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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.

Advanced Engineering Mathematics
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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1, 0, 9, 1, 5, 1 (a) Let a, b, c, d, e and f be (i) Consider the set D = {1, 2, 3, a, b, c, d, e, ƒ} (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.
Transcribed Image Text:1, 0, 9, 1, 5, 1 (a) Let a, b, c, d, e and f be (i) Consider the set D = {1, 2, 3, a, b, c, d, e, ƒ} (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.
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