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- W2567705488 abstract "Let G=(V, E) be a connected graph. An edge set S⊂C E is a 3-restricted-edge-cut, if G-S is disconnected and every component of G-S has at least three vertices. The 3-restricted-edge-connectivity λ3 (G) of G is the cardinality of a minimum 3-restricted-edge-cut of G. A graph C is λ3-connected, if 3-restricted-edge-cuts exist. A graph G is called λ3-optimal, if λ3(G)=ξ3(G), where ξ3(G)=min{|[U,Ū]|: U⊂V |U|=3 and G[U] is connected}. G [U] is the subgraph of G induced by the vertex subset U⊆V, and Ū=VU is the complement of U. [U, Ū] is the set of edges with one end in U and the other in Ū. In this paper, we give some sufficient conditions for triangle-free graphs to be λ3-optimal." @default.
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- W2567705488 date "2008-12-01" @default.
- W2567705488 modified "2023-09-27" @default.
- W2567705488 title "Sufficient Conditions for λ3-Optimality of Triangle-Free Graphs" @default.
- W2567705488 hasPublicationYear "2008" @default.
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