𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the size of graphs with all cycle having distinct length

✍ Scribed by Chunhui Lai


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
88 KB
Volume
122
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Bipartite graphs with cycles of all even
✍ Edward Schmeichel; John Mitchem πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 428 KB πŸ‘ 1 views

## Abstract Let __G__ = (__X, Y, E__) be a bipartite graph with __X__ = __Y__ = __n__. ChvΓ‘tal gave a condition on the vertex degrees of __X__ and __Y__ which implies that __G__ contains a Hamiltonian cycle. It is proved here that this condition also implies that __G__ contains cycles of every even

On the distribution of cycle lengths in
✍ A. GyΓ‘rfΓ‘s; J. KomlΓ³s; E. SzemerΓ©di πŸ“‚ Article πŸ“… 1984 πŸ› John Wiley and Sons 🌐 English βš– 843 KB

The set of different cycle lengths of a graph G is denoted by C(G). We study how the distribution of C(G) depends on the minimum degree of G. We prove two results indicating that C(G) is dense in some sense. These results lead to the solution of a conjecture of Erdos and Hajnal stating that for suit

On the length of longest dominating cycl
✍ Hoa Vu Dinh πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 719 KB

Vu Dinh, H., On the length of longest dominating cycles in graphs, Discrete Mathematics 121 (1993) 21 l-222. ## A cycle C in an undirected and simple graph if G contains a dominating cycle. There exists l-tough graph in which no longest cycle is dominating. Moreover, the difference of the length

Maximum packings of the complete graph w
✍ Daniel Horsley πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 86 KB

In this paper we find the maximum number of pairwise edgedisjoint m-cycles which exist in a complete graph with n vertices, for all values of n and m with 3 ≀ m ≀ n.