Answer T if the graph or tree exists as described and F if it does not. 1. Connected graph with 9 vertices and 9 edges 2. Circuit free graph with 10 vertices and 10 edges 3. Connected graph with 2 vertices and one edge that's not a tree 4. Forest with 10 vertices and 9 edges

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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1.
Answer T if the graph or tree exists as described and F if it does not.
1. Connected graph with 9 vertices and 9 edges
2. Circuit free graph with 10 vertices and 10 edges
3. Connected graph with 2 vertices and one edge that's not a tree
4. Forest with 10 vertices and 9 edges
2.
Answer T if the graph or tree exists as described and F if it does not.
1. Tree with 10 vertices and 20 edges
2. Graph with 20 vertices and 19 edges, but not a tree
3. Connected graph with 20 vertices, 10 edges, and a circuit
4. Tree with 10 vertices and total degree 18
3.
Given the following adjacency matrix:
ro 1 1 0 0 01
1 0 0 1
1 0 0 0 0
1
0 1 0 0 0
0.
0 10 0
[0 1 0 0 0 o]
with row 1 representing node A, row 2 representing node B, and so forth. Assume node
A is the root node.
What is the height of Node F? Your answer should be an integer:
Transcribed Image Text:1. Answer T if the graph or tree exists as described and F if it does not. 1. Connected graph with 9 vertices and 9 edges 2. Circuit free graph with 10 vertices and 10 edges 3. Connected graph with 2 vertices and one edge that's not a tree 4. Forest with 10 vertices and 9 edges 2. Answer T if the graph or tree exists as described and F if it does not. 1. Tree with 10 vertices and 20 edges 2. Graph with 20 vertices and 19 edges, but not a tree 3. Connected graph with 20 vertices, 10 edges, and a circuit 4. Tree with 10 vertices and total degree 18 3. Given the following adjacency matrix: ro 1 1 0 0 01 1 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0. 0 10 0 [0 1 0 0 0 o] with row 1 representing node A, row 2 representing node B, and so forth. Assume node A is the root node. What is the height of Node F? Your answer should be an integer:
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