Question

1) Is there a graph with degrees 3,3,3,3,3, 5, 5, 6, 6, 6, 6? Yes Or No ​

Answer 1

Answer:

your answer is Yes

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Answer 2

The answer is no:

Step-by-step explanation:

• There must be 34 edges because the sum of the degrees equals 68.
• The sum of the degrees of the vertices in each part of a bipartite graph must be 34.
• Show that this is impossible: there is no way to divide the numbers 3,3,3,3,5,6,6,6,6.
• There should be at least 3 vertices for a maximum of 3 edges.
• Hence, this is not possible.