Apollodorus Library 3.5.7

[7]
  After Amphion's death Laius succeeded to the kingdom. And he married a daughter of Menoeceus; some say that she was Jocasta, and some that she was Epicasta. ¹ The oracle had warned him not to beget a son, for the son that should be begotten would kill his father; nevertheless, flushed with wine, he had intercourse with his wife. And when the babe was born he pierced the child's ankles with brooches and gave it to a herdsman to expose. But the herdsman exposed it on Cithaeron; and the neatherds of Polybus, king of Corinth, found the infant and brought it to his wife Periboea. ² She adopted him and passed him off as her own, and after she had healed his ankles she called him Oedipus, giving him that name on account of his swollen feet. ³ When the boy grew up and excelled his fellows in strength, they spitefully twitted him with being supposititious. He inquired of Periboea, but could learn nothing; so he went to Delphi and inquired about his true parents. The god told him not to go to his native land, because he would murder his father and lie with his mother. On hearing that, and believing himself to be the son of his nominal parents, he left Corinth, and riding in a chariot through Phocis he fell in with Laius driving in a chariot in a certain narrow road. ⁴ And when Polyphontes, the herald of Laius, ordered him to make way and killed one of his horses because he disobeyed and delayed, Oedipus in a rage killed both Polyphontes and Laius, and arrived in Thebes.