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(1) 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 1 0 1 1 1 0000000 110110000000 1 1 1 0 1 1000000 1 1 1 1 00000000 000 1000 10000 000000011100 0 0 0 0 0 1 100 100 0 0 0 0 0 0 100 100 0 0 0 0 0 0 1 1 1 000 000000000001 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.

(1) 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 1 0 1 1 1 0000000 110110000000 1 1 1 0 1 1000000 1 1 1 1 00000000 000 1000 10000 000000011100 0 0 0 0 0 1 100 100 0 0 0 0 0 0 100 100 0 0 0 0 0 0 1 1 1 000 000000000001 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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 69EQ
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(1) 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 1 0 1 1 1 0000000 110110000000 1 1 1 0 1 1000000 1 1 1 1 00000000 000 1000 10000 000000011100 0 0 0 0 0 1 100 100 0 0 0 0 0 0 100 100 0 0 0 0 0 0 1 1 1 000 000000000001 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.
Transcribed Image Text:(1) 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 1 0 1 1 1 0000000 110110000000 1 1 1 0 1 1000000 1 1 1 1 00000000 000 1000 10000 000000011100 0 0 0 0 0 1 100 100 0 0 0 0 0 0 100 100 0 0 0 0 0 0 1 1 1 000 000000000001 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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