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.

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Chapter2: Second-order Linear Odes
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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.
Transcribed Image Text: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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