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compute the adjacency matrix, The incidence matrix, and the Laplacian for Grupn c. ●

compute the adjacency matrix, The incidence matrix, and the Laplacian for Grupn c. ●

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Combinatorics, please refer to the graphs, will upvote for correct solution!
GRAPH A: 4 GRAPY B! 4 S Graph C 2 V4 7 S 2 8 3 8 8 V7 I V5 8 + 1 X
Transcribed Image Text:GRAPH A: 4 GRAPY B! 4 S Graph C 2 V4 7 S 2 8 3 8 8 V7 I V5 8 + 1 X
● compute the adjacency for Grupn c. Laplacian matrix, The incidence matrix, and the
Transcribed Image Text:● compute the adjacency for Grupn c. Laplacian matrix, The incidence matrix, and the
Expert Solution
Step 1

What is Matrix representation of Graph:

Every graph has three different matrix representations. These representations are the adjacency matrix, the incidence matrix and the Laplacian matrix. Each matrix is formed based upon the vertices and the edges. The elements of adjacency matrix and the incidence matrix are either 1 or 0. But, in the Laplacian matrix, the degree of each vertex is the diagonal elements. All other elements are either -1 or 0. 

Given:

Given graph is

Advanced Math homework question answer, step 1, image 1

To Determine:

We determine the adjacency matrix, the incidence matrix and the Laplacian matrix.

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