Let the degree sequence of a graph G be the sequence of length |V(G)| that contains he degrees of the vertices of G in non-increasing order. (a) For each of the following sequences, either draw a simple graph whose de- gree sequence is equal to that sequence, or explain why such a graph does not exist: (i) (4, 4, 4, 2, 2), (ii) (4, 2, 2, 1, 1), (iii) (3,3,3,2,1), (iv) (4, 3, 3, 2, 1), (v) (2, 2, 2, 1, 1).
Let the degree sequence of a graph G be the sequence of length |V(G)| that contains he degrees of the vertices of G in non-increasing order. (a) For each of the following sequences, either draw a simple graph whose de- gree sequence is equal to that sequence, or explain why such a graph does not exist: (i) (4, 4, 4, 2, 2), (ii) (4, 2, 2, 1, 1), (iii) (3,3,3,2,1), (iv) (4, 3, 3, 2, 1), (v) (2, 2, 2, 1, 1).
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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