Note:-• Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.• Answer completely.• You will get up vote for sure. Consider the following graph:The graph G1. Prove that G is non-planar. Hint: find a sub-graph of G which is not planar,and prove the sub-graph isn't planar.2. Find a 3-coloring of G and prove there is no 2-coloring.3. Find a Hamiltonian circuit on G.

1. Consider the above subgraph of the given…

Consider the following graph: A The graph G 1. Prove that G is non-planar. Hint: find a sub-graph of G which is not planar, and prove the sub-graph isn't planar. 2. Find a 3-coloring of G and prove there is no 2-coloring. 3. Find a Hamiltonian circuit on G.

Consider the following graph: A The graph G 1. Prove that G is non-planar. Hint: find a sub-graph of G which is not planar, and prove the sub-graph isn't planar. 2. Find a 3-coloring of G and prove there is no 2-coloring. 3. Find a Hamiltonian circuit on G.

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

Note:- • Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. • Answer completely. • You will get up vote for sure.

Consider the following graph:
The graph G
1. Prove that G is non-planar. Hint: find a sub-graph of G which is not planar,
and prove the sub-graph isn't planar.
2. Find a 3-coloring of G and prove there is no 2-coloring.
3. Find a Hamiltonian circuit on G.

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Step 1: Consider the following subgraph

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Step 2: Using Euler's Identity to show the subgraph is non-planar

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Step 3: Finding a 3-coloring of the graph

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