Let c be the smallest possible value such that every digraph on n vertices with minimum outdegree at least cn contains a directed triangle. It was conjectured by Caccetta and Ha ggkvist in 1978 that c=1Γ3. Recently Bondy showed that c (2 -6&3)Γ5=0.3797... by using some counting arguments. In this no
Directed triangles in directed graphs
β Scribed by M. de Graaf; A. Schrijver; P.D. Seymour
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 212 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
de Graaf, M., A. Schrijver and P.D. Seymour, Directed triangles in directed graphs, Discrete Mathematics 110 (1992) 279-282.
h on n vertices, each with indegree and outdegree at least n/t, contains a directed circuit of length at most
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