Let G be a simple graph. Show that the relation R on the set of vertices of G such that u Ru if and only if there is an edge associated to {u, v} is a symmetric, irreflexive relation on G.
Let G be a simple graph. Show that the relation R on the set of vertices of G such that u Ru if and only if there is an edge associated to {u, v} is a symmetric, irreflexive relation on G.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Let G be a simple graph. Show that the relation R on the set of vertices
of G such that u Ru if and only if there is an edge associated to {u, v} is a symmetric,
irreflexive relation on G.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cfb1622-320e-4467-bed3-bad73bf8b15b%2F53aff9fc-0488-4f4b-9b75-6951778ff044%2Fv8vytf_processed.png&w=3840&q=75)
Transcribed Image Text:Let G be a simple graph. Show that the relation R on the set of vertices
of G such that u Ru if and only if there is an edge associated to {u, v} is a symmetric,
irreflexive relation on G.
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