The present invention relates to a process and apparatus for the production of light olefins comprising olefins having from 2 to 3 carbon atoms per molecule from a feedstock containing heavier olefins. An intermediate cut from a fractionation column is used as olefinic feed to an olefin cracking process preferably after undergoing selective hydrogenation of diolefins. In one embodiment, a liquid side draw from a fractionation column is selectively hydrogenated and then returned to the fractionation column from which a vapor side draw containing olefins is cracked in the olefin cracking reactor.