Two theorems concerning the Bannai-Ito conjecture

@article{Bang2007TwoTC,
  title={Two theorems concerning the Bannai-Ito conjecture},
  author={Sejeong Bang and Jacobus H. Koolen and Vincent Moulton},
  journal={Eur. J. Comb.},
  year={2007},
  volume={28},
  pages={2026-2052}
}
In 1984 Bannai and Ito conjectured that there are finitely many distance-regular graphs with fixed valencies greater than two. In a series of papers, they showed that this is the case for valency 3 and 4, and also for the class of bipartite distance-regular graphs. To prove their result, they used a theorem concerning the intersection array of a triangle-free distance-regular graph, a theorem that was subsequently generalized in 1994 by Suzuki to distance-regular graphs whose intersection… CONTINUE READING