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# Graphs and Trees are useful in visualizing data and the relations within and between data sets. Conversely

Question # 00007398
Subject: Mathematics
Due on: 02/19/2014
Posted On: 01/28/2014 10:02 AM

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Graphs and Trees are useful in visualizing data and the relations within and between data sets. Conversely, it is also important to be able to represent graphs as databases or arrays, so that programs for processing the data can be written. Part I: Adjacency Matrix and Shortest Path Construct a graph based on the adjacency matrix that appears below. Label all nodes with indices consistent with the placement of numbers within the matrix. ?0 6 0 5 0? | 6 0 1 0 3 | | 0 1 0 4 8 | | 5 0 4 0 0 | ?0 3 8 0 0? Describe the graph and why it is consistent with the matrix. How many simple paths are there from vertex 1 to vertex 5? Explain.Which is the shortest of those paths? Part II: Trees Construct and describe a tree that indicates the following: A college president has 2 employees who answer directly to him or her, namely a vice president and provost. The vice president and provost each have an administrative assistant. Three deans answer to the provost, and the heads of finance and alumni relations answer to the vice president. Each dean oversees three department chairpersons, and each department chair oversees several faculty in each of their respective departments. Suppose that the professional correspondences are the same as above, with the addition that there is also a direct working relationship between the college president and the head of alumni relations (it is not necessary to draw this). Would the graph still be a tree? Why or why not?

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#### Graphs and Trees are useful in visualizing data and the relations within and between data sets. Conversely

Tutorial # 00007101
Posted On: 01/28/2014 10:03 AM
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Tutorial Preview …useful xx visualizing…
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Preview: provost xxxx have xx administrative assistant xxxxx deans answer xx the xxxxxxxx xxx the xxxxx of finance xxx alumni relations xxxxxx to xxx xxxx president xxxx dean oversees xxxxx department chairpersons, xxx each xxxxxxxxxx xxxxx oversees xxxxxxx faculty in xxxx of their xxxxxxxxxx departments xx xxxx above, xxxx position is xxxxxxx by a xxxx and xxxx xxxxxxxxxxxxxx by xx edge Suppose xxxx the professional xxxxxxxxxxxxxxx are xxx xxxx as xxxxxx with the xxxxxxxx that there xx.....
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