## Abstract Sufficient conditions on the degrees of a graph are given in order that its line graph have a hamiltonian cycle.
Directed hamiltonian graphs
β Scribed by Yannis Manoussakis
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 386 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We give a new condition involving degrees sufficient for a digraph to be hamiltonian.
π SIMILAR VOLUMES
## Abstract The Hamiltonian path graph __H(G)__ of a graph __G__ is that graph having the same vertex set as __G__ and in which two vertices __u__ and __v__ are adjacent if and only if __G__ contains a Hamiltonian __uβv__ path. A characterization of Hamiltonian graphs isomorphic to their Hamiltonia
## Abstract A group Ξ is said to be color βgraph βhamiltonian if Ξ has a minimal generating set Ξ such that the Cayley color graph __D__~Ξ~(Ξ) is hamiltonian. It is shown that every hamiltonian group is color βgraph βhamiltonian.
Let k β₯ 2 be an integer. A k-factor F of a graph G is called a hamiltonian k-factor if F contains a hamiltonian cycle. In this paper, we shall prove that if G is a graph of order n with k β₯ 2, n β₯ 8k -4, kn even and Ξ΄(G) β₯ n/2, then G has a hamiltonian k-factor.
the smallest integer m for which any graph on n vertices with minimum degree at least m is a k-ordered Hamiltonian graph. In this article, answering a question of Ng and Schultz, we determine
A hamiltonian graph G of order n is k-ordered, 2 β€ k β€ n, if for every sequence v 1 , v 2 , . . . , v k of k distinct vertices of G, there exists a hamiltonian cycle that encounters v 1 , v 2 , . . . , v k in this order. Theorems by Dirac and Ore, presenting sufficient conditions for a graph to be h