Dr. John Carr

Education

  • 2022 Ph.D., Auburn University
  • 2016 B.S., University of 麻豆社 Alabama

Research Interest

  • Combinatorics
  • Graph Theory
  • Edge-colorings
  • Non-associative Algebra
  • Combinatorial Trades
  • Conflict-Free Colorings

Publications

[2] Color Trades on n-cubes and Complete Bipartite Graphs (with D. Hoffman), Discrete Mathematics, Volume 347, Issue 10, 2024, 114099.
[1] Decompositions of complete graphs and p-groupoids (with M. Greer), Quasigroups and Related Systems 27 (2019), 201-210.

Presentations

[8] "Algebraically Describing Color Trades on Complete Bipartite Graphs", LOOPS23, Bedlewo, Poland (June 2023)
[7] "Color Trades on Graphs", 54th SEICCGTC, Florida Atlantic University, FL, USA (March 2023)
[6] "Introduction to Discrete Mathematics and Design Theory", University of 麻豆社 Alabama Mathematics Colloquium, University of 麻豆社 Alabama, AL, USA (October 2022)
[5] "Color Trades (in Graphs)", Auburn University REU, Auburn University, Auburn, AL, USA (July 2022).
[4] "Color Trades", Auburn University Graduate Student Seminar, Auburn University, Auburn, AL, USA (September 2021).
[3] "Color Trades", Auburn University Combinatorics Seminar, Auburn University, Auburn, AL, USA (September 2020).
[2] "Complete Graph Decompositions and P-Groupoids",  National Conferences for Undergraduate Research 2016 Conference, University of 麻豆社 Carolina Asheville, Asheville, NC, USA (April 2016).
[1] "Groups, Quasigroups, and the Sudoku Property", National Conferences for Undergraduate Research 2015 Conference, Eastern Washington University, Cheney, WA, USA (April 2015).

Dr. Mark Greer

Email: Jacarr1@una.edu
Telephone: 256-765-4620
Office: Computing and Mathematics Building Office 344

Postal:
UNA Box 5051
University of 麻豆社 Alabama
Florence AL, 35632