This paper considers the relations between the connectivity x or the edge-connectivity A of a graph and other parameters such as the number of vertices n, maximum degree A, minimum degree 6, diameter D and girth g. The following sufficient conditions for maximally connected graphs are derived. 6fir
Sufficient Conditions for Super-Arc-Strongly Connected Oriented Graphs
β Scribed by Shiying Wang; Jun Yuan; Aixia Liu
- Book ID
- 106047753
- Publisher
- Springer Japan
- Year
- 2008
- Tongue
- English
- Weight
- 127 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0911-0119
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## Abstract Restricted edge connectivity is a more refined network reliability index than edge connectivity. A restricted edge cut __F__ of a connected graph __G__ is an edge cut such that __G__β__F__ has no isolated vertex. The restricted edge connectivity Ξ»β² is the minimum cardinality over all re
## Abstract The restrictedβedgeβconnectivity of a graph __G__, denoted by Ξ»β²(__G__), is defined as the minimum cardinality over all edgeβcuts __S__ of __G__, where __G__β__S__ contains no isolated vertices. The graph __G__ is called Ξ»β²βoptimal, if Ξ»β²(__G__)β=βΞΎ(__G__), where ΞΎ(__G__) is the minimum