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## k-edge-connected graph - Wikipedia

en.wikipedia.org/wiki/K-edge-connected_graph

In graph theory, a connected graph is k-edge-connected if it remains connected whenever fewer than k edges are removed. The edge-connectivity of a graph is ...

## k-Edge-Connected Graph -- from Wolfram MathWorld

mathworld.wolfram.com/k-Edge-ConnectedGraph.html

-edge-connected if there does not exist a set of k-1 edges whose removal disconnects the graph (Skiena 1990, p. 177). The maximum edge connectivity of a ...

## Chapter 5 Connectivity

www-sop.inria.fr/members/Frederic.Havet/Cours/connectivity.pdf

The connectivity of G, denoted by K(G), is the maximum integer k such that G is k- connected. Similarly, a graph is k-edge connected if it has at least two vertices ...

## Lecture 13 1 Global Min-Cut and Edge-Connectivity - Stanford CS ...

theory.stanford.edu/~trevisan/cs261/lecture13.pdf

Feb 17, 2011 ... 1 Global Min-Cut and Edge-Connectivity. Definition 1 (Edge connectivity) We say that an undirected graph is k-edge-connected if one needs to ...

## Lecture 19 1 k-edge-connectivity

math.mit.edu/~goemans/18438F09/lec17.pdf

Nov 12, 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.

## A Simple Algorithm for Finding All k-Edge-Connected ... - Plos

journals.plos.org/plosone/article?id=10.1371/journal.pone.0136264

Fig 3 depicts the k-edge-connected components of the graph in Fig 2 for k ∈ {1, 2 , 3} (note that for h > 3, the collection of ...

## k-edge-connected graph problem - Mathematics Stack Exchange

math.stackexchange.com/questions/265812/k-edge-connected-graph-problem

Dec 27, 2012 ... Prove or disprove: If G is a k-edge-connected graph with nonempty disjoint subsets S 1 and S 2 of V ( G ) , then there exist k edge-disjoint paths ...

## k-edge-connected graph- proof - Mathematics Stack Exchange

math.stackexchange.com/questions/167881/k-edge-connected-graph-proof

Jul 7, 2012 ... Call a graph k-edge connected iff for every set X of fewer than k edges, G | X is connected. Prove that every 2-edge connected graph has a ...

## On minimally k-edge-connected graphs and shortest ... - ScienceDirect

www.sciencedirect.com/science/article/pii/S0166218X02004651

Abstract. 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 ...

## A Simple Algorithm for Finding All k-Edge-Connected ... - NCBI

www.ncbi.nlm.nih.gov/pmc/articles/PMC4569431/

Fig 3 depicts the k-edge-connected components of the graph in Fig 2 for k ∈ {1, 2 , 3} (note that for h > 3, the collection of ...