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Distance-Regular Graphs withci=bd-iand Antipodal Double Covers

✍ Scribed by Makoto Araya; Akira Hiraki

Book ID
110266171
Publisher
Springer
Year
1998
Tongue
English
Weight
227 KB
Volume
8
Category
Article
ISSN
0925-9899

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πŸ“œ SIMILAR VOLUMES

Distance-Regular Graphs withbt=1 and Ant
Distance-Regular Graphs withbt=1 and Antipodal Double-Covers
✍ Makoto Araya; Akira Hiraki; Aleksandar JuriΕ‘iΔ‡ πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 239 KB

Let 1 be a distance-regular graph of diameter d and valency k>2. If b t =1 and 2t d, then 1 is an antipodal double-cover. Consequently, if f >2 is the multiplicity of an eigenvalue of the adjacency matrix of 1 and if 1 is not an antipodal doublecover then d 2f&3. This result is an improvement of God

Distance-regular Graphs with b2=1 and An
Distance-regular Graphs with b2=1 and Antipodal Covers
✍ 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] .