Lycomedes was the son of Theban regent, Creon of Thebes[1] and possibly his wife Eurydice or Henioche, and thus, the brother of Menoeceus (Megareus), Haemon, Megara, Pyrrha and Henoiche.
[1] When Telamonian Ajax and Teucer had to leave their position on Hector's assault on the wall to deal with Sarpedon's division, Aias ordered Lykomedes to help Ajax the Lesser to help deal with Hector's press.
A day later, when Patroclus threw himself back into battle, the Greeks knew how to break through the encirclement and the comrade-in-law of Lycomedes, Liocritus was killed.
Once there, he cast of his bright spear to smote Trojan leader Apisaon in the liver below the midriff and straightway loosed his knees.
[3] Later on, Lycomedes was one of the Greeks who takes gifts for Achilles from the tent of King Agamemnon as these two decisions to settle their dispute.