This is a graph in which vertices represent state of machine and the edges show transition of states.
The labels on these edges indicate input/output for the corresponding transition.
A transition diagram for a DFA M = (Q, Σ, δ, q0, F) is a graph defined as follows:
For each state in Q there is a node.
There is labelled input symbol on transition.
Then the transition diagram has an arc (arrow) from one node to another node.
If multiple input symbols cause the same transition from one node to another node, then multiple input labels separated by the commas are given to that edge.
There is an arrow into the start state q0 labeled as start. This arrow does not originate at any node.
Final states/ accepting states are marked by concentric double circles.
States not belonging to final states have a single circle. e.g.
It specifies the resultant set of states for the corresponding current state and input to the machine.
A transition table is a conventional tabular representation of a function like δ that takes two arguments and returns a value the rows of the table correspond to the states and the columns correspond to the inputs.
The entry for the row corresponding to state q and the column corresponding to input q is the state δ(q, a).