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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.

Advanced Engineering Mathematics
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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(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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