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A neighborhood condition for graphs to be maximally k-restricted edge connected

✍ Scribed by Shiying Wang; Lei Zhang; Shangwei Lin

Book ID
113663272
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
140 KB
Volume
112
Category
Article
ISSN
0020-0190

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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__ βŠ† __E__ is a restricted edge cut if __G__ βˆ’ __S__ is disconnected and every component of __G__ βˆ’ __S__ has at least two vertic

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## Abstract The restricted‐edge‐connectivity of a graph __G__, denoted by Ξ»β€²(__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 Ξ»β€²(__G__) = ξ(__G__), where ΞΎ(__G__) is the minimum