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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please hand write the solution, with clear drawings and explanation. Will leave good review
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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