Publications since 2009

Publications with students

Selected preprints

**Since 2009**

Addie Armstrong and Dan McQuillan, Vertex-magic total labelings of even complete graphs, Discrete Math. 311 (2011) pp. 676-683.

Dan McQuillan, A technique for constructing magic labelings of 2-regular graphs, Journal of Combinatorial Mathematics and Combinatorial Computing 75 (2010), pp. 129-135.

Dan McQuillan and R. Bruce Richter, A Parity Theorem for Drawings of Complete and Complete Bipartite Graphs, American Mathematical Monthly Vol. 117, No. 3, March 2010.

Jeremy Holden, Dan McQuillan and James M. McQuillan, A conjecture on strong magic labelings of 2-regular graphs, Discrete Mathematics, 309 (2009), pp. 4130-4136.

Dan McQuillan and James M. McQuillan, Magic Labelings of Triangles, Discrete Mathematics, 309 (2009), pp. 2755-2762.

Dan McQuillan, Edge-magic and Vertex magic Total Labelings of Certain Cycles, Ars Combinatoria, 91(2009), pp. 257-266.

**With students**

Here are some of the highlights from work done with excellent mathematicians (Katy Smith, Jeremy Holden and Addie Armstrong) who were undergraduate students at the time that these papers were submitted.

Addie Armstrong and Dan McQuillan, Vertex-magic total labelings of even complete graphs, Discrete Math. 311 (2011) pp. 676-683.

Jeremy Holden, Dan McQuillan and James M. McQuillan, A conjecture on strong magic labelings of 2-regular graphs, Discrete Mathematics, 309 (2009), pp. 4130-4136.

Dan McQuillan and Katy Smith, Vertex-magic total labeling of multiple complete graphs, Congressus Numerantium 180 (2006) pp. 201-205.

Dan McQuillan and Katy Smith, Vertex-magic total labeling of odd complete graphs, Discrete Math. 305 (2005) pp. 240-249.