Research

My research area is in Graph Theory. In my doctoral dissertation, I focused on investigating a variation of graceful colorings in graphs as well as introducing concepts that relate graph colorings and connection in graphs. Below is the abstract for my dissertation, as well as my research statement, which describes in detail these and other areas of research with which I am involved.

If you are interested in collaborating with me, please contact me at abyers@ysu.edu. I am especially interested in collaborating with undergraduate and graduate students at YSU. Graph Theory is very accessible and fun, even for those with little background in the field.

If you are a math or stats undergraduate student in the first or second year of your education, consider applying for the upcoming REU: YSU-BUMP. I will be advising a project in graph theory in the summer of 2022. See this website for more information.

For some fun exploring graphs, check out this puzzle: https://treksit.com/?space 

Recent Publications

1. Rainbow Hamiltonian-connected graphs (with Z. Bi and P. Zhang). Bulletin of the Institute of Combinatorics and its Applications. 78 (2016) 8-22.

2. Graceful colorings of graphs (with Z. Bi, S. English, E. Laforge and P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. 101 (2017) 101-119.

3. Revisiting graceful labelings of graphs (with Z. Bi and P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. 102 (2017) 141-158.

4. Proper Hamiltonian-connected graphs (with Z. Bi and P. Zhang). Bulletin of the Institute of Combinatorics and its Applications. 79 (2017) 31-48.

5. On rainbow Hamiltonian-connected graphs and digraphs (with Z. Bi and P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. (2016)

6. k-Rainbow Hamiltonian-connected graphs (with Z. Bi, S. Devereaux and P. Zhang). Congressus Numerantium. (2017)

7. On k-rainbow connection in graphs (with Z. Bi, S. Devereaux and P. Zhang). Congressus Numerantium. (2017)

8. Trees and Hamiltonicity (with G. Chartrand, D. Olejniczak and P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. 104 (2018) 187-204.

9. Planar 3-path graphs (with D. Olejniczak, M. Zayed and P. Zhang). Ars Combinatoria. (2018)

10. Schwenk graphs of cages (with K. Alhulwah, Z. Bi, M. Zayed and P. Zhang). Bulletin of the Institute of Combinatorics and its Applications. 82 (2018) 61-76.

11. A note on k-rainbow connection in trees (with S. Devereaux, G. Johns and P. Zhang). Congressus Numerantium.

12. Spanning Trees and Hamiltonicity (with D. Olejniczak, M. Zayed and P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing.

13. On Hamiltonian-connected 3-path graphs (with D. Olejniczak, M. Zayed and P. Zhang). Discussiones Mathematicae Graph Theory.

14. The Down-Arrow Ramsey Set of a Graph (with D. Olejniczak). Journal of Combinatorial Mathematics and Combinatorial Computing. (2020)  Vol. 117, P2, 1-21.

15. An Amalgamation of Graceful and Harmonious Labelings (with A. O'Mellan). Bulletin of the Institute of Combinatorics and its Applications.  96 (2022) 53-67.

16. Harmonious Colorings of Graphs (with A. Adams*, O. Bindas*, E. Bajo Calderon, M. Cope*, A. Summers*, R. Thapa*). Springer Proceedings in Mathematics and Statistics. (2023) To appear.

*Indicates undergraduate