Key Words: graph connectivity, vertex–connectivity, edge–connectivity, Wiener index; extremal graphs 1 Introduction Let G be a connected graph whose
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[PDF] Chapter 5 Connectivity
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 K (G),
[PDF] ON FINDING THE VERTEX CONNECTIVITY OF GRAPHS - CORE
Vertex connectivity,'Graph algorithm, Network flows passes through at least one vertex of S Clearly if a and b are connected by an edge, no (a,b)
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vertex-connected is called its vertex connectivity, κ(G) 1 So, for the complete graph Kn, κ(Kn) = n−1 Also, κ(G)=0iff G is already disconnected or it is
[PDF] Math 38 - Graph Theory Vertex cut, connectivity, covers Nadia
6 mai 2020 · If G is a graph without isolated vertices and n vertices in total, then The connectivity of a connected graph is at most its minimum
[PDF] Connectivity 1 - Ma/CS 6b
if > and we cannot obtain a non-connected graph by removing − 1 vertices from Is the graph in the figure ◦ 1-connected? Yes ◦ 2-
[PDF] A New Perspective on Vertex Connectivity - Research MIT CSAIL
An essential tool in capturing edge connectivity are the classical results of Tutte and Nash-Williams from 1961 which show that a λ-edge- connected graph
[PDF] A bstrac t The graphs with a given number n of vertices and - EMIS
Key Words: graph connectivity, vertex–connectivity, edge–connectivity, Wiener index; extremal graphs 1 Introduction Let G be a connected graph whose
Eigenvalues and edge-connectivity of regular graphs - ScienceDirect
Theorem 1 1 (Kirkland–Molitierno–Neumann–Shader [12]) Let G be a non-complete connected graph on n vertices Then κ(G) = μ2(G) if and only if G
The average connectivity of a graph - ScienceDirectcom
Menger's classical theorem tells us that in a k-connected graph, every pair of vertices are joined by k internally disjoint paths
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