Question: Consider the relation R = {(a, a),(a, b),(b, c),(c, b),(c, d),(d, a),(d, b)} on the set {a, b, c, d}. (a) Draw a graph representing

Consider the relation R = {(a, a),(a, b),(b, c),(c, b),(c, d),(d, a),(d, b)} on the set {a, b, c, d}. (a) Draw a graph representing R (b) Use the graph to determine whether R is reflexive, symmetric, and/or transitive. (c) The complement of a relation R is R = A A R. That is, it is the relation containing all ordered-pairs in A A that are not in R. Explain how you can draw the graph of R if you have the graph of R. Demonstrate this by drawing the graph of R for this problem.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Let A = {a, b, c} and R be the partial order relation R = {(a, a), (b, b), (c, c), (a, b)}. Define the lexicographic order relation precedesorequalto on the set S of strings of elements of A. Let S_n...

Recall that a relation R from A to B is a subset RCA B. (So for example, a relation on a set X is a relation from X to X.) Just as we can define new sets from old ones using "set operations" (e.g.,...

(b) Consider the relation R = {(a, a), (a, b), (a, e), (c, e), (b, b), (c, b)) on set A-{a, b, c} Show if the following are true or false with reasoning. (a) R is reflexive. (b) R is symmetric. (c) R...

1. Consider a relation R on the domain {a, b, c}, defined as R = {(a, a), (b, c), (c, a), (c, b)}. (a) (1 point) Express R as an arrow diagram, with the domain and codomain shown separately on...

Problem 8 Consider a relation R AB E A, B, C, D, E, F, G, H) together with the functional dependencies: CD onsider RI (A, B, C, D) with the above functional dependencies. What would be a candidate...

Please help with all of these! 10. Use the First Set Information. Find (P'nW ') UT' A. {1, 6, 8} B. {2, 5, 8} C. {1, 3, 4, 5, 8, 9, 10} D. {2, 4, 5, 7, 8, 9, 10} Second Set Information Let the...

Consider a relation R with ve attributes A, B, C, D, and E. You are given the following functional dependencies: A B, BCE, and EDA. (a) Is R in BCNF? If it is not, decompose it into a collection of...

Consider the set T = {(a, b) | a, b E R, a > b}. Define the relation R such that (a, b) R(c, d) when (a +b)(c -d) = (a -b)(c+ d). Show that R is an equivalence relation

6. Consider the relation R = {(a, d), (b, a), (b, c), (c, b), (c, c), (d, a) } on the set {a, b, c, d}. a. (5 pts) Find the symmetric closure of R

Consider the relation R with attributes: A, B, C, D, E, and F Let S be a set of functional dependencies in R such that S = { A-> B, CD-> E, C-> D]. Which of these attributes are in the closure of [C,...

Christopher offers to sell his car to Linda for $10,000. He owns 2015 Toyota Corolla and a 2018 Nisan 540Sx. Christopher intends to sell the Toyota, but Linda thinks he intends to sell the Nisan. Do...

In January of the current year, Don and Steve each invested $100,000 cash to form a corporation to conduct business as a retail golf equipment store. On January 5, they paid Bill, an attorney, to...

Rose Dela has a new greenhouse project with an initial cost of all that is expected to read cash flow of dollar 4 5 1 2 2 for 1 1 years and a cash flow of dollars 6 0 , 5 0 0 years 1 2 required...

CT Corp Comprehensive Question Canadian Tire Corporation, Limited (Canadian Tire) is a family of companies that includes a retail segment and a financial services division, among others. The retail...

5. Keep a log of how you listen with technology. Is it easieror more difficult for you to select, attend, remember, understand, and respond? Compare your experiences with friends. Do some of your...

A Should you tell Jamie the truth? Is it ethical to hide your true feelings from a friend? What might happen if you just say, Im embarrassed to say that Im feeling a bit jealous. Im feeling bummed...

B What are Jamies ethical responsibilities here? Has your friend been listening to you? Should Jamie have been able to sense your sensitivity about the situation from the way youve responded?