A graph with vertices V₁, V2, V3, V4, v5 has adjacency matrix [0 1 0 1 0 1 1 0 0 0 00 0 1 0 1. What is the order of the matrix A? order 5 2. How many edges does the graph have? answer = 11 V 4. What is the degree of vertex v2? degree = A 5. What is the degree of vertex v4? = 3. Is the graph a pseudograph, a multigraph, or a simple graph? answer= pseudograph 0 102 0002 0 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A graph with vertices V₁, V2, V3, V4, v5 has adjacency matrix
[0
1
0 1 0
1 1 0 0 0
00 0 1
0
1. What is the order of the matrix A?
order 5
2. How many edges does the graph have?
answer = 11
V
4. What is the degree of vertex v2?
degree =
A
5. What is the degree of vertex v4?
degree =
=
3. Is the graph a pseudograph, a multigraph, or a simple graph?
answer= pseudograph
0 102
0002 0
1
Transcribed Image Text:A graph with vertices V₁, V2, V3, V4, v5 has adjacency matrix [0 1 0 1 0 1 1 0 0 0 00 0 1 0 1. What is the order of the matrix A? order 5 2. How many edges does the graph have? answer = 11 V 4. What is the degree of vertex v2? degree = A 5. What is the degree of vertex v4? degree = = 3. Is the graph a pseudograph, a multigraph, or a simple graph? answer= pseudograph 0 102 0002 0 1
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