 J. McDonald. On Galvin orientations of line graphs and listedgecolouring, submitted. [arXiv]
 J. Asplund and J. McDonald. On a limit of the method of Tashkinov trees for edgecolouring, submitted.
 D. Hoffman, P. Johnson and J. McDonald. Minimum (n,k,t) clique graphs, submitted.
 M. DeVos, J. McDonald and I. Pivotto. Packing Steiner Trees, submitted. [arXiv]
 L. Anderson, M. DeVilbiss, S. Holliday, P. Johnson, A. Kite, R. Matzke and J. McDonald. The edge Grundy numbers of some graphs, submitted.
 J. McDonald. Edgecolourings, in: Topics in Chromatic Graph Theory (eds. L. W. Beineke and R. J. Wilson), Cambridge University Press, 2015.
 M. DeVos, Z. Dvorak, J. Fox, J. McDonald, B. Mohar and D. Scheide (2014) A minimum degree condition forcing complete graph immersion. Combinatorica 34(3): 279298. [arXiv] [Journal]
 G. Chapuy, M. DeVos, J. McDonald, B. Mohar and D. Scheide (2014) Packing triangles in weighted graphs. SIAM Journal on Discrete Mathematics 28(1): 226239. [Journal]
 P. Johnson and J. McDonald (2013) Note on the inverse domination number problem. Congressus Numerantium 215: 4751.
 M. DeVos, J. McDonald, B. Mohar, and D. Scheide (2013) A note on forbidding clique immersions. Electronic Journal of Combinatorics 20(3): #P55 (5 pages). [Journal]
 M. DeVos, J. McDonald, and D. Scheide (2013) Average degree in graph powers. Journal of Graph Theory 72(1): 718. [arXiv] [Journal]
 M. DeVos, J. McDonald, B. Mohar and D. Scheide (2012) Immersing complete digraphs. European Journal of Combinatorics 33(6): 12941302. [arXiv] [Journal]
 J. McDonald, B. Mohar, D. Scheide (2012) Kempe equivalence of edgecolourings in subcubic and subquartic graphs. Journal of Graph Theory 70(2): 226239. [arXiv] [Journal]
 P. Haxell and J. McDonald (2012) On Characterizing Vizing's EdgeColouring Bound. Journal of Graph Theory 69(2): 160168. [Journal]
 J. M. McDonald (2011) On a Theorem of Goldberg. Journal of Graph Theory 68(1): 821. [Journal]
 J. M. McDonald (2010) On multiples of simple graphs and Vizing's Theorem. Discrete Mathematics 310(1516): 22122214. [Journal]
 J. M. McDonald (2009) Achieving maximum chromatic index in multigraphs. Discrete Mathematics 309(8): 20772084. [Journal]
The last three papers above contain results from my PhD thesis, which is available in full on the University of Waterloo's ethesis database.
 J. M. McDonald. Multigraphs with High Chromatic Index. PhD Thesis, University of Waterloo, 2009. [ethesis]
