/manager/Index ${session.getAttribute("locale")} 5 Cuntz-Kreiger algebras of infinite graphs and matrices /manager/Repository/uon:1836 Wed 11 Apr 2018 12:01:57 AEST ]]> Sufficient conditions for graphs to be maximally 4-restricted edge connected /manager/Repository/uon:33000 k(G), is defined as the cardinality of a minimum k-restricted edge cut. A connected graph G is said to be λk-connected if G has a k-restricted edge cut. Let ξk(G) = min{|[X, ̅X ]| : |X| = k, G[X] is connected}, where ̅X = V (G)X. A graph G is said to be maximally k-restricted edge connected if λk(G) = ξk(G). In this paper we show that if G is a λ₄-connected graph with λ₄(G) ≤ ξ₄(G) and the girth satisfies g(G) ≥ 8, and there do not exist six vertices u₁, u₂, u₃, v₁, v₂ and v₃ in G such that the distance d(ui, vj) ≥ 3, (1 ≤ i, j ≤ 3), then G is maximally 4-restricted edge connected.]]> Tue 03 Sep 2019 18:17:58 AEST ]]>