
The extension to root systems of a theorem on tournaments
Publication
, Journal Article
Calderbank, AR; Hanlon, P
Published in: Journal of Combinatorial Theory Series A
January 1, 1986
M. G. Kendall and B. Babington-Smith proved that if a tournament p′ is obtained from a tournament p by reversing the edges of a 3-cycle then p and p′ contain the same number of 3-cycles. This theorem is the basis of a cancellation argument used by D. Zeilberer and D. M. Bressoud in their recent proof of the q-analog of Dyson's conjecture. The theorem may be restated in terms of the root system A
Duke Scholars
Published In
Journal of Combinatorial Theory Series A
DOI
EISSN
1096-0899
ISSN
0097-3165
Publication Date
January 1, 1986
Volume
41
Issue
2
Start / End Page
228 / 245
Related Subject Headings
- Computation Theory & Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Calderbank, A. R., & Hanlon, P. (1986). The extension to root systems of a theorem on tournaments. Journal of Combinatorial Theory Series A, 41(2), 228–245. https://doi.org/10.1016/0097-3165(86)90082-8
Calderbank, A. R., and P. Hanlon. “The extension to root systems of a theorem on tournaments.” Journal of Combinatorial Theory Series A 41, no. 2 (January 1, 1986): 228–45. https://doi.org/10.1016/0097-3165(86)90082-8.
Calderbank AR, Hanlon P. The extension to root systems of a theorem on tournaments. Journal of Combinatorial Theory Series A. 1986 Jan 1;41(2):228–45.
Calderbank, A. R., and P. Hanlon. “The extension to root systems of a theorem on tournaments.” Journal of Combinatorial Theory Series A, vol. 41, no. 2, Jan. 1986, pp. 228–45. Scopus, doi:10.1016/0097-3165(86)90082-8.
Calderbank AR, Hanlon P. The extension to root systems of a theorem on tournaments. Journal of Combinatorial Theory Series A. 1986 Jan 1;41(2):228–245.

Published In
Journal of Combinatorial Theory Series A
DOI
EISSN
1096-0899
ISSN
0097-3165
Publication Date
January 1, 1986
Volume
41
Issue
2
Start / End Page
228 / 245
Related Subject Headings
- Computation Theory & Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0101 Pure Mathematics