Enumeration of Triangles in Quartic Residue Graphs. - Mark Budden; Nicole Calkins; William Nathan Hack; Joshua Lambert; Kimberly Thompson (Integers, 2011)

Generalized Ramsey theorems for r-uniform hypergraphs. - Mark Budden; Josh Hiller; Aaron Rapp (Australas. J Comb., 2015)

Weakened Ramsey Numbers and Their Hypergraph Analogues. - Mark Budden; Matthew Stender; Yanbo Zhang (Integers, 2017)

Destroying the Ramsey property by the removal of edges. - Mark Budden; Elijah DeJonge (Australas. J Comb., 2019)

Corrigendum: Trees and n-good hypergraphs. - Mark Budden; Andrew Penland (Australas. J Comb., 2019)

Schur numbers involving rainbow colorings. - Mark Budden (Ars Math. Contemp., 2020)

Anti-Ramsey Hypergraph Numbers. - Mark Budden; William Stiles (Electron. J. Graph Theory Appl., 2021)

Sierpiński products of r-uniform hypergraphs. - Mark Budden; Josh Hiller (Art Discret. Appl. Math., 2022)

Minimally connected $r$-uniform hypergraphs. - Mark Budden; Josh Hiller; Andrew Penland (Australas. J Comb., 2022)

Multicolor star-critical Ramsey numbers and Ramsey-good graphs. - Mark Budden; Elijah DeJonge (Electron. J. Graph Theory Appl., 2022)

Star-critical Gallai-Ramsey numbers involving the disjoint union of triangles. - Mark Budden; Zoulaiha Daouda (Art Discret. Appl. Math., 2022)

Rainbow numbers for the generalized Schur equation $x_1 + x_2 + ... +x_{m-1} = x_m$. - Mark Budden; Bruce M. Landman (Australas. J Comb., 2024)