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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.
graph = structure consisting of nodes, that are connected to each other with edges directed = the connections between the nodes (edges) have a direction: A -> B is not the same as B -> A acyclic = non-circular = moving from node to node by following the edges, you will never encounter the same node for the second time.