Calculate the adjacency matrix for this graph

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Calculate the adjacency matrix for this graph

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Transcribed Image Text:A B с D E
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Step 1

What is Adjacency Matrix:

An adjacency matrix is just a square matrix used to describe a finite network in graph theory. The matrix's elements indicate whether or not a finite number of vertices, also known as nodes, have neighbouring pairings. Networks are expressed using nodes and edges in graph representation, where nodes are the vertices and edges are the finite set of ordered pairs. If the simple graph doesn't include any self-loops, then the diagonal of the vertex matrix should contain zeros. Regarding the undirected graph, it is symmetric.

Given:

Given graph is, 

Advanced Math homework question answer, step 1, image 1

To Determine:

We determine the adjacency matrix of given graph.

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