Mathematical Research
My research interests fall in the general area of discrete mathematics. Mostly I work on problems in discrete geometry, graph theory and design theory. Below is a list of some of my publications and conferences I frequent.
Select Publications:
Braxton Carrigan, David Diaz, John Lorch, Robert Lorch, and James Hammer, ``Sudoku Pair Latin Squares.'' Australasian Journal of Combinatorics.Vol 82(1) (2022), 31-58.
Braxton Carrigan, John Lorch, Robert Lorch, James Hammer, and Caitlin Owens, "List Coloring Count Rokudoku-Pair Squares.'' Bulletin of the International Combinatorics Association. Vol 92 (2021), 62-77.
Braxton Carrigan and Garrett Green , "Skolem Number of Subgraphs on the Triangular Lattice.'' Communications on Number Theory and Combinatorial Theory: Vol. 2, Article 2 (2021).
Asplund, J and Carrigan, B. "Skolem Number of Cycles and Grid Graphs." Theory and Applications of Graphs. Vol. 8: Iss. 2, Article 4. (2021)
Braxton Carrigan, John Lorch, and James Hammer, "A Regional Kronecker Product and Multiple Pair Latin Squares." Discrete Mathematics. 343.3 (2020), 111762.
Carrigan, B. Clark, A. and Hammer, J. "H-decompositions of Generalized Johnson Graphs." Congressus Numerantium. 232 (2019), 5-14.
Carrigan, B. and Hammer, J. "Traveling in Networks with Blinking Nodes." Theory and Applications of Graphs: Vol. 5: Iss. 1 , Article 2. 2018
Carrigan, B. Kagey, P. and O'Brien, J. “Further Results on Minimizing Positive Integer Sequences without Duplicate Substrings.” Congressus Numerantium 228 (2017), 295-303.
Carrigan, B. Kagey, P. and O'Brien, J. "Minimizing Positive Integer Sequences without Duplicate Substrings." Geombinatorics, Volume XXVII(2018): iss. 3, pages 109-120
Carrigan, B. Kagey, P. and O'Brien, J. OEIS Foundation Inc. (2017), The On-Line Encyclopedia of Integer Sequences, http://oeis.org/A282164
Carrigan, B. Kagey, P. and O'Brien, J. OEIS Foundation Inc. (2016), The On-Line Encyclopedia of Integer Sequences, http://oeis.org/A274701
Atkinson, B. and Carrigan, B. “GoldenTriangulations.” Geombinatorics, Volume XXVI(2017): iss. 3, pp 97-121
Bezdek, B. and Carrigan, B. “On Nontriangulable Polyhedra.” Beitrage zur Algebra und Geometrie, Volume 56(2016),Issue 1, pp 51-66.
Asplund, J. Carrigan, B. and Rodger, C. Investigating Discrete Mathematics. ©2014 Auburn University
Bezdek, B. and Carrigan, B. “Tiling Polyhedra with Tetrahedra.” Proceedings of the 24th Canadian Conference on Computational Geometry (CCCG2012), pages 217-222, 2012.
Select Related Conferences and Workshops I frequent: