About this Journal Submit a Manuscript Table of Contents
Journal of Discrete Mathematics
Volume 2013 (2013), Article ID 140537, 4 pages
http://dx.doi.org/10.1155/2013/140537
Research Article

(0, 2)-Graphs and Root Systems

1Department of Mathematics, Technical University Eindhoven, Eindhoven, The Netherlands
2The University of Georgia, Athens, GA, USA

Received 7 August 2012; Accepted 18 October 2012

Academic Editor: Zhan Zhou

Copyright © 2013 Andries E. Brouwer and Leonard Chastkofsky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. N. Bourbaki, Groupes et Algébres de Lie, chapter 4–6, Masson, Paris, France, 1981. View at Zentralblatt MATH · View at MathSciNet
  2. A. E. Brouwer, “Classification of small (0,2)-graphs,” Journal of Combinatorial Theory A, vol. 113, no. 8, pp. 1636–1645, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  3. A. E. Brouwer, “Rectagraphs from root systems,” http://www.win.tue.nl/~aeb/graphs/recta/weyl02.html.
  4. A. E. Brouwer, A. M. Cohen, and A. Neumaier, Distance-Regular Graphs, Springer, Berlin, Germany, 1989. View at MathSciNet
  5. A. E. Brouwer and P. R. J. Östergård, “Classifcation of the (0,2)-graphs of valency 8,” Discrete Mathematics, vol. 309, no. 3, pp. 532–547, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  6. R. W. Carter, Simple Groups of Lie Type, John Wiley & Sons, London, UK, 1972. View at MathSciNet
  7. A. M. Cohen and J. Tits, “On generalized hexagons and a near octagon whose lines have three points,” European Journal of Combinatorics, vol. 6, no. 1, pp. 13–27, 1985. View at Zentralblatt MATH · View at MathSciNet
  8. D. R. Hughes, “Biplanes and semi-biplanes,” in Combinatorial Mathematics, vol. 686 of Lecture Notes in Mathematics, pp. 55–58, Springer, Berlin, Germany, 1978, Proceedings of the International Conference on Combinatorics, Graph Theory, and Computing, Australian National University, Canberra, Australia, 1977. View at Zentralblatt MATH · View at MathSciNet
  9. B. Kostant, “Lie algebra cohomology and the generalized Borel-Weil theorem,” Annals of Mathematics, vol. 74, pp. 329–387, 1961. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. M. Mulder, “(0, λ)-graphs and n-cubes,” Discrete Mathematics, vol. 28, no. 2, pp. 179–188, 1979. View at Publisher · View at Google Scholar · View at MathSciNet
  11. A. Neumaier, “Rectagraphs, diagrams, and Suzuki's sporadic simple group,” Annals of Discrete Mathematics, vol. 15, pp. 305–318, 1982. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet