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On the connectivity of -diamond-free vertex transitive graphs

✍ Scribed by Yingzhi Tian; Jixiang Meng; Zhao Zhang


Book ID
113564739
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
228 KB
Volume
160
Category
Article
ISSN
0166-218X

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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 GΓ‚E(F ) is