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onsider the adjacency matrix 100110 of a graph with nodes labeled a,b,c,d,e and fand lexiographically ordered rows and columns. 111011 101100 010100 uppose the above adjacency matrix identifies the network in a small company, where nodes represent workers and edges indicate that those workers interact during the week. The company has a single team leader and two different pro teract often during the week. State which node represents the team leader, justifying your answer. State whether all workers are involved in at least one project and whether there is any worker, apart from the team leader, who works simultaneously on both projects. Explain what happens to the graph if the team leader suddenly resigns. our response should be written in sentences.

onsider the adjacency matrix 100110 of a graph with nodes labeled a,b,c,d,e and fand lexiographically ordered rows and columns. 111011 101100 010100 uppose the above adjacency matrix identifies the network in a small company, where nodes represent workers and edges indicate that those workers interact during the week. The company has a single team leader and two different pro teract often during the week. State which node represents the team leader, justifying your answer. State whether all workers are involved in at least one project and whether there is any worker, apart from the team leader, who works simultaneously on both projects. Explain what happens to the graph if the team leader suddenly resigns. our response should be written in sentences.

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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Consider the adjacency matrix 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 of a graph with nodes labeled a,b,c,d,e and f and lexiographically ordered rows and columns. 1 1 1 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0. Suppose the above adjacency matrix identifies the network in a small company, where nodes represent workers and edges indicate that those workers interact during the week. The company has a single team leader and two different projects, one larger than the other. Workers in the same project interact often during the week. a) State which node represents the team leader, justifying your answer. b) State whether all workers are involved in at least one project and whether there is any worker, apart from the team leader, who works simultaneously on both projects. c) Explain what happens to the graph if the team leader suddenly resigns. Your response should be written in sentences.
Transcribed Image Text:Consider the adjacency matrix 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 of a graph with nodes labeled a,b,c,d,e and f and lexiographically ordered rows and columns. 1 1 1 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0. Suppose the above adjacency matrix identifies the network in a small company, where nodes represent workers and edges indicate that those workers interact during the week. The company has a single team leader and two different projects, one larger than the other. Workers in the same project interact often during the week. a) State which node represents the team leader, justifying your answer. b) State whether all workers are involved in at least one project and whether there is any worker, apart from the team leader, who works simultaneously on both projects. c) Explain what happens to the graph if the team leader suddenly resigns. Your response should be written in sentences.
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