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graph(Noun) An ordered pair , where is a set of elements called vertices (or nodes) and is a set of pairs of elements of , called edges; informally, a set of vertices together with a set edges that join these vertices.
In mathematics, a graph is a representation of a set of objects where some pairs of the objects are connected by links. The interconnected objects are represented by mathematical abstractions called vertices, and the links that connect some pairs of vertices are called edges.