[PDF] k-Connectivity
31 k-Connectivity Definition: G is k-connected if • V(G) > k, and • Removing fewer than k vertices does not disconnect the graph (We will say that every graph is 0-connected ) Definition: The connectivity of G (denoted κ(G) = “kappa”) is the maximum k such that G is k-connected
[PDF] Chapter 5 Connectivity
Similarly, a graph is k-edge connected if it has at least two vertices and no set For 2-edge-connected graphs, there is a structural theorem similar to Theorem
[PDF] 42 k-connected graphs
4 2 k-connected graphs This copyrighted material is taken from Introduction to Graph Theory, 2nd Ed , by Doug West; and is not for further distribution
[PDF] Minimally 3-Connected Graphs* - CORE
DEFINITION A k-connected graph G is minimally k-connected (mkc) if it has no proper spanning k-connected subgraph Minimally k-connected graphs have
[PDF] Cycles and Paths through Specified Vertices in k-Connected Graphs
Let G be a k-connected graph with minimum degree d and at least 2d vertices Then G graphs of connectivity k which contain a set X of k + 1 vertices with no
[PDF] The k-Connected subgraph Problem 21 Introduction
In the related edge-connectivity problem k-Edge-Inconnected Subgraph the paths are required only to be edge disjoint For directed graphs, these problems can
The decomposition of graphs into k-connected - ScienceDirectcom
with multiple edges allowed This method leads to efficient sequential algorithms for a lot of graph problems at least on those graphs, whose k-connected
Minimally 3-Connected Graphs* - ScienceDirectcom
DEFINITION A k-connected graph G is minimally k-connected (mkc) if it has no proper spanning k-connected subgraph Minimally k-connected graphs have
Critically $n$-Connected Graphs - JSTOR
Analogously, a graph G is minimally n- connected if K(G)=n and for each edge e of G, K(G-e)=n- 1 The object of this article is to present a necessary condition for a
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