✦ LIBER ✦
On a Conjecture of Bannai and Ito: There are Finitely Many Distance-regular Graphs with Degree 5, 6 or 7
✍ Scribed by J.H. Koolen; V. Moulton
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 312 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
✦ Synopsis
Bannai and Ito conjectured in a 1987 paper that there are finitely many distance-regular graphs with fixed degree that is greater than two. In a series of papers they showed that their conjecture held for distance-regular graphs with degrees 3 or 4. In this paper we prove that the Bannai-Ito conjecture holds for degrees 5-7.