q10-relations - CSE 260 QUIZ-10 Relations ANSWERS(30...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
CSE 260 QUIZ-10– Relations: ANSWERS (30 minutes/total 5 questions) NAME: 1. Following relation is defined on the set { 1 , 2 , 3 , 4 } . { (1 , 1) , (1 , 2) , (2 , 1) , (2 , 2) , (3 , 3) , (4 , 4) } Indicate, whether it is reflexive, whether it is symmetric, whether it is antisymmetric, and whether it is transitive. reflexive, symmetric, transitive 2. Following relation is represented by a matrix below. Circle the appropriate properties below for the relation. reflexive/NO symmetric/YES antisymmetric/NO transitive/NO | 1 2 3 4 ----------------------- 1 | 1 1 1 0 | 2 | 1 0 1 0 | 3 | 1 1 0 0 | 4 | 0 0 0 0 3. Following relation is represented by a directed graph (digraph). A B C D Circle the appropriate properties below for the relation. reflexive/NO irreflexive/NO symmetric/NO antisymmetric/YES asymmetric/NO transitive/NO irreflexive: No loop in any node. asymmetric: ( a, b ) R ( b, a ) ¬ R even if a=b Thus, asymmetric does not allow self-loop while antisymmetric does. Thus R is asymmetric if and only if R is antisymmetric and also irreflexive.
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
4. Let R be the relation R = { ( a, a ) , ( b, a ) , ( c, b ) , ( d, c ) } . Find the powers R 2 , R 3 R 2 = { ( a, a ) , ( b, a ) , ( c, a ) , ( d, b ) } R 3 = { ( a, a
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern