Research

RESEARCH PAPERS

20. Orientable total domination in graphs (with S. Anderson, T. Dravec, and K. Kuenzel). arXiv:2311.16307 [math.CO] (2023).

19. Equitable choosability of prism graphs (with K. Hogenson and S. O'Hara). arXiv:2305.14056 [math.CO] (2023).

18. Deranged matchings: proofs and conjectures (with P.M. Kayll and C. Palmer). The American Mathematical Monthly. (2023).

17. Rainbow saturation (with N. Bushaw and P. Rombach). Graphs and Combinatorics. 38, 166 (2022).

16. Lower bounds for rainbow Turan numbers of paths and other trees (with P. Rombach). Australasian Journal of Combinatorics. 78(1) (2020), 61-72. 

15. On edge-colored saturation problems (with M. Ferrara, S. Loeb, F. Pfender, A. Shulte, H. Smith, E. Sullivan, M. Tait, and C. Thompkins). Journal of Combinatorics. 11(4) (2020), 639–655.

14. On k-Ramsey numbers of unicyclic-star graphs (with C. Lumduanhom and P. Zhang). Ars Combinatoria. 137 (2018),  203-220.

13. On k-Ramsey numbers of stripes (with E. Andrews, Z. Bi, C. Lumduanhom and P. Zhang). Utilitas Mathematica. 106 (2018),  223-249.

12. Rainbow Turan problems for paths and forests of stars (with C. Palmer and A. Sarkar). Electronic Journal of Combinatorics. 24(1) (2017), #P34.

11. Proper Ramsey numbers of graphs (with S. English, D. Olejniczak and P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. 101 (2017), 281-299.

10. A note on the 2-Ramsey numbers of 4-cycles (with P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. 98 (2016), 271-279.

9. Color frames of stars and generalized matching numbers (with C. Lumduanhom and P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. 98 (2016), 221-237.

8. On vertex-distinguishing edge colorings of graphs (with S. English, E. Laforge and P. Zhang). Congressus Numerantium. 225 (2015), 37-54.

7. On twin edge colorings in trees. (with E. Andrews and P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. 94 (2015), 115-131.

6. On color frames of claws and matchings (with P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. 93 (2015), 183-200.

5. An upper bound for the twin chromatic index of a graph (with P. Zhang). Congressus Numerantium. 219 (2014), 175-182.

4. On twin edge colorings of graphs (with E. Andrews, L. Helenius, J. VerWys and P. Zhang). Discussiones Mathematicae Graph Theory. 34 (2014), 613-627.

3. A twin edge coloring conjecture (with E. Andrews and P. Zhang). Bulletin of the Institute of Combinatorics and its Applications. 70 (2014), 28-44.

2. An edge bicoloring view of edge independence and edge domination (with B. Phinezy and P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. 87 (2013), 115-136.

1. On color frames of claws in graphs (with G. Chartrand and P. Zhang). Journal of Combinatorial Mathematics and Combinatorial Computing. 85 (2013), 13-31.

DISSERTATION

Edge colorings of graphs and their applications. PhD thesis, Western Michigan University, USA (2015).