Let A be the towns {P, Q, R, S}. Let B be the one way street relation {(P, S), (Q, P), (R, P), (S, Q), (S, R)}. Find B^2 (pairs of towns that are connected by two streets). Find B^3 (pairs of towns that are connected by three streets). You must use directed graph to find the answer.

Q: Draw the directed graph of the relation R = {(1,2), (2,1), (1,1), (2,2), (3,3), (4,1)} X=123 43

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Q: If R ={ (1, 2), (1, 4), (2, 3), (3, 1), (4, 2)} is a relation on {1, 2, 3, 4}. Find the reflexive…

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Q: 3. Select the range of the relation. {(Alabama, monarch butterfly). (Arkansas, honeybee),…

A: To find the range of the given relation.{Alabama, monarch butterfly, Arkansas, honeybee,…

Q: Dominic needs to determine the range for the relation {(1,3), (1,5) , (3,-21), (4, 33)}. What answer…

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Q: 3. Which graph models the relation {(2, 1), (1, 2), (1, -2)}?

A: Given: The relations is {(2,1) , (1,2) ,(1,-2)}  which gives that 2→1     ⇒(2,1)1→2    ⇒(1,2)1→-2…

Q: V = Span{(1, 2, 3), (1, 0, 2)} and W = Span {(0, 2, 1), (1, 1, 1)}. Find the relation between V and…

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Q: Draw a directed graph for the relation R on the set {0, 1, 2, 3) given by 10. R = {(0, 1), (0, 2),…

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Q: 5. Draw a directed graph for the relation with coordinate pairs (a, b), (a, d), (b, b), (b, d), (c,…

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Q: Identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b), (c, d),…

A: We need to identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b),…

Q: PROBLEM 7 art 1. The drawing below shows a Hasse diagram for a partial order on the set A, B, C, D,…

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Q: Find the domain. f (x) =1 3 - X O {x[ x is a real number and x < 3} O All real numbers O {X[ x is a…

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Q: 5. Let R be the relation on the set {1, 2, 3, 4, 5} containing the ordered pairs (1, 1), (1, 2), (1,…

A: Let R be the relation on the set 1 , 2 , 3 , 4 , 5 containing the ordered pairs  1 , 1 , 1 , 2 , 1 ,…

Q: Scatterplot showing relation between Test3 and Testt Mark 10 20 30 40 Test 1 Mark Test 3 Mark

A: Scatter diagram: Scatter plot is used to examine the relationship between two variables. Where one…

Q: In Exercises 3, 5, 7, 9, 11, and 13, graph AFGH with vertices F image after the similarity…

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Q: I. Write the missing coordinates of the vertices without using new letters. B(0,b) A(0, b). B(_)…

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Q: Write a function that returns true (1) if u and v have an edge in a directed graph represented by…

A: Since you are not mentioning the programming language, here we are using C++ to complete the…

Q: Consider the relation{(1,1), (1,3), (1,4), (2,3), (2,4), (3,1), (4,1), (4,2)} on the set a.…

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Q: The value y (in 1982–1984 dollars) of each dollar paid by consumers in each of the years from 1994…

A: It is a time series data, so we convert the year in periodsEntering the data in excel as shown below

Q: Construct a simple graph with vertices V, W, X, Y whose degrees are 1, 2, 0, 1 What is the edge set?

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Q: There are 6 towns {A, B, C, D, E, F} with the following one way street relation {(A, B), (A, C), (B,…

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Q: Construct a simple graph with vertices H, I, J, K whose degrees are 1, 1, 0, 0 What is the edge set?

A: Simple graph: A graph that does not have more than one edge between any two vertices and no edge…