In mathematics and computer sciencegraph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of verticesnodes, or points which are connected by edgesarcs, or lines. A graph may be undirected, meaning that there is no distinction between the two vertices associated with each edge, or its edges may be directed from one vertex to another; see Graph (discrete mathematics) for more detailed definitions and for other variations in the types of graph that are commonly considered. Graphs are one of the prime objects of study in discrete mathematics.

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