The streets, alleys or other public reservations which may be so vacated shall revert to the owners of the real estate immediately abutting thereon, according to the frontage of such real estate thereon: Provided, That all lands so reverting shall revert to the owners of abutting lands holding the same by title derived directly or indirectly from the owners of said lands from which said street or alley or public reservation was originally platted.
K.S.A. 12-506