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- 47. Write the adjacency matrix for this graph:8.DRAW a Network diagram representing the details in this map. (use the letters mentioned in the key to represent each retreat in your graph) 9. CREATE an Adjacency matrix for the graph that represents this map is formed1. Draw the following graph and answer the three questions below.V ={Red, Yellow, Green}, where each node represents a color state of a traffic light system.E = {(Red, Yellow), (Yellow, Green), (Green, Red), (Red, Green), (Red, Yellow)}, where the edges represent transitions from one traffic light state to another.(a) Is it a directed graph or undirected graph?(b) Which of the transitions (edges) do not make sense in practice? For example, does ayellow light follow a red light in traffic?(c) Modify the set of edges (E) and show the correct traffic light transitions in a corrected graph.
- a. How many edges does a graph have if it has vertices of degree 4, 4, 3, 3, 3, 1? Draw the graph. b. Represent the below graph, G, using and adjacency matrix. c. State, giving reason(s), whether or not graph G has an euler circuit?Given the adjacency relation p = {(2, 1), (3, 2), (3, 3), (3, 4), (4, 5), (6, 3), (6, 6)} on the set N = {1, 2, 3, 4, 5, 6} Find the corresponding directed graph and adjacency matrix.Draw the graph represented by the following adjacency matrix.
- This is applid combinatorics. You dont have to draw the graph for question 1a) 1a) Suppose a dictionary in a computer has a “start” from which one can branch toany of the 26 letters: at any letter one can go to the preceding and succeedingletters. Model this data structure with a graph.(b) Suppose additionally that one can return to “start” from letters c or k or t.Now what is the longest directed path between any two letters?The dependencies between the 10 activities listed in the table above are as follows:• The project starts with two activities—A, and B—which can be done concurrently.• When activity A is finished, activity C can start• When activity B is finished, activities D and E can start• When both activities C and D are finished, activity F can start• When activity E is finished, activity G can start• When activity F is finished, activity H can start• When both activities G and H are finished, activity I can start• When activity G is finished, activity J can start• The project is complete when activities I and J are finished Questions1. Organize the information above in an activity precedence table showing the activity, precedent and duration (calculated using the PERT weighted average formula and round to the nearest integer).2. Draw an AON network diagram and calculate its early start, early finish, late start and late finish times, floats (Free and total) for each activity. Make sure you…The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 10% of the customers buy specialty clothes for their pets and thinks that she might be able to replace the clothes with more interesting and profitable items on the shelves. Before making a final decision she decides to keep track of the total number of customers for a day, and whether they purchase specialty clothes for their pet. a) Assuming the pet store owner is correct in thinking that only 10% of her customers purchase specialty clothes for their pets, how many customers should she expect before someone buys a garment for their pet? b) What is the probability that she does not sell a garment until the 5th customer? c) What is the probability that exactly 4 of the first 10 customers buy specialty clothes for their pet? d) What is the probability that at least 3 of the first 35 customers buy specialty clothes for their pet?…