1.1.30. Let G be a simple graph with adjacency matrix A and incidence matrix M. Provethat the degree of vi is the ith diagonal entry in A2 and in MMT. What do the entries inposition (i, j) of A2 and MMT say about G?

Let us take that the vertices of G are taken as 1,2,…..,n. Then the ith diagonal entry in A2 is:

Answered: 1.1.30. Let G be a simple graph with…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 69EQ

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1.1.30. Let G be a simple graph with adjacency matrix A and incidence matrix M. Prove that the degree of vi is the ith diagonal entry in A2 and in MMT. What do the entries in position (i, j) of A2 and MMT say about G?