1, 0, 9, 1, 5, 1 Let a, b, c, d, e and ƒ be (i) Consider the set D := {1, 2, 3, a, b, c, d, e, f} (with repetitions allowed). By ordering your set from smallest to largest, including repetitions, state whether or not the resulting sequence is the degree sequence of a graph. Justify your answer. (ii) If necessary, by adjusting just one of the terms in your sequence from part (i), draw a graph whose degree sequence is made from your new sequence. (iii) Is the graph you constructed in part (ii) simple? Justify your answer.
1, 0, 9, 1, 5, 1 Let a, b, c, d, e and ƒ be (i) Consider the set D := {1, 2, 3, a, b, c, d, e, f} (with repetitions allowed). By ordering your set from smallest to largest, including repetitions, state whether or not the resulting sequence is the degree sequence of a graph. Justify your answer. (ii) If necessary, by adjusting just one of the terms in your sequence from part (i), draw a graph whose degree sequence is made from your new sequence. (iii) Is the graph you constructed in part (ii) simple? Justify your answer.
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 76E
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