Panpositionable hamiltonicity of the alternating group graphs
β Scribed by Yuan-Hsiang Teng; Jimmy J.M. Tan; Lih-Hsing Hsu
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 352 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let C be a conjugacy class in the alternating group A n , and let supp(C) be the number of nonfixed digits under the action of a permutation in C. For every 1>$>0 and n 5 there exists a constant c=c($)>0 such that if supp(C) $n then the undirected Cayley graph X(A n , C) is a c expander. A family of
## Abstract In this paper the concepts of Hamilton cycle (HC) and Hamilton path (HP) extendability are introduced. A connected graph Ξ is __n__β__HCβextendable__ if it contains a path of length __n__ and if every such path is contained in some Hamilton cycle of Ξ. Similarly, Ξ is __weakly n__β__HPβ
## Abstract The topological approach to the study of infinite graphs of Diestel and KΓhn has enabled several results on Hamilton cycles in finite graphs to be extended to locally finite graphs. We consider the result that the line graph of a finite 4βedgeβconnected graph is hamiltonian. We prove a
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