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 ...
-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
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 ...
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 ...
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 ...
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 ...
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 pro.
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 ...
A graph is k-minimal with respect to some parameter if the removal of any j edges
j<k reduces the value of that parameter by j. For k = 1 this concept is ...
A graph G is said to be minimally k-edge-connected if .1(G) = k and R(G - e) = k -
1 for each edge a of G. An edge cut of a graph G is a subset of E(G) of the form ...