The Chartrand-Schuster conjecture: Graphs with unique distance trees are regular

On a Conjecture of Bannai and Ito: There

On a Conjecture of Bannai and Ito: There are Finitely Many Distance-regular Graphs with Degree 5, 6 or 7

✍ J.H. Koolen; V. Moulton 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 312 KB

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 conject