Let G be a graph on vertices v1,..., V12 with the following adjacency matrix: 0 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 Use the connectedness algorithm to determine the connected component of v₁. State whether or not G is connected and write down all its connected components. We can extend the notion of a bridge from the lecture notes to mean an edge whose removal causes the number of connected components to increase. Does G contain any bridges in this sense? List them all if so.
Let G be a graph on vertices v1,..., V12 with the following adjacency matrix: 0 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 Use the connectedness algorithm to determine the connected component of v₁. State whether or not G is connected and write down all its connected components. We can extend the notion of a bridge from the lecture notes to mean an edge whose removal causes the number of connected components to increase. Does G contain any bridges in this sense? List them all if so.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let G be a graph on vertices v1,..., V12 with the following adjacency matrix:
0
1
1
1
1
0
0
0 0
0
0
0
1
0
1
1
1
0
0
0
0
0
0 0
1
1
0
1
1
0
0
0
0
0
0
0
1
1
1
0
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
0
0
1
0 0
0
0
0
0
1
1
0 0
0
0
0
0
0
1
0
0
0
0
0 0
0
0 0 0
0
0
0
1
0
0
0
0
0
0 0 0 0
0
1
0
Use the connectedness algorithm to determine the connected component of v₁. State
whether or not G is connected and write down all its connected components.
We can extend the notion of a bridge from the lecture notes to mean an edge whose
removal causes the number of connected components to increase. Does G contain any
bridges in this sense? List them all if so.
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