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Distance-biregular graphs with 2-valent vertices and distance-regular line graphs

✍ Scribed by Bojan Mohar; John Shawe-Taylor


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
525 KB
Volume
38
Category
Article
ISSN
0095-8956

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Distance-regular Graphs with b2=1 and An
✍ Makoto Araya; Akira Hiraki; Aleksandar JurisiΔ‡ πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 234 KB

We show that a distance-regular graph of valency k ΟΎ 2 is antipodal , if b 2 Ο­ 1 . This answers Problem (i) on p . 182 of Brouwer , Cohen and Neumaier [4] .

On a Conjecture of Bannai and Ito: There
✍ J.H. Koolen; V. Moulton πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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