Question: Let A = {0, 1, 2, 3}. Define a relation R on A as follows: R = {(0, 0), (1, 1), (2, 2), (1, 2),

Let A = {0, 1, 2, 3}. Define a relation R on A as follows: R = {(0, 0), (1, 1), (2, 2), (1, 2), (2, 1), (2, 3), (3, 2)}.

Draw a directed graph for this relation and identify which of the following properties hold for this relation:

a. Reflexive

b. Symmetric

c. Transitive

d. Antisymmetric

Explain why it has a property or give a counterexample.

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!

Q:

Let A = {0, 1, 2, 3}. Define a relation R on A as follows: (20 points) R = {(0, 0), ((1, 1), (2, 2), (1, 2), (2, 1), (2, 3), (3, 2)}. Draw a directed graph for this relation and identify which of the...

Q:

1.Enumerate the elements of the following relations from the set A of positive integers less than or equal to 10 to the set B of positive integers less than or equal to 30. 1. An element a of A is...

Q:

Let A = {0, 1, 2, 3}. Define a relation R on A as follows: R = {(0, 0), ((1, 1), (2, 2), (1, 2), (2, 1), (2, 3), (3, 2)}. Draw a directed graph for this relation and identify which of the following...

Q:

Please provide solution for each part asap to get a upvote 15. Let A = { 0, 1, 2, 3). Define the relations R and S as follows: R = ( (0,0), (0,1), (0,3), (1,0), (1,1), (2,2), (3,0), (3,3) } S = {...

Q:

Let A = {6, 5, 4, 3, 2, 1, 0, 1, 2} and define a relation R on A as follows:For all m , n A , m R n 5|( m 2 n 2 ). It is a fact that R is an equivalence relation on A . Use set-roster notation to...

Q:

1. Consider the set A = {0, 1, 2, 3} and the relation R defined by R = {(0, 1), (2, 1), (1, 3), (3, 2), (3, 1) }. Which of the following is true? A. R is neither symmetric nor transitive. B. R is...

Q:

Lesson 12 Quiz (Show/Explain all Work) IST 230 Relations on Sets, Databases 1. Let A = {0, 1, 2, 3, 4, 5, 6, 7, 8} and B = {1, 2, 3, 4, 5, 6, 7, 8}. Now let R be a binary relation R from A to B such...

Q:

C++ PROGRAM FOR MATRIX RELATIONS (reflexivity, transitivity, symmetry, equivalance classes) need help completing the functions, thanks /* Reads in a matrix from a binary file and determines RST and...

Q:

Enumerate the elements of the following relations from the set A of positive integers less than or equal to 10 to the set B of positive integers less than or equal to 30. An element a of A is related...

Q:

(a) For n 2, let V denote the vertices in Qn. For 1 k n, define the relation R on V as follows: If w, x V, then w R x if w and x have the same bit (0, or 1) in position k and the same bit (0,...

Q:

Mishu wants to invest an inheritance of $50 000 for one year. His credit union offers 3.95% for a one-year term or 3.85% for a six-month term. (a) How much will Mishu receive after one year if he...

Q:

Toyda, Inc. (Toyda) is one of the worlds leading car manufacturers. It sells cars exclusively in the United States. In recent years, Toyda has begun producing electric cars, as well as specialized...

Q:

If the coupon interest rate remains constant from the time of issue until the bond matures, then the bond is called afixed - rate bond . The contract that describes the terms of a borrowing...

Q:

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...

Q:

. Like a coconut pudding, this food comes from Hawaii: a. Lomi lomi b. Poke c. Haupia d. Kalua

Q:

What is the preferred personality?

Q:

What is the relationship between humans?