Connectivity of consecutive-d digraphs
β Scribed by D.-Z Du; D.F Hsu; G.W Peck
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 920 KB
- Volume
- 37-38
- Category
- Article
- ISSN
- 0166-218X
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π SIMILAR VOLUMES
An explicit expression is derived for the connectivity of circulant digraphs.
## Abstract It is shown that every __k__βconnected locally semicomplete digraph __D__ with minimum outdegree at least 2__k__ and minimum indegree at least 2__k__ β 2 has at least __m__ = max{2, __k__} vertices __x__~1~, __x__~2~, β, __x__~__m__~ such that __D__ β __x__~__i__~ is __k__βconnected for
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