A set of vertices in a graph G = (V,E) is independent if no two of them are adjacent. Let G = (V,E) be an undirected graph with subset I of V an independent set. Let the degree of each vertex in V be at least 2. Also let |E| - E a ɛl deg(a) + 2 ||| < |V| Can G have a Hamiltonian cycle? %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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A set of vertices in a graph G = (V,E) is independent if no two of
them are adjacent. Let G = (V,E) be an undirected graph with
subset I of V an independent set. Let the degree of each vertex
in V be at least 2. Also let |E| - E a ɛl deg(a) + 2 ||| < |V| Can G
have a Hamiltonian cycle?
%3D
Transcribed Image Text:A set of vertices in a graph G = (V,E) is independent if no two of them are adjacent. Let G = (V,E) be an undirected graph with subset I of V an independent set. Let the degree of each vertex in V be at least 2. Also let |E| - E a ɛl deg(a) + 2 ||| < |V| Can G have a Hamiltonian cycle? %3D
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