Greek mythology, Deucalion or Deukalion (/dju:keɪli:ən/; Ancient Greek: Δευκαλίων) was the name of the following characters:
Deucalion, son of Prometheus, survivor of the Deucalian flood.  Deucalion, son of
Zeus and Iodame, daughter of Itonus. He was the brother of  Thebe who became the wife of Ogygus. 
Deucalion, son of Minos and Pasiphae, and apparently succeeded his older brother Catreus as King of Crete, father of Idomeneus.  Deucalion, a soldier
Achilles kills in the to avenge the death of Iliad Patroclus.  Deucalion, another name of Asterius, came from  Pella to join the Argonauts. He was the son of Hypso and probably,  Hyperasius. In some accounts, his father was called  Hippasus. 
scholia to Homer, 10.2 names Clymene as the commonly identified mother, along with Hesione (citing Odyssey Acusilaus, FGrH 2 F 34) and possibly Pronoia.
Murray, John (1833). A Classical Manual, being a Mythological, Historical and Geographical Commentary on Pope's Homer, and Dryden's Aeneid of Virgil with a Copious Index. Albemarle Street, London. p. 8.
Tzetzes on Lycophron, 1206
Iliad 20.478 ff.
^ a b
Apollonius of Rhodes, 1.176
Valerius Flaccus, 1.367
Hyginus, Fabulae 14 References Edit
Apollodorus, The Library with an English Translation by Sir James George Frazer, F.B.A., F.R.S. in 2 Volumes, Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1921. ISBN 0-674-99135-4. Online version at the Perseus Digital Library. Greek text available from the same website.
Apollonius Rhodius, translated by Robert Cooper Seaton (1853-1915), R. C. Loeb Classical Library Volume 001. London, William Heinemann Ltd, 1912. Argonautica Online version at the Topos Text Project. Apollonius Rhodius,
Argonautica. George W. Mooney. London. Longmans, Green. 1912. Greek text available at the Perseus Digital Library.
Gaius Julius Hyginus, Fabulae from The Myths of Hyginus translated and edited by Mary Grant. University of Kansas Publications in Humanistic Studies. Online version at the Topos Text Project.
Gaius Valerius Flaccus, Argonautica translated by Mozley, J H. Loeb Classical Library Volume 286. Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1928. Online version at theio.com. Gaius Valerius Flaccus,
Argonauticon. Otto Kramer. Leipzig. Teubner. 1913. Latin text available at the Perseus Digital Library.
Homer, with an English Translation by A.T. Murray, Ph.D. in two volumes. Cambridge, MA., Harvard University Press; London, William Heinemann, Ltd. 1924. The Iliad ISBN 978-0674995796. Online version at the Perseus Digital Library. Homer, Homeri Opera in five volumes. Oxford, Oxford University Press. 1920. ISBN 978-0198145318. Greek text available at the Perseus Digital Library.