Short answers, pulled from the story.
King Laius was the birth father of Oedipus. Apollo told Laius at Delphi that any son born to him would kill his father, so Laius ordered the infant's ankles pierced and tethered together.
The poet Pindar wrote a Second Olympian Ode in 476 BC describing the child whose ankles were pierced and tethered together. This text details how Laius intended for the prophecy from Apollo to be prevented by abandoning the baby on a mountainside near Cithaeron.
Oedipus killed Laius and most of his guards during a struggle over who had the right to go first. Only one slave survived the attack and fled into a frontier district of Thebes while Oedipus continued toward the city.
Sophocles wrote three plays concerning the fate of Thebes during and after Oedipus reign including Oedipus Rex, Oedipus at Colonus, and Antigone. These works contain inconsistencies among them yet often appear under a single cover despite originally being written for separate festival competitions many years apart.
Euripides Phoenissae differs because Jocasta does not kill herself upon discovery of incest nor does Oedipus flee into exile immediately. They stay in Thebes until the fatal duel between their sons occurs instead of following the sequence found in Sophocles work.