[PDF] k-Connectivity PDF connectivity.pdf

Removing fewer than k edges does not disconnect the graph (We say that every graph is 0-edge-connected ) Definition: The edge connectivity of G (denoted

vertices and edges of G, respectively We allow repetition of vertices (but not edges) in a path and cycle Mader [3] conjectured, If G is a k-edge-connected graph

[PDF] On minimally k-edge-connected graphs and shortest k-edge - CORE

A graph G = (V; E) is called minimally (k; T)-edge-connected with respect to some T ⊆ V if there exist k-edge-disjoint paths between every pair u; v ∈ T but this

[PDF] Chapter 5 Connectivity

k-connected Similarly, a graph is k-edge connected if it has at least two vertices and no set of k −1 edges is a separator The edge-connectivity of G, denoted by

[PDF] On critically k-edge-connected graphs - The Australasian Journal of

Western Australia Abstract: Let G be a simple graph on n vertices having edge- connectivity /( ' (G) > a and minimum degree o(G) We say G is k-critical if /(

[PDF] Lecture 19 1 k-edge-connectivity

12 nov 2009 · Lemma 2 Every minimally k-edge-connected graph G = (V,E) has a vertex of degree k Proof: Let S ⊆ V be minimal such that d(S) := δ(S) = k

[PDF] Lecture 8: August 19 81 k Arc Connectivity - CSE, IIT Delhi

Figure 8 1: Example of a 2 arc connected graph We prove the following theorem Theorem 8 1 G is 2k edge connected ⇔ there exists an orientation of G that is k

[PDF] Lecture 8: August 19 81 k Arc Connectivity - CSE, IIT Delhi

Figure 8 1: Example of a 2 arc connected graph We prove the following theorem Theorem 8 1 G is 2k edge connected ⇔ there exists an orientation of G that is k