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2. Sketch a planar graph (without multiple edges or loops) in which every vertex has degree 4. Formula: F+V=E-2 Solution: F+V=E-2 6+4 =12-2 10=10 Vertex (V) = 6 Edge (E) = 12 Face (F) = 4 Each vertex of the geometry has degree = 4 : There are Twelve (12) edges, six(6) vertices, and four(4) faces (including the infinite face) in the graph1. Sketch a planar graph (without multiple edges or loops) in which every vertex has degree 3. 2. Sketch a planar graph (without multiple edges or loops) in which every vertex has degree 4. 3. If a planar drawing of a graph has twice as many edges as vertices, find a relationship between the number of faces and the number of vertices