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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