The answer to Woodall's musquash problem. - Grant Cairns; Deborah M. King (Discret. Math., 1999)

Bounds for Generalized Thrackles. - Grant Cairns; Yury Nikolayevsky (Discret. Comput. Geom., 2000)

Queens on Non-square Tori. - Grant Cairns (Electron. J. Comb., 2001)

All odd musquashes are standard. - Grant Cairns; Deborah M. King (Discret. Math., 2001)

Leftovers from the Ham Sandwich Theorem. - Graham Byrnes; Grant Cairns; Barry Jessup (Am. Math. Mon., 2001)

The Crystallographic Restriction, Permutations, and Goldbach's Conjecture. - John Bamberg; Grant Cairns; Devin Kilminster (Am. Math. Mon., 2003)

Generalized Thrackle Drawings of Non-bipartite Graphs. - Grant Cairns; Yury Nikolayevsky (Discret. Comput. Geom., 2009)

Ultimately bipartite subtraction games. - Grant Cairns; Nhan Bao Ho (Australas. J Comb., 2010)

Min, A Combinatorial Game Having a Connection With Prime Numbers. - Grant Cairns; Nhan Bao Ho (Integers, 2010)

The Sprague-Grundy function of the real game Euclid. - Grant Cairns; Nhan Bao Ho; Tamás Lengyel (Discret. Math., 2011)

Outerplanar Thrackles. - Grant Cairns; Yury Nikolayevsky (Graphs Comb., 2012)

A Property of Twin Primes. - Christian Aebi; Grant Cairns (Integers, 2012)

A sharp refinement of a result of Alon, Ben-Shimon and Krivelevich on bipartite graph vertex sequences. - Grant Cairns; Stacey Mendan; Yury Nikolayevsky (Australas. J Comb., 2014)

Great-circle spherical thrackles. - Grant Cairns; Timothy J. Koussas; Yury Nikolayevsky (Discret. Math., 2015)

A sharp refinement of a result of Zverovich-Zverovich. - Grant Cairns; Stacey Mendan; Yury Nikolayevsky (Discret. Math., 2015)

Symmetric Bipartite Graphs and Graphs with Loops. - Grant Cairns; Stacey Mendan (Discret. Math. Theor. Comput. Sci., 2015)

Generalizations of Wilson's Theorem for Double-, Hyper-, Sub- and Superfactorials. - Christian Aebi; Grant Cairns (Am. Math. Mon., 2015)

An improvement of a result of Zverovich - Zverovich. - Grant Cairns; Stacey Mendan (Ars Math. Contemp., 2016)

Conewise Linear Periodic Maps of the Plane with Integer Coefficients. - Grant Cairns; Yuri Nikolayevsky; Gavin Rossiter (Am. Math. Mon., 2016)

The Quartic Residues Latin Square. - Christian Aebi; Grant Cairns (Integers, 2017)

Sums of Quadratic Residues and Nonresidues. - Christian Aebi; Grant Cairns (Am. Math. Mon., 2017)

Equitable Candy Sharing. - Grant Cairns (Am. Math. Mon., 2017)

Bad drawings of small complete graphs. - Grant Cairns; Emily Groves; Yuri Nikolayevsky (Australas. J Comb., 2019)

Following in Yiu's Footsteps but on the Eisenstein Lattice. - Christian Aebi; Grant Cairns (Am. Math. Mon., 2024)