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Q1. Draw a graph whose vertices represent the faces of a cube and in which an edge between two vertices shows that the corresponding faces of the actual cube share a common boundary. What is the degree of each vertex in your graph? What does the degree of any vertex in your graph tell you about the actual cube?
Q2. Draw a graph with vertices representing the vertices (the corners) of a cube and edges representing the edges of the cube. In your graph, find a circuit that visits four different vertices. What figure does your circuit form on the actual cube?
Q3. Draw a graph with vertices representing the vertices (or corners) of a tetrahedron and edges representing the edges of the tetrahedron. In your graph, identify a circuit that visits three different vertices. What figure does your circuit form on the actual tetrahedron
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