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For each of the following degree sequences, either draw a simple graph (simple digraph, respectively) with the degree sequence, or explain why such a simple graph does not exist

Math Apr 05, 2022

For each of the following degree sequences, either draw a simple graph (simple digraph, respectively) with the degree sequence, or explain why such a simple graph does not exist.

 

a) Six vertices with degree sequence (4,3,2,2,2,1)

 

b) Five vertices with degree sequence (4,4,3,3,1)

 

c) Fours vertices with in-degree sequence (1,2,1,0)

and out-degree sequence (1,0,1,1)

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