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On the number of closed walks in vertex-transitive graphs

✍ Scribed by Robert Jajcay; Aleksander Malnič; Dragan Marušič


Book ID
108113577
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
192 KB
Volume
307
Category
Article
ISSN
0012-365X

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On the Edge Connectivity, Hamiltonicity,
✍ Jan van den Heuvel; Bill Jackson 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 191 KB

Let G be a connected k-regular vertex-transitive graph on n vertices. For S V(G) let d(S) denote the number of edges between S and V(G)"S. We extend results of Mader and Tindell by showing that if d(S)< 2 9 (k+1) 2 for some S V(G) with 1 3 (k+1) |S| 1 2 n, then G has a factor F such that GÂE(F ) is