13(c) Construct a graph G that has all of the following properties: (i) G has exactly 6 vertices, (ii) the sum of the degrees of all the vertices in G is 16, (iii) G contains at least one cycle of length n for every n = {3,4,5,6).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 68E
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13(c) Construct
a graph G that has all of the following properties:
(i) G has exactly 6 vertices,
(ii) the sum of the degrees of all the vertices in G is 16,
(iii) G contains at least one cycle of length n for every n € {3, 4, 5, 6}.
Transcribed Image Text:13(c) Construct a graph G that has all of the following properties: (i) G has exactly 6 vertices, (ii) the sum of the degrees of all the vertices in G is 16, (iii) G contains at least one cycle of length n for every n € {3, 4, 5, 6}.
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