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The Distance-Regular Graphs of Valency Four

✍ Scribed by A.E. Brouwer; J.H. Koolen


Book ID
110374182
Publisher
Springer
Year
1999
Tongue
English
Weight
128 KB
Volume
10
Category
Article
ISSN
0925-9899

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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