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, April  2026 (expected), currently Senior Data Scientist and VP at Citizens Bank since August 2025

• Dissertation: TBA
• Preprint: Dominating Hadwiger’s Conjecture for graphs with independence number two (with Zi-Xia Song), arXiv:2510.12564

M. Sc. Students:

Austin J. Foster (July 2016, Software Engineer / Developer, PLURALSIGHT)

• Thesis:  Interval Edge-colorings of Graphs

Undergraduate Students: Honors Undergraduate Thesis

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 and Fan Yang),  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)

• Thesis: TBA
• Preprint: Dominating Hadwiger’s Conjecture holds for all 2K2-free graphs (with Zi-Xia Song), arXiv:2510.12567

Undergraduate Students: Directed  Research

Brian Thomas (graduated in April 2012, Ph.D. student at the University of Virginia)

• Hadwiger’s Conjecture for graphs with forbidden holes (with Zi-Xia Song), SIAM J.  Discrete Mathematics 31 (2017) 1572-1580.

 Benjamin Snyder (graduated in April 2024, Ph.D student at Texas A&M Univeristy)

• The minimum degree of (Ks,Kt)-co-critical graphs (with Zi-Xia Song),  submitted,  arXiv:2311.04800

Ivan Casas-Rocha (graduated in April 2025, Ph.D. at the University of Minnesota)

• The minimum degree of (Ks,Kt)-co-critical graphs (with Zi-Xia Song),  submitted,  arXiv:2311.04800