(i) Draw a graph on six vertices with degree sequence (3, 3, 5, 5, 5, 5); does there exist a simple graph with these degrees? (ii) How are your answers to part (i) changed if the degree sequence is (2, 3, 3, 4, 5, 5)? 2.8

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it is Algorthms and graphs Theory question.(2.8 (ii))

Draw a graph on six vertices with degree sequence (2, 3,3,4,5, 5) does there
exist a simple graph with these degree

 

 

 

2.7
Write down the degree sequence of each graph with four vertices in Fig. 2.9, and verify
that the handshaking lemma holds for each graph.
2.8
(i) Draw a graph on six vertices with degree sequence (3, 3, 5, 5, 5, 5); does there
exist a simple graph with these degrees?
(ii) How are your answers to part (i) changed if the degree sequence is (2, 3, 3, 4, 5, 5)?
Transcribed Image Text:2.7 Write down the degree sequence of each graph with four vertices in Fig. 2.9, and verify that the handshaking lemma holds for each graph. 2.8 (i) Draw a graph on six vertices with degree sequence (3, 3, 5, 5, 5, 5); does there exist a simple graph with these degrees? (ii) How are your answers to part (i) changed if the degree sequence is (2, 3, 3, 4, 5, 5)?
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