Cun-Quan Zhang
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| 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[edit]
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[edit]
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[edit]
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[edit]
Benedum Distinguished Scholar Award from West Virginia University
Eberly Distinguished Professor of Mathematics at West Virginia University.
Publications[edit]
- ↑ 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[edit]
- 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[edit]
- ↑ 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[edit]
- 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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