Cun-Quan Zhang
| Cun-Quan Zhang | |
|---|---|
| Born | 1952 |
| 🎓 Alma mater | Simon Fraser University, |
| 💼 Occupation | |
| Known for | Integer Flows and Cycle Covers |
| 🏅 Awards | Benedum Distinguished Scholar Award ad Eberly Distinguished Professorship from West Virginia University |
C. Q. Zhang (full name: Cun-Quan Zhang, born 1952) is a mathematician working mainly in graph theory, currently a professor emeritus at the West Virginia University.
Education
C. Q. Zhang was admitted by Simon Fraser University in 1982, earned his Ph.D. (mathematics) in 1987 under the supervision of Prof. Brian Alspach[1].
Biography
C. Q. Zhang is Eberly Distinguished Professor in Mathematics at West Virginia University,
C. Q. Zhang served as a Managing Editor of The Australasian Journal of Combinatorics.
Research
C. Q. Zhang is known for his work in graph theory, and particularly for some works in the subjects of nowhere-zero flow problems, cycle double cover problems, Hamilton cycle problems: see Zhang's publications on AMS' MATHSCINET and on Google Scholar.
Some major results in Zhang's research include the following:
- Cycle double cover conjecture. He (collaborated with Brian Alspach) proved that every graph without the Petersen minor has a cycle double cover..[1][2][3]
- Nowhere-zero flow. He (collaborated with László M Lovász, Carsten Thomassen, Yezhou Wu) proved that every 6-connected graph admits a nowhere-zero-3-flow, which is the best partial result to Tutte’s 3-flow conjecture[4]. And other major results[5][6].
- Hamilton cycle problems for graphs, especially his method of vertex inserting [7]
Awards and honors
Benedum Distinguished Scholar Award from West Virginia University
Eberly Distinguished Professor of Mathematics at West Virginia University.
Publications
- ↑ Alspach, B.; Zhang, Cun-Quan (1993), "Cycle covers of cubic multigraphs", Discrete Mathematics, 111 (1–3): 11–17, doi:10.1016/0012-365X(93)90135-G.
- ↑ Alspach, B.; Goddyn, L; Zhang, Cun-Quan (1994), "Graphs with the circuit cover property", Transaction of the American Mathematics Society, 344 (1): 131–154, doi:10.2307/2154711, JSTOR 2154711.
- ↑ Lai, H.J.; Zhang, Cun-Quan (2001), "Hamilton weight and Petersen minor", Journal of Graph Theory, 38 (4): 197–219, doi:10.1002/jgt.10003
- ↑ Lovasz, L.M.; Thomassen, C.; Wu, Y.; Zhang, Cun-Quan (2013), "Nowhere-zero 3-flows and generalized Tutte orientations", Journal of Combinatorial Theory (B), 103: 587–598, doi:10.1016/j.jctb.2013.06.003
- ↑ Han, M.; Li, J.; Zhang, Cun-Quan (2018), "Counterexamples to Jaeger's Circular Flow Conjecture", Journal of Combinatorial Theory (B), 131: 1–11, doi:10.1016/j.jctb.2018.01.002
- ↑ Goddyn, L.; Tarsi, M.; Zhang, Cun-Quan (1998), "On (k, d)-Colorings and Fractional Nowhere Zero Flows", Journal of Graph Theory, 28: 155–161, doi:10.1002/(SICI)1097-0118(199807) (inactive 1 November 2024).
- ↑ Zhang, Cun-Quan (1988), "Hamilton cycles in claw-free graphs", Journal of Graph Theory, 12 (2): 209–216, doi:10.1002/jgt.3190120211.
Books
- Zhang, Cun-Quan (1997). Integer Flows and Cycle Covers of Graphs. CRC Press. ISBN 978-0-8247-9790-4. Search this book on
(Also see book review by Bill Jackson[1]) - Zhang, Cun-Quan (2012). Circuit Double Cover of Graphs. Cambridge University Press. ISBN 978-0-5212-8235-2. Search this book on
Notes
- ↑ Jackson, Bill (1999), "INTEGER FLOWS AND CYCLE COVERS OF GRAPHS (Pure and Applied Mathematics 205) By CUN-QUAN ZHANG", Bull London Math Soc, 31 (1): 110–111, doi:10.1112/S0024609397223957.
External links
- C. Q. Zhang's web page at School of Mathematical and Data Sciences, West Virginia University
- C. Q. Zhang on Mathematics Genealogy Project
- C. Q. Zhang's publications on DBLP
- C. Q. Zhang's publications on MathSciNet
- C. Q. Zhang's publications on zbMath
- C. Q. Zhang's publications on Orcid
- C. Q. Zhang's publications on Google_Scholar
- C. Q. Zhang's Books on CiNii
- C. Q. Zhang received Benedum Awards at West Virginia University.
- C. Q. Zhang was appointed as Eberly Distinguished Professor at West Virginia University
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