journal of Combinatorics 22 (2016), no. 4, Paper 4.19, 21 pp.
  6. Golubski, A.J.; Westlund, E.E.; Vandermeer, J.; Pascual, M.: Ecological Networks Over the Edge: Hypergraph Trait-Mediated Indirect Interaction (TMII) Structure. Trends in Ecology and Evolution 31 (2016), no 5, 344-354.
  7. Holliday, S.; Vandenbussche, J.; Westlund, E.E.: Completing partial proper colorings using Hall's condition. Electronic Journal of Combinatorics 22 (2015), no. 3, Paper 3.6, 16 pp.
  8. Castle, M.F.; Moore, E.D.; Westlund, E.E.: Directed tree decompositions of Cayley digraphs on word-degenerate connection sets. Australasian Journal of Combinatorics 61 (2015) 82-97.
  9. Westlund, E.E.: Hamilton decompositions of 6-regular Cayley graphs on even Abelian groups with involution-free connection sets. Discrete Mathematics 331 (2014), 117-132.
  10. Westlund, E.E.: Hamilton decompositions of certain 6-regular Cayley graphs on Abelian groups with a cyclic subgroup of index two. Discrete Mathematics 312 (2012), no. 22,  3228-3235.
  11. Kreher, D. L.; Westlund, E.E.: n-isofactorizations of 8-regular circulant graphs. Journal of Combinatorial Mathematics and Combinatorial Computing 72 (2010), 197-209.
  12. Westlund, E.E.; Liu, J.; Kreher D.L.: 6-regular Cayley graphs on abelian groups of odd order are Hamiltonian decomposable. Discrete Mathematics. 309 (2009), no. 16,  5106-5110.

Current Projects

  1. Vandenbussche, J.; Westlund, E.E.: Matching extendability in bipartite Cayley graphs
  2. Ritter, L.; Westlund, E.E.: Developing Technical Vocabulary:  A study in intermediate undergraduate mathematics courses
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