A graph with vertices a, b, c, d, e has adjacency matrix 1. What is the order of the graph? order = 5 2. How many edges does the graph have? answer= 5 3. What is the degree of vertex b? degree = 1 4. What is the degree of vertex d? degree = 4 5. Find the edge set of the graph. {(a,b), (a.d), (b.c), (b.d), (c.e)} I A = 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 2 2 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A graph with vertices a, b, c, d, e has adjacency matrix
1. What is the order of the graph?
order = 5
2. How many edges does the graph have?
answer= 5
3. What is the degree of vertex b?
degree = 1
4. What is the degree of vertex d?
degree = 4
5. Find the edge set of the graph.
{(a,b), (a.d), (b.c), (b.d), (c.e)}
I
A =
0
1
0
1 0
0
0
0
0
1
0
1
0
0 0
1 0
0 0
1 0
0
2
2 0
Transcribed Image Text:A graph with vertices a, b, c, d, e has adjacency matrix 1. What is the order of the graph? order = 5 2. How many edges does the graph have? answer= 5 3. What is the degree of vertex b? degree = 1 4. What is the degree of vertex d? degree = 4 5. Find the edge set of the graph. {(a,b), (a.d), (b.c), (b.d), (c.e)} I A = 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 2 2 0
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