Let the degree sequence of a graph G be the sequence of length |V (G)| that contains the degrees of the vertices of G in non-increasing order. For each of the following sequences: either draw a simple graph whose degree sequence is equal to that sequence, or explain why such a graph does not exist: a. (4, 2, 2, 1, 1) b. (4, 3, 3, 2, 1) c. (2, 2, 2, 1, 1) d. (4, 4, 4, 2, 2) e. (3, 3, 3, 2, 1) Please handwrite and explain with detail. Don't forget to label graph with the numbers

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.2: Graphs Of Equations In Two Variables; Circles
Problem 5E: a If a graph is symmetric with respect to the x-axis and (a,b) is on the graph, then (,) is also on...
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Let the degree sequence of a graph G be the sequence of length |V (G)|
that contains the degrees of the vertices of G in non-increasing order.
For each of the following sequences: either draw a simple graph whose degree sequence is equal to that
sequence, or explain why such a graph does not exist:
a. (4, 2, 2, 1, 1)
b. (4, 3, 3, 2, 1)
c. (2, 2, 2, 1, 1)
d.
(4, 4, 4, 2, 2)
e. (3, 3, 3, 2, 1)
Please handwrite and explain with detail. Don't forget to label graph with the numbers
Transcribed Image Text:Let the degree sequence of a graph G be the sequence of length |V (G)| that contains the degrees of the vertices of G in non-increasing order. For each of the following sequences: either draw a simple graph whose degree sequence is equal to that sequence, or explain why such a graph does not exist: a. (4, 2, 2, 1, 1) b. (4, 3, 3, 2, 1) c. (2, 2, 2, 1, 1) d. (4, 4, 4, 2, 2) e. (3, 3, 3, 2, 1) Please handwrite and explain with detail. Don't forget to label graph with the numbers
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