Web Reference: A planar graph is a graph that has such an embedding onto the Euclidean plane, and a toroidal graph is a graph that has such an embedding onto a torus. The genus of a graph is the minimum possible genus of a two-dimensional manifold onto which it can be embedded. A graph is a pair G = (V, E) where V is the set of vertices and E is the set of edges. An edge is an unordered pair of vertices. Two vertices joined by an edge are said to be adjacent. Two vertices are neighbors if they are adjacent. The degree deg(v) of vertex v is the number of its neighbors. graph, or a digraph. The first vertex associated with an edge is then its begining and the s cond edge is its end. In a picture of a digraph, an arrow is drawn on each edge going in
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