On the size of graphs with all cycle having distinct length
β 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.
π SIMILAR VOLUMES
## 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
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
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
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 β€ m β€ n.