## Abstract The restricted‐edge‐connectivity of a graph __G__, denoted by λ′(__G__), is defined as the minimum cardinality over all edge‐cuts __S__ of __G__, where __G__‐__S__ contains no isolated vertices. The graph __G__ is called λ′‐optimal, if λ′(__G__) = ξ(__G__), where ξ(__G__) is the minimum
Sufficient conditions for graphs to be λ′-optimal and super-λ′
✍ Scribed by Li Shang; Heping Zhang
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 200 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0028-3045
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## Abstract For a connected graph the restricted edge‐connectivity λ′(__G__) is defined as the minimum cardinality of an edge‐cut over all edge‐cuts __S__ such that there are no isolated vertices in __G__–__S__. A graph __G__ is said to be λ′‐optimal if λ′(__G__) = ξ(__G__), where ξ(__G__) is the m
## 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__‐__F__ has no isolated vertex. The restricted edge connectivity λ′ is the minimum cardinality over all re
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## Abstract Restricted edge connectivity is a more refined network reliability index than edge connectivity. For a connected graph __G__ = (__V__, __E__), an edge set __S__ ⊆ __E__ is a restricted edge cut if __G__ − __S__ is disconnected and every component of __G__ − __S__ has at least two vertic