The degree sequence of a graph is the sequence of the degrees of the vertices of the graph in non-increasing order. For example, the degree sequence of this example graph G is 4,4,4,3,2,1,0. How many edges does a graph have if its degree sequence is 4,3,3,2,2 ? Draw such a graph. (Hint: Handshaking theorem)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 78E
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The degree sequence of a graph is the sequence of the degrees of the
vertices of the graph in non-increasing order. For example, the
degree sequence of this example graph G is 4,4,4,3,2,1,0.
How many edges does a graph have if its degree sequence is
4,3,3,2,2 ? Draw such a graph. (Hint: Handshaking theorem)
Transcribed Image Text:The degree sequence of a graph is the sequence of the degrees of the vertices of the graph in non-increasing order. For example, the degree sequence of this example graph G is 4,4,4,3,2,1,0. How many edges does a graph have if its degree sequence is 4,3,3,2,2 ? Draw such a graph. (Hint: Handshaking theorem)
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