Subgraph Complementation and Minimum Rank. - Calum Buchanan; Christopher Purcell; Puck Rombach (Electron. J. Comb., 2022)

Node Placement to Maximize Reliability of a Communication Network with Application to Satellite Swarms. - Calum Buchanan; James P. Bagrow; Puck Rombach; Hamid R. Ossareh (SMC, 2023)

Odd covers of graphs. - Calum Buchanan; Alexander Clifton; Eric Culver; Jiaxi Nie; Jason O'Neill; Puck Rombach; Mei Yin (J. Graph Theory, 2023)

Trail Trap: a variant of Partizan Edge Geography. - Calum Buchanan; MacKenzie Carr; Alexander Clifton; Stephen G. Hartke; Vesna Irsic; Nicholas Sieger; Rebecca Whitman (CoRR, 2024)

A Lower Bound on the Saturation Number and a Strengthening for Triangle-Free Graphs. - Calum Buchanan; Puck Rombach (Electron. J. Comb., 2025)

Vertex addition to a ball graph with application to reliability and area coverage in autonomous swarms. - Calum Buchanan; Puck Rombach; James P. Bagrow; Hamid R. Ossareh (CoRR, 2025)