3. a. Define the following with an example; i. paths ii. simple graph 3 21 b.Draw the graph with the adjacency matrix 1 1 1 with 2 respect to the 1 12 1 2 ordering of vertices, a, b, c, d. i. Find the degree of each vertex in your graph from part (a) above. ii. How many walks of length 2 are there from the vertex c to c? How many of these walks are paths?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. a. Define the following with an example;
i. paths
ii. simple graph
го
3
2-
1
1
1
b.Draw the graph with the adjacency matrix
1
with respect to the
2
1
2
ordering of vertices, a, b, c, d.
i. Find the degree of each vertex in your graph from part (a) above.
ii. How many walks of length 2 are there from the vertex c to c? How many
of these walks are paths?
으30 2
Transcribed Image Text:3. a. Define the following with an example; i. paths ii. simple graph го 3 2- 1 1 1 b.Draw the graph with the adjacency matrix 1 with respect to the 2 1 2 ordering of vertices, a, b, c, d. i. Find the degree of each vertex in your graph from part (a) above. ii. How many walks of length 2 are there from the vertex c to c? How many of these walks are paths? 으30 2
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