Profile
Geoffrey Boyer
Mathematical and Statistical Sciences
Grad Tchr of Record-Principle
864-656-3434
Jordan Hall G15 [Office]
Educational Background
B.S., Mathematics, Wake Forest University, 2020
M.S., Mathematics, Clemson University, 2024
Research Interests
Graph Theory; Domination in Graphs, Isolation in Graphs, Measure of Vulnerability in Graphs, Well-Hued Graphs
Courses Taught
Math 1020: Business Calculus 1
Math 2070: Business Calculus 2
Math 1050: Precalculus
Math 1060: Calculus I for Engineers
Selected Publications
G. Boyer, W. Goddard, M. A. Henning. Bounds on the Total Isolation Number of (Regular) Bipartite Graphs. (Submitted 2025).
G. Boyer, W. Goddard, M. A. Henning. Domination, Isolation, and Matchings in (Cubic) Multigraphs and Inflations. (Submitted 2025)
G. Boyer, K. Kuenzel, J. Lyle, R. Pellico. Well-hued graphs with first difference two. (Submitted 2025). https://doi.org/10.48550/arXiv.2506.04993
G. Boyer, W. Goddard. On the toughness of regular graphs and prisms. (Submitted 2025). https://doi.org/10.48550/arXiv.2301.13632
G. Boyer, G. Farrell, W. Goddard. All-k-isolation in trees. (Submitted 2025)
G. Boyer, W. Goddard. Bounds on independent isolation in graphs. Disc. Appl. Math. 372 (2025), 143-149.
G.Boyer, W. Goddard, and M. A. Henning. On total isolation in graphs. Aequat. Math. (2024).
G. Boyer and W. Goddard, Disjoint isolating sets and graphs with maximum isolation number. Disc. Appl. Math. 356 (2024), 110-116.
G. Boyer, W. Goddard, and M. A. Henning. Domination parameters and the removal of matchings. Appl. Math. and Comp. 476 (2023).
G.Boyer and W.Goddard. Domination in graphs and the removal of a matching. Discus. Math. Graph Theory 45 (1) (2023).
