001110 000101 100110 Consider the adjacency matrix 1 1 1 011 101100 L010100 of a graph with nodes labeled a,b,c,d,e and f and lexiographically ordered rows and columns. 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. 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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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
1 1 1 0 1 1
of a graph with nodes labeled a,b,c,d,e and f and lexiographically ordered rows and columns.
1 0 1 1 0 0
Lo 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.
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.
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 1 1 1 0 1 1 of a graph with nodes labeled a,b,c,d,e and f and lexiographically ordered rows and columns. 1 0 1 1 0 0 Lo 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. 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.
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