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More contemporary approaches such as model the syntax of natural language using , which are . finite-state morphology, using ) are common in the analysis of language as a graph.Within , especially as applied to computers, modeling word meaning is easier when a given word is understood in terms of related words; are therefore important in . Indeed, the usefulness of this area of mathematics to linguistics has borne organizations such as , as well as various ' Net' projects, such as , , and others.Graph-theoretic methods, in various forms, have proven particularly useful in , since natural language often lends itself well to discrete structure.Traditionally, and compositional semantics follow tree-based structures, whose expressive power lies in the , modeled in a hierarchical graph.A graph in this context is made up of , nodes, or points which are connected by edges, arcs, or lines.
Acquaintanceship and friendship graphs describe whether people know each other.The vertices belonging to an edge are called the ends or end vertices of the edge.A vertex may exist in a graph and not belong to an edge.Graph theory is also used to study molecules in and .