There is another which ends with Chrysippus, that is to say by passing from Socrates to Antisthenes, then to Diogenes the Cynic, Crates of Thebes, Zeno of Citium, Cleanthes, Chrysippus. And yet again another ends with Theophrastus; thus from Plato it passes to Aristotle, and from Aristotle to Theophrastus. In this manner the school of Ionia comes to an end.
In the Italian school the order of succession is as follows: first Pherecydes, next Pythagoras, next his son Telauges, then Xenophanes, Parmenides, Zeno of Elea, Leucippus, Democritus, who had many pupils, in particular Nausiphanes [and Naucydes], who were teachers of Epicurus.
Source: Lives of the Eminent Philosophers (1925) by Diogenes Laërtius, translated by Robert Drew Hicks. A Loeb Classical Library edition; volume 1 published 1925; volume 2 published 1925. WikiSource.