Let G = (V, E) be a connected, undirected graph. Let A = V, B = {1,..., n − 1}, and ƒ(v) = deg(v). Select all that are true. a) f : A → B is not a function b) f: A → B is a function but we cannot always apply the Pigeonhole Principle with this A, B c) f: AB is a function but we cannot always apply the extended Pigeonhole Principle with this A, B d) none of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Let G = (V, E) be a connected, undirected graph.
Let A = V, B = {1,..., n − 1}, and ƒ(v) = deg(v).
Select all that are true.
a) f : A → B is not a function
b) f: A → B is a function but we cannot always apply the Pigeonhole
Principle with this A, B
c) f: AB is a function but we cannot always apply the extended
Pigeonhole Principle with this A, B
d) none of the above
Transcribed Image Text:Let G = (V, E) be a connected, undirected graph. Let A = V, B = {1,..., n − 1}, and ƒ(v) = deg(v). Select all that are true. a) f : A → B is not a function b) f: A → B is a function but we cannot always apply the Pigeonhole Principle with this A, B c) f: AB is a function but we cannot always apply the extended Pigeonhole Principle with this A, B d) none of the above
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