You are given two sequences of non-negative integers below. Decide which sequences below represent the degree sequence of some simple graph. (a) Is s = 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 the degree sequence of some simple graph G? YES or NO (circle one) If your answer is YES then draw G. If your answer is NO then prove that s cannot be the degree se- quence of any graph. (b) Is s = 5, 4, 3, 2, 1 the degree sequence of some simple graph G? YES or NO (circle one) If your answer is YES then draw G. If your answer is NO then prove that s cannot be the degree se- quence of any graph.
You are given two sequences of non-negative integers below. Decide which sequences below represent the degree sequence of some simple graph. (a) Is s = 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 the degree sequence of some simple graph G? YES or NO (circle one) If your answer is YES then draw G. If your answer is NO then prove that s cannot be the degree se- quence of any graph. (b) Is s = 5, 4, 3, 2, 1 the degree sequence of some simple graph G? YES or NO (circle one) If your answer is YES then draw G. If your answer is NO then prove that s cannot be the degree se- quence of any graph.
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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Question
You are given two sequences of non-negative integers below. Decide which
sequences below represent the degree sequence of some simple graph.
(a) Is s = 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 the degree sequence of some simple graph G? YES or NO (circle one)
If your answer is YES then draw G. If your answer is NO then prove that s cannot be the degree se-
quence of any graph.
(b) Is s = 5, 4, 3, 2, 1 the degree sequence of some simple graph G? YES or NO (circle one)
If your answer is YES then draw G. If your answer is NO then prove that s cannot be the degree se-
quence of any graph.
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