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 2.7Write down the degree sequence of each graph with four vertices in Fig. 2.9, and verifythat 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 thereexist 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)?

(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

(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

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

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)?

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