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 ...
www-sop.inria.fr/members/Frederic.Havet/Cours/connectivity.pdf
Similarly, adding a new vertex of degree k to a k-edge-connected graph yields a
... vertex x adjacent to at least k vertices of G, then G is k-edge-connected.
journals.plos.org/plosone/article?id=10.1371/journal.pone.0136264
It is well-known that the set of k-edge-connected components (k ≥ 1) is a
partition of V. Moreover, each k-edge-connected ...
www.sciencedirect.com/science/article/pii/0095895688900779
We prove (i) if G is a 2k-edge-connected graph (k≥2), s, t are vertices, and f1, f2,
g are edges with fi ≠ g (i=1, 2), then there exists a cycle C passing through f1 ...
www.ncbi.nlm.nih.gov/pmc/articles/PMC4569431/
Sep 14, 2015 ... The problem of finding k-edge-connected components is a fundamental problem
in computer science. Given a graph G = (V, E), the problem is ...
www.cs.rpi.edu/~goldberg/15-GT/07-connectivity.pdf
A separating set or vertex cut of a connected graph G is a set. S ⊂ V (G) such ... A
connected graph G is called k-edge-connected if every discon- necting edge ...
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 ...
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 ...
math.stackexchange.com/questions/1751046/a-connected-graph-g-is-k-edge-connected-iff-each-block-of-g-is-k-edge
Apr 20, 2016 ... A graph G is k -edge-connected if every disconnecting set of edges (i.e. edge set
D such that G ′ = ( V , E ∖ D ) is disconnected) has at least k ...
www.personal.kent.edu/~rmuhamma/GraphTheory/MyGraphTheory/connectivity.htm
The edge-connectivity λ(G) of a connected graph G is the smallest number of
edges whose removal disconnects G. When λ(G) ≥ k, the graph G is said to be ...