A graph with vertices 1, 2, 3, 4, 5 has adjacency matrix 1. What is the order of the matrix A? order = 2. How many edges does the graph have? answer= 3. Is the graph a pseudograph, a multigraph, or a simple graph? answer= ? 4. What is the degree of vertex v2? degree = 5. What is the degree of vertex v4? degree = 0 1 0 1 0 11000 A= 0 0 0 10 101 00 [00000] E

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Advanced Math

A graph with vertices 01, U₂, U3, U4, US has adjacency matrix
1. What is the order of the matrix A?
order =
2. How many edges does the graph have?
answer=
3. Is the graph a pseudograph, a multigraph, or a simple graph?
answer= ?
4. What is the degree of vertex v2?
degree =
5. What is the degree of vertex v4?
degree:
[0 1 0 1 01
1
1
0
0 0
A=0 0
0
0
1
[00000]
1
1 0
0
0
A
Transcribed Image Text:A graph with vertices 01, U₂, U3, U4, US has adjacency matrix 1. What is the order of the matrix A? order = 2. How many edges does the graph have? answer= 3. Is the graph a pseudograph, a multigraph, or a simple graph? answer= ? 4. What is the degree of vertex v2? degree = 5. What is the degree of vertex v4? degree: [0 1 0 1 01 1 1 0 0 0 A=0 0 0 0 1 [00000] 1 1 0 0 0 A
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