Finite State Machines: Can a state diagram have more than one self-loop?

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According to Schaum's Outlines, the state diagrams of Finite State Machines are labelled directed graphs. Now, it is entirely possible that the resultant state after transition returns to itself more than once for different inputs, but then you'd have to create multiple self loops in the diagram. There are state tables in C.L Liu for the same proposition but without illustrations, so I'm a bit hesitant to draw multiple loops as 1. I haven't seen them so far anywhere, and 2. I haven't come across multiple self loops in graph theory either. Can anyone clarify and if possible, give references?