May 7, 2009 · Halin showed that every edge minimal, k-vertex connected graph has a vertex of degree k. In this note, we prove the analogue to Halin's theorem ...
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Let k be a positive integer and D = (V; E) be a minimally k-edge-connected simple digraph. For a vertex x ∈ V(D), its outdegree +(x) (indegree −(x)) is the ...
Let k be a positive integer and D=(V,E) be a minimally k -edge-connected simple digraph. For a vertex x∈V(D) , its outdegree δ + (x) (indegree δ − (x) ) is ...
PDF | Halin showed that every edge minimal, k-vertex connected graph has a vertex of degree k. In this note, we prove the analogue to Halin's theorem.
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Mar 20, 2019 · Suppose G=(V,E) is minimally k edge connected, meaning ∀e∈E, G−e is less than k edge connected. I want to show the minimum degree of the graph is k.
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Carl Kingsford and Guillaume Marçais (2009) Vertices of degree k in edge-minimal, k-edge-connected graphs. ArXiv Preprint ArXiv:0905.1064.
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Let k be a positive integer, and D = (V(D), E(D)) be a minimally k-edge-connected simple digraph. We denote the outdegree and indegree of x ∈ V(D) by δD(x) ...
Let G be a minimally k-edge-connected simple graph and u*(G) be the number of vertices of degree k in G. Mader (1974) proved that (i) uk(G) 2 l(jGl - 1)/(2k ...
May 7, 2009 · Halin showed that every edge minimal, k-vertex connected graph has a vertex of degree k. In this note, we prove the analogue to Halin's ...
Missing: digraph. | Show results with:digraph.
Jul 24, 2024 · Let k be a positive integer, and D=(V(D),E(D)) be a minimally k-arc-connected simple digraph. Mader conjectured (Combinatorics 2 (1996) 423-449) ...