Associate Professor, Mathematics
Dawson Building, 204
Phone: On-campus Microsoft Teams Calling
Penn State Scranton
120 Ridge View Drive
Dunmore, PA 18512
Penn State Scranton
120 Ridge View Drive
Dunmore, PA 18512
Research Interests
Graph Theory and Combinatorics.
Publications
- Lan Lei, Xiaoming Li, Yang Wu, Taoye Zhang, and Hong-Jian Lai, “Strengthened Ore-conditions for (s,t)-supereulerian graphs,” Discrete Applied Mathematics, accepted.
- Xiaolin Ma, Hong-Jian Lai, Mingquan Zhan, Taoye Zhang and Ju Zhou, “On s-hamiltonian-connected line graphs,” Discussiones Mathematicae Graph Theory, (2021),
- Hong-Jian Lai, Mingquan Zhan, Taoye Zhang, and Ju Zhou, “Pancyclicity of 4-connected claw-free bull-free graphs,” Australasian Journal of Combinatorics, 76(2020), 366-386.
- Hong-Jian Lai, Mingquan Zhan, Taoye Zhang, and Ju Zhou, “On s-hamiltonian line graphs of claw-free graphs,” Discrete Math, 342(2019), 3006-3016.
- Hong-Jian Lai, Mingquan Zhan, Taoye Zhang, and Ju Zhou, “Pancyclicity of 4-Connected {K1,3, Z8}-free Graphs,” Graphs and Combinatorics, 35(2019), 67-89.
- Brandon Kimes, Xiaofeng Wang, Dianlin Li , and Taoye Zhang, “Supereulerian Graphs and Small Matching Number,” International Journal of Mathematics and Statistics, 16(2):26-34, Apr. 2015.
- Hao Li, Ping Li, Mingquan Zhan, Taoye Zhang, and Ju Zhou, “Z3-connectivity in Abelian Cayley graphs”, Discrete Mathematics, 213(2013), 1666-1676.
- Jinlong Shu, Cun-Quan Zhang, and Taoye Zhang, “Flows and parity subgraphs of graphs with large odd-edge-connectivity”, Journal of Combinatorial Theory, Series B, 102(2012), 182-188.
- Xinmin Hou, Hong-Jian Lai, Mingquan Zhan, Taoye Zhang and Ju Zhou, “Z_3 connectivity of 4-edge-connected 2-triangular graphs”, European Journal of Combinatorics, 33(2012), 182-188.
- Taoye Zhang and Ju Zhou, “Second neighborhood of triangle-free digraphs”, Graph Theory Notes of New York, 58(2010), 48-50.
- Rongxia Hao, Yanpei Liu, Taoye Zhang, and Lanshuan Xu, “The genus distributions of 4-regular digraphs”, Australasian Journal of Combinatorics, (2009), 79-90.
- Rongxia Hao, Jianbin Niu, Xiaofeng Wang, Cun-Quan Zhang and Taoye Zhang, “A note on Berge-Fulkerson coloring”, Discrete Mathematics, 309(2009), 4235-4240.
- Xiaofeng Wang, Cun-Quan Zhang, and Taoye Zhang, “Nowhere-zero 4-flow in almost Peterson-minor free graphs”, Discrete Mathematics, 309(2009), 1025-1032.
- Suohai Fan, Hong-Jian Lai, Yehong Shao, Taoye Zhang and Ju Zhou, “Degree sequence and supereulerian graphs”, Discrete Mathematics, 308(2008), 6626-6631.
Education
- M. A., Economics, West Virginia University, Morgantown, WV 26506.
- Ph.D., Mathematics, West Virginia University, Morgantown, WV 26506.
- B.A., Mathematics and Applied Mathematics, University of Science and Technology of China, Hefei, China 230026.
Papers and Presentations
- “Non-supereulerian graphs with matching number at most 4”, presented at the 2022 Conference and workshop on eulerian subgraph and related problems (online), in November, 2022.
- “Hamilonicity of 3-connected Line Graphs with Diameter Three”, presented at the Joint Mathematics Meetings, Denver, CO, in January, 2020.
