Returnability in complex directed networks (digraphs)
β Scribed by Ernesto Estrada; Naomichi Hatano
- Book ID
- 104037658
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 214 KB
- Volume
- 430
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
## Abstract It is easily shown that every digraph with __m__ edges has a directed cut of size at least __m__/4, and that 1/4 cannot be replaced by any larger constant. We investigate the size of the largest directed cut in __acyclic__ digraphs, and prove a number of related results concerning cuts
## Abstract The directed distance __d__~__D__~(__u, v__) from a vertex __u__ to a vertex __v__ in a strong digraph __D__ is the length of a shortest (directed) __u β v__ path in __D.__ The eccentricity of a vertex __v__ in __D__ is the directed distance from __v__ to a vertex furthest from __v.__ T