(a) For each of the degree sequences below, construct a simple graph with the given degree sequence, or else prove that a simple graph with the degree sequence is not possible. (i) Degree sequence: (1, 2, 3, 3, 4, 5, 6) (ii) Degree sequence: (1, 2, 3, 4, 5, 6, 7)

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A: Given below the detailed solution.

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A: 2) We will modify the domain to determine the set of occuring of |x| + 2, which will be the range.

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A: We are authorized to solve only one question please repost remaining questions Series

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Q: (a) Prove that the sum of the degree sequence of a simple graph is an even integer.

A: Given below the proof

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