An explicit expression is derived for the connectivity of circulant digraphs.
Connectivity in digraphs
✍ Scribed by L Lovász
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 185 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0095-8956
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📜 SIMILAR VOLUMES
Let G = ( V , A ) be a digraph with diameter D # 1. For a given integer 2 5 t 5 D , the t-distance connectivity K ( t ) of G is the minimum cardinality of an z --+ y separating set over all the pairs of vertices z, y which are a t distance d(z, y) 2 t. The t-distance edge connectivity X ( t ) of G i
This paper introduces a new parameter / = / ( G ) for a loopless digraph G, which can be thought of as a generalization of the girth of a graph. Let K, A, 6, and D denote respectively the connectivity, arc-connectivity, minimum degree, and diameter of G. Then it is proved that A = 6 if D s 21 and K
## Abstract It is shown that every __k__‐connected locally semicomplete digraph __D__ with minimum outdegree at least 2__k__ and minimum indegree at least 2__k__ − 2 has at least __m__ = max{2, __k__} vertices __x__~1~, __x__~2~, ⃛, __x__~__m__~ such that __D__ − __x__~__i__~ is __k__‐connected for