For each of the following relation on the set {0,1,2,3} draw directed graphs for each relation and indicate which relations are antisymmetric a. R1 = {(0,0), (0,2), (1,0), (1,3), (2,2), (3,0), (3,1)} b. R2 = {(0,1), (0,2), (1,1), (1,2), (1,3), (2,2), (3,2)} c. R3 = {(0,0), (0,3), (1,0), (1,3), (2,2), (3,3), (3,2)}

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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For each of the following relation on the set {0,1,2,3} draw directed graphs for each relation and
indicate which relations are antisymmetric
a. R1 = {(0,0), (0,2), (1,0), (1,3), (2,2), (3,0), (3,1)}
b. R2 = {(0,1), (0,2), (1,1), (1,2), (1,3), (2,2), (3,2)}
c. R3 = {(0,0), (0,3), (1,0), (1,3), (2,2), (3,3), (3,2)}
Transcribed Image Text:For each of the following relation on the set {0,1,2,3} draw directed graphs for each relation and indicate which relations are antisymmetric a. R1 = {(0,0), (0,2), (1,0), (1,3), (2,2), (3,0), (3,1)} b. R2 = {(0,1), (0,2), (1,1), (1,2), (1,3), (2,2), (3,2)} c. R3 = {(0,0), (0,3), (1,0), (1,3), (2,2), (3,3), (3,2)}
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