Highly Influenced

# 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} }

- Published 2007 in Eur. J. Comb.
DOI:10.1016/j.ejc.2006.08.009

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