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
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 ...
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 ...
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 ...
Abstract. We show that k-vertex connected spanning subgraphs of a given graph
... Input: A positive integer k and a k-edge connected graph G. Output: The list of ...
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.
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 ...
Jul 24, 2015 ... k − 1 ≥ δ and k ≥ δ + 1, and our path has at least δ edges. Let i (1 ≤ i ... Proof.
Every connected graph with at least two vertices has an edge.
in a k-connected graph is ⌈kn/2⌉. Proof: min ≥ ⌈kn/2⌉, since k ≤ κ(G) ≤ δ(G)
min ≤ ⌈kn/2⌉; Example: Harary graphs Hk,n. 1. Edge-connectivity. An edge cut