= (5) Given a graph G (V,E) its complement G is defined to be (V,E) where E = V{2} \ E. That is: a graph on the same vertex-set as G where two vertices are joined in G if and only if they are not joined in G. Prove that if two graphs G₁ & G2 are isomorphic, then their complements G₁ & G2 are isomorphic.

= (5) Given a graph G (V,E) its complement G is defined to be (V,E) where E = V{2} \ E. That is: a graph on the same vertex-set as G where two vertices are joined in G if and only if they are not joined in G. Prove that if two graphs G₁ & G2 are isomorphic, then their complements G₁ & G2 are isomorphic.

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

Problem 36EQ

See similar textbooks