Suppose that the professional correspondence are the same

Reference no: EM13472582

Graph 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 program 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?

l 6 0 1 0 3 l

l 0 1 0 4 8 l

l 5 0 4 0 0 l

? 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 shortes 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.

Suppose that the professional correspondence are the same as above, with the addition that there is also a great working relationship between the college president and the head of alumni relations I(it is not necessary to draw this). Would the graph still be a tree? Why or why not?

Reference no: EM13472582

Questions Cloud

Although there seems to be a great demand for your bread : you are the owner of a small bread factory and are thinking of lowering costs and expanding. your small-business

Specify the sequence of transformations that will yeild : 1 compare the graph of the function with the graph of fx x y 12x 2 specify the sequence of transformations that will

What are the two types of infinity give an infinite set s : here are the questions 1. state eulers circuit theorem. explain why this theorem should be true 2. explain cantors

Determine the surface area after two square holes with a : determine the surface area after two square holes with a side length of 2 m are drilled through the solid figure

Suppose that the professional correspondence are the same : graph and trees are useful in visualizing data and the relations within and between data sets. conversely it is also

Assume that preferred stock is noncumulative and total : suppose a company had the following stock outstanding and retained earnings on december 31 2011.common stock par 7

The average college student graduated with 27200 in debt : 1. the weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds.a find

Use your knowledge of definitions and conjectures to write : use your knowledge of definitions and conjectures to write a paragraph explaining why it is true that each side of a

Find the amount of retained earnings at beginning of the : the financial statements for a company included the following informationcommon stocknbsp1750000nbspretained

User Account

All Pages