Doctoral Students:
Martin Rolek (April 2017, Assistant Professor (tenure-track), Kennesaw State University)
- Dissertation: Coloring Graphs with Forbidden Minors
- Publication 1: Coloring graphs with forbidden minors (with Zi-Xia Song), J. Combinatorial Theory, Ser. B 127 (2017) 14-31.
- Publication 2: Double-critical graph conjecture for claw-free graphs (with Zi-Xia Song), Discrete Mathematics 340 (2017) 1633-1638.
- Publication 3: Saturation numbers of Ramsey-minimal graphs (with Zi-Xia Song), Discrete Mathematics 341 (2018) 3310-3320.
- Publication 4: Clique minors in double-critical graphs (with Zi-Xia Song), J. Graph Theory 88 (2018) 347-355.
- Publication 5: Properties of 8-contraction-critical graphs with no K7 minor (with Zi-Xia Song and Robin Thomas), European Journal of Combinatorics 110 (2023), 103711.
Christian Bosse (June 2019, Department of Defense)
- Dissertation: Hadwiger Numbers & Gallai-Ramsey Numbers of Special Graphs
- Publication: A note on Hadwiger’s Conjecture for W5-free graphs with independence number two, Discrete Mathematics 342 (2019) 111595.
- Preprint 1: Improved upper bounds for Gallai-Ramsey numbers of odd cycles (with Zi-Xia Song and Jingmei Zhang), arXiv:1808.09963
- Preprint 2: Multicolor Gallai-Ramsey numbers of C9 and C11 (with Zi-Xia Song), arXiv:1802.06503.
Jingmei Zhang (June 2019, High school affiliated to the Southern University of Science & Technology of China)
- Dissertation: Two Ramsey-related Problems
- Publication 1: On the size of (Kt, Tk)-co-critical graphs (with Zi-Xia Song), The Electronic Journal of Combinatorics 28(1) (2021), #P1.13.
- Publication 2: On the size of special class 1 graphs and (P3;k)-co-critical graphs (with Gang Chen, Zhengke Miao, Zi-Xia Song), Discrete Mathematics 344 (2021), 112604.
- Publication 3: Multicolor Gallai-Ramsey numbers of C10 and C12 (with H. Lei, Y. Shi, Zi-Xia Song), Australian Journal of Combinatorics 79 (2021) 380-400.
- Publication 4: On the size of (Kt, path)-co-critical graphs (with Gang Chen, Zhengke Miao, Zi-Xia Song), Graphs and Combinatorics 38 (2022), 136.
- Preprint: Improved upper bounds for Gallai-Ramsey numbers of odd cycles (with Zi-Xia Song and Jingmei Zhang), arXiv:1808.09963
Michael Lafferty (April 2024, Visiting Assistant Professor, William & Mary starting Fall 2024)
- Dissertation: Extremal Functions for K_t^{-s} Minors and Coloring Graphs with no K_t^{-s} Minor
- Publication: A note on odd colorings of 1-planar graphs (with Dan Cranston and Zi-Xia Song), Discrete Applied Mathematics 330 (2023) 112-117.
- Preprint 1:Every graph with no K8-4e minor is 7-colorable (with Zi-Xia Song), submitted. arXiv:2208.07338
- Preprint 2: Every graph with no K9-6e minor is 8-colorable (with Zi-Xia Song), submitted. arXiv:2209.05259
Michael Scully (in progress)
- Dissertation:
Master Students:
Austin J. Foster (July 2016, Software Engineer / Developer, PLURALSIGHT)
Undergraduate Students: Honors in the Major
Dylan Bruce (April 2017, Ph.D student at North Carolina State University)
- Thesis: Gallai-Ramsey Number for C7 with Multiple Colors
- Paper: Gallai-Ramsey numbers of C7 with multiple colors (with Zi-Xia Song), Discrete Mathematics 342 (2019) 1191-1194.
- Winner of Honors Undergraduate Thesis (HUT) Scholarship
Hunter Davenport (April 2018, Ph.D student at the University of Colorado Boulder)
- Thesis: On Saturation Numbers for Ramsey-minimal Graphs
- Paper: On the size of (Kt,star)-co-critical graphs (with Zi-Xia Song), European Journal of Combinatorics 104 (2022), 103533.
- Winner of Honors Undergraduate Thesis (HUT) Scholarship
Jake Ruotolo (April 2022, Ph.D student at Harvard University)
- Thesis: Multicolor Ramsey and List Ramsey Numbers for Double Stars
- Paper: Multicolor Ramsey number for double stars (with Zi-Xia Song), Discrete Mathematics 347 (2024), 114034.
- Winner of Honors Undergraduate Thesis (HUT) Scholarship
Gregory Decamillis (April 2024, Ph.D student at University of Waterloo starting Fall 2024)
- Thesis: Multicolor Bipartite Ramsey Number of Double Stars
- Paper: Multicolor bipartite Ramsey number of double stars (with Zi-Xia Song), submitted. arXiv:2312.03670
- Winner of Honors Undergraduate Thesis (HUT) Scholarship
- Winner of the Allyn M. Stearman Research Scholarship
- Winner of Founders’ Day Outstanding Honors Undergraduate Thesis Award in Spring 2025
Thomas Tibbetts – April 2026 (expected)
Undergraduate Students: Directed Research
Brian Thomas (graduated in April 2012, Ph.D. student at University of Virginia)
- Hadwiger’s Conjecture for graphs with forbidden holes (with Zi-Xia Song), SIAM J. Discrete Mathematics 31 (2017) 1572-1580.
Ivan Casas-Rocha and Benjamin Snyder (Summer 2023)
- The minimum degree of (Ks,Kt)-co-critical graphs (with Zi-Xia Song), submitted, arXiv:2311.04800