Assume the relation R over the set {0,1,2,3,4,5,6,7,8,9} where (a,b) ∈ R if and only if
a+b < 10. Determine if the relation is Reflexive, symmetric, antisymmetric, or transitive (Use a table).
Assume the relation R over the set {0,1,2,3,4,5,6,7,8,9} where (a,b) ∈ R if and only if a+b < 10. Determine if the relation is Reflexive, symmetric, antisymmetric, or transitive (Use a table).
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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- Assume the relation R over the set {0,1,2,3,4,5,6,7,8,9} where (a,b) ∈ R if and only if
a+b < 10.
- Determine if the relation is Reflexive, symmetric, antisymmetric, or transitive (Use a table).
- Represent your relation R by a graph, and specify what type of graph can be used to represent this relation.
- Determine the degree of each vertex and the total degrees of the graph (Use a table).
- Determine whether the graph has an Euler circuit. Construct such a circuit when one exists. If no Euler circuit exists, determine whether the graph has an Euler path and construct such a path if one exists.
- Generate an adjacency matrix for your graph.
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