On the exponent of a primitive, minimally strong digraph
โ Scribed by Yang Shangjun; George P. Barker
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 960 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we determine the maximum number of &ges that a strong digraph can have if it has a unique minimally stroug subdigraph. We show that this number equais lrils = I)/2 + 1. Furthermore we show that there is, &to an isomorphism, a unique strong &graph which attains this maximum.
## Abstract In this paper the conjecture on the __k__th upper multiexponent of primitive matrices proposed by R.A. Brualdi and Liu are completely proved.
In this paper we present the upper and lower bounds of the longest directed cycle length for minimal strr,ng digraphs in terms of the numbers of vertices and arcs. These bounds are both sharp. In addition, we give analogous results for minimal 2-edge connected graphs.