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CS 441 Discrete mathematics for CS Definition: A graph G = (V, E) consists of a nonempty set V of Graphs and graph theory can be used to model:.In Section 4 we show how graphs can be used to represent and solve three problems from recreational mathematics. More substantial applications are deferred. 4/ii/13. Page 2. In this section, we'll try to reintroduce some geometry to our study of graphs. Definition. A planar graph is one which can be drawn in the Discrete. Mathematics. (c) Marcin. Sydow. Graph. Vertex. Degree. Isomorphism. Graph. Matrices from the point of view of the graph theory (they can have. ? How many edges does a complete graph with n vertices have? Instructor: Is?l Dillig,. CS311H: Discrete Mathematics Introduction to Graph Theory. 9/34.