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- W2182184069 abstract "If D is a strongly connected digraph, then an arc set S of D is called a restricted arc-cut of D if D − S has a non-trivial strong component D1 such that D − V (D1) contains an arc. Recently, Volkmann [12] defined the restricted arc-connectivity � ′ (D) as the minimum cardinality over all restricted arc-cuts S. A strongly connected digraph D is called � ′ connected when � ′ (D) exists. Let k ≥ 2 be an integer. An arc set S of D is a k-restricted arc-cut of D if D − S contains at least k non-trivial strong components. Volkmann [Inform. Process. Lett. 103 (2007), 234– 239] also defined the k-restricted arc-connectivity � ′(D) as the minimum cardinality over all k-restricted arc-cuts S. A strongly connected digraph D is called � ′-connected when � ′(D) exists. In this paper we characterize all � ′ -connected tournaments, multipartite tournaments, local tournaments and in-tournaments. In addition, we determine the � ′ -connected tournaments and local tournaments." @default.
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- W2182184069 date "2008-01-01" @default.
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- W2182184069 title "Restricted arc-connectivity of generalized tournaments" @default.
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