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Graphs are types of charts. Charts are a way to present information graphically, including graphs, diagrams, tables, and other visual representations of data. So while all graphs are charts, not all charts are graphs. Since that’s confusing, it might be easier to remember that visual representations of math relationships are found in graphs.
In a state diagram, the nodes are states and the arrows correspond to something that happens that triggers a change of state. In a flow chart, the nodes are actions or decisions, and the arrows correspond to the flow of control, i.e. what happens next. Flow chart are not UML.