Xplain why every planar drawing of a graph has the same, Mechanical Engineering

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Xplain why every planar drawing of a graph has the same

1. Verify Euler's formula for K4. (Be sure to draw K₄ without edges crossing.)

2. Draw K3. Count the number of vertices, edges, and faces. How many edges must you remove to obtain a spanning tree? Do so. Count the number of vertices, edges, and faces of the spanning tree. Verify Euler's formula for K₃ and for the spanning tree you obtained.

3. Verify Euler's formula for W₆, the wheel with five spokes.

4. Explain why every planar drawing of a graph has the same number of faces.

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Mechanical Engineering: Xplain why every planar drawing of a graph has the same

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Mechanical Engineering: Xplain why every planar drawing of a graph has the same

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