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On distance-regular graphs with fixed valency, II

✍ Scribed by Eiichi Bannai; Tatsuro Ito


Book ID
105329654
Publisher
Springer Japan
Year
1988
Tongue
English
Weight
419 KB
Volume
4
Category
Article
ISSN
0911-0119

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Valency of Distance-regular Antipodal Gr
✍ Ε tefko Miklavič πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 141 KB

Let G be a non-bipartite strongly regular graph on n vertices of valency k. We prove that if G has a distance-regular antipodal cover of diameter 4, then k ≀ 2(n + 1)/5 , unless G is the complement of triangular graph T (7), the folded Johnson graph J (8, 4) or the folded halved 8-cube. However, for