Draft:Cun-Quan Zhang
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Cun-Quan Zhang | |
|---|---|
| Born | August, 1952 |
| Alma mater | Simon Fraser University, |
| Known for | Integer Flows and Cycle Covers |
| Awards | Benedum Distinguished Scholar Award from West Virginia University |
| Scientific career | |
| Fields | Mathematics,Graph Theory |
| Institutions | West Virginia University |
| Thesis | Longest Cycles in Graphs (1986) |
| Doctoral advisor | Brian Alspach |
| Doctoral students | 15 |
Cun-Quan Zhang (born August, 1952) is a mathematician working mainly in graph theory, currently a professor emeritus at the West Virginia University.
Education[edit]
Cun-Quan Zhang was admitted by Simon Fraser University in 1982, earned his Ph.D. (mathematics) in 1986 under the supervision of Prof. Brian Alspach[1].
Biography[edit]
In 1987, Zhang joined the faculty of West Virginia University, where he was promoted to Associate Professor in 1989 and Professor in 1996 and Eberly Distinguished Professor in Mathematics, 2009
He served in Editorial Committees of some journals.
Research[edit]
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 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]. And other major results, [2]
- Nowhere-zero flow. He (collaborated with László M Lovász, Carsten Thomassen, Y. 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 [3] And other major results, [4] [5]
- Hamilton cycle problems for graphs, especially his method of vertex inserting [6]
Awards and honors[edit]
Zhang has won Benedum Distinguished Scholar Award (1997-1998) from West Virginia University and is appointed as Eberly Distinguished Professor of Mathematics in 2009.
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.
- ^ 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 2024-05-22)
{{citation}}: CS1 maint: DOI inactive as of May 2024 (link). - ^ 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.
- Zhang, Cun-Quan (2012). Circuit Double Cover of Graphs. Cambridge University Press. ISBN 978-0-5212-8235-2.
Notes[edit]
External links[edit]
- Cun-Quan Zhang's web page at School of Mathematical and Data Sciences, West Virginia University
- Cun-Quan Zhang on Mathematics Genealogy Project
- Cun-Quan Zhang's publications on DBLP
- Cun-Quan Zhang's publications on MathSciNet
- Cun-Quan Zhang's publications on zbMath
- Cun-Quan Zhang's publications on Orcid
- Cun-Quan Zhang's publications on Google_Scholar
- Cun-Quan Zhang's Books on CiNii
- Cun-Quan Zhang received Benedum Awards at West Virginia University.
- Cun-Quan Zhang was appointed as Eberly Distinguished Professor at West Virginia University