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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.
Math Insight. log in. Directed graph definition. A directed graph is graph, i.e., a set of objects (called vertices or nodes) that are connected together, where all the edges are directed from one vertex to another. A directed graph is sometimes called a digraph or a directed network. In contrast, a graph where the edges are bidirectional is called an undirected graph.