On the classification and toughness of generalized permutation star-graphs
β Scribed by Chong-Yun Chao; Shao-cen Han
- Book ID
- 110420218
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 769 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0011-4642
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a graph and let t Υ 0 be a real number. Then, We discuss how the toughness of (spanning) subgraphs of G and related graphs depends on (G), we give some sufficient degree conditions implying that (G) Υ t, and we study which subdivisions of 2-connected graphs have minimally 2-tough squares.
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 GΓE(F ) is