A simple proof of Menger's theorem. - William McCuaig (J. Graph Theory, 1984)

Existence of graphs with specified cycle lengths. - William McCuaig (Discret. Math., 1989)

Domination in graphs with minimum degree two. - William McCuaig; F. Bruce Shepherd (J. Graph Theory, 1989)

Intercyclic digraphs. - William McCuaig (Graph Structure Theory, 1991)

Cycles through edges in cyclically k-connected cubic graphs. - William McCuaig (Discret. Math., 1992)

Submaps of maps. II. Cyclically k-connected planar cubic maps. - Edward A. Bender; Zhicheng Gao; William McCuaig; L. Bruce Richmond (J. Comb. Theory B, 1992)

Edge reductions in cyclically k-connected cubic graphs. - William McCuaig (J. Comb. Theory B, 1992)

The Connectivity of the Block-Intersection Graphs of Designs. - Donovan R. Hare; William McCuaig (Des. Codes Cryptogr., 1993)

Contractile Triples in 3-Connected Graphs. - William McCuaig; Katsuhiro Ota (J. Comb. Theory B, 1994)

Ordered colourings. - Meir Katchalski; William McCuaig; Suzanne M. Seager (Discret. Math., 1995)

Permanents, Pfaffian Orientations, and Even Directed Circuits (Extended Abstract). - William McCuaig; Neil Robertson 001; Paul D. Seymour; Robin Thomas 001 (STOC, 1997)

Even dicycles. - William McCuaig (J. Graph Theory, 2000)

Brace generation. - William McCuaig (J. Graph Theory, 2001)

Pólya's Permanent Problem. - William McCuaig (Electron. J. Comb., 2004)