- “s-Hamiltonian line graphs of claw-free graphs”, presented at 59th Midwest Graph Theory Conference at West Virginia University, Morgantown, WV in April 2018.
- “Pancyclicity of 4-Connected Claw-free Net-free Graphs”, presented at Penn State University Annual Math Faculty Meeting, Penn State University, in April 2017.
- “Pancyclicity of 4-Connected Claw-free Net-free Graphs”, presented at 57th Midwest Graph Theory Conference at Wright State University, Dayton, OH in April 2016.
- “Pancyclicity of 4-Connected Claw-free Net-free Graphs”, presented at Joint Mathematics Meetings in Seattle, WA in January 2016.
- “Group connectivity of Cayley graphs”, presented at Taiyuan workshop on graphs and its applications at Taiyuan Unviersity of Technology, Taiyuan, China in July, 2014.
- “Group connectivity of Abelian Cayley graphs”, presented at 27th Cumberland Conference on
- Combinatorics, Graph Theory & Computing, West Virginia University, Morgantown, WV in May, 2014.
- “Z3-connectivity of 4-edge-connected 2-triangular graphs”, presented at 7th Graph Theory and Combinatorics Conference, Hunan Normal University, Changsha, China, in June 2013.
- “Integer flows of graphs”, Invited one hour talk at Zhengzhou University, Zhengzhou, China in June, 2013.
- “Integer flows of graphs”, Invited one hour talk at Millersville University of Pennsylvania, Millersville, PA in March, 2013.
- “Group connectivity of Abelian Cayley graphs”, presented at 25th Midwest Conference on combinatorics, Cryptography, and Computing, University of Nevada Las Vegas, Las Vegas, NV in October 2011.
- “Group connectivity of Abelian Cayley graphs”, Invited 1 hour talk at University of Science and Technology of China, Hefei, China, in June, 2011.
- “Group connectivity of Abelian Cayley graphs”, Invited one hour talk at Zhengzhou University, Zhengzhou, China in May, 2011.
- “Group connectivity of Abelian Cayley graphs”, presented at 7th Shanghai Conference on Combinatorics in Shanghai Jiaotong University, Shanghai, China, May 2011.
- “Group connectivity of Abelian Cayley graphs”, presented at Graph Theory Day 60 at Fairleigh Dickinson University, November 13, 2010.
- “Second neighborhood of triangle-free digraphs”, presented at 23rd Midwest Conference on Combinatorics, Cryptography, and Compuring, Rochester Institute of Technology, NY, October 3rd and 4th, 2009
- “Small even cuts of graphs”, presented at 22nd Midwest Conference on Combinatorics, Cryptography, and Computing, University of Nevada Las Vegas, Las Vegas, NV, October 22nd, 2008.
- “Nowhere-zero 4-flows in regular matroids”, presented at 46th Midwest Graph Theory Conference, West Virginia University, Morgantown, WV, April 26th, 2008.
- “Odd edge connectivity, parity subgraphs and flows”, presented at 43rd Midwest Graph Theory Conference, Indiana-Purdue University at Fort Wayne, Fort Wayne, IN, November 3rd, 2006.
- “Nowhere-zero 4-flows in almost Peterson-minor free graphs”, presented at 42nd Midwest Graph Theory Conference, Ohio State University Marion Campus, Marion, OH, April 29th, 2006.
- “Excluded minors of nowhere-zero 4-flows”, presented at 41st Midwest Graph Theory Conference, Middle Tennessee State University, Murfreesboro, TN, September 24th, 2005.
Course Schedule
Math 010: Preparation Skills for Success in Mathematics
Math 021: College Algebra I
Math 022: College Algebra II and Analytic Geometry
Math 026: Plane Trigonometry
Math 110: Techniques of Calculus I
Math 140: Calculus with Analytic Geometry I
Math 141: Calculus with Analytic Geometry II
Math 220: Matrices
Math 250: Ordinary Differential Equations
Math 251: Ordinary and Partial Differential Equations