Consider the populations of 16 isolated Pacific islands (they do not know theexistence of one another). There is a total of 4096 people on those 16 islands.Consider the social graph G as described in class (i.e. with 4096 vertices) where anedge connects vertices if the persons know each other only.What is the correct statement about L, the graph Laplacian of G?L has no zero eigenvalues.L has exactly 16 eigenvalues of L are zero.L has 256 zero eigenvalues.L has at least 16 eigenvalues of L are zero.

The Laplacian matrix is the difference between the degree matrix and adjacency matrix. For a simple…

Answered: Consider the populations of 16 isolated…

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

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