a) Is it possible to construct a simple graph with degree sequence 2, 2, 2, 2, 2, 3, 3, 3 Either construct an example of such a graph or say why it is not possible to do so. b) Construct two non-isomorphic trees with degree sequence 1, 1,1, 2, 2, 3. Justify your answer.

a) Is it possible to construct a simple graph with degree sequence 2, 2, 2, 2, 2, 3, 3, 3 Either construct an example of such a graph or say why it is not possible to do so. b) Construct two non-isomorphic trees with degree sequence 1, 1,1, 2, 2, 3. Justify your answer.

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

(a) Is it possible to construct a simple graph with degree sequence 2, 2, 2, 2, 2, 3, 3, 3?
Either construct an example of such a graph or say why it is not possible to
do so.
(b) Construct two non-isomorphic trees with degree sequence 1,1,1, 2, 2, 3.
Justify your answer.

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