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On Isoperimetric Connectivity in Vertex-Transitive Graphs

✍ Scribed by Hamidoune, Y. O.; Lladó, A. S.; Serra, O.; Tindell, R.


Book ID
118198123
Publisher
Society for Industrial and Applied Mathematics
Year
2000
Tongue
English
Weight
241 KB
Volume
13
Category
Article
ISSN
0895-4801

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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