# Is two arrows on each state necessary in DFA? [duplicate]

In DFA, is two arrows on each state necessary?

Or it depend on language alphabets? I mean if there is $\Sigma = \{a\}$ then there should be one arrows on each state.

OR if there are $\Sigma = \{a , b\}$ then there should be two arrows on each state.

OR if there are $\Sigma = \{a , b , c\}$ then there should be three arrows on each state.

and so on...

• It depends on the author. Some authors only require at most one transition with each label. – Yuval Filmus Aug 3 '18 at 6:04