Let G=( V, E) be a digraph with diameter D # 1. For a given integer 1 t. The t-distance edge-connectivity of G is defined analogously. This paper studies some results on the distance connectivities of digraphs and bipartite digraphs. These results are given in terms of the parameter I, which can be
On the connectivity of randomm-orientable graphs and digraphs
β Scribed by T. I. Fenner; A. M. Frieze
- Book ID
- 110564470
- Publisher
- Springer-Verlag
- Year
- 1982
- Tongue
- English
- Weight
- 475 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0209-9683
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## Abstract This paper studies the relation between the connectivity and other parameters of a digraph (or graph), namely its order __n__, minimum degree Ξ΄, maximum degree Ξ, diameter __D__, and a new parameter l~pi;~, __0__ β€ Ο β€ Ξ΄ β 2, related with the number of short paths (in the case of graphs
This paper studies the relation between the connectivity and other parameters of a bipartite (di)graph G. Namely, its order n, minimum degree 6, maximum degree A, diameter D, and a new parameter f related to the number of short paths in G. (When G is a bipartite -undirected --graph this parameter tu
Recently, it was proved that if the diameter D of a graph G is small enough in comparison with its girth, then G is maximally connected and that a similar result also holds for digraphs. More precisely, if the diameter D of a digraph G satisfies D 5 21 -1, then G has maximum connectivity ( K = 6 ) .