Kan. Stat. § 68-506f
The board of county commissioners of any county and the governing body of any city having a population of less than 5,000 which is located within such county are hereby authorized to enter into agreements for the maintenance of streets within such cities which form connecting links in the system of county roads and highways included in the major collector road system pursuant to article 17 of chapter 68 of the Kansas Statutes Annotated, and amendments thereto, or in the system of county minor collector roads and highways. Such agreements may provide for the maintenance of such connecting links by such cities and the reimbursement or payment of compensation to such cities by the county therefor. In the absence of agreement between the county and such cities regarding the maintenance of such connecting links it shall be the duty of the county to maintain all such connecting links in the county road and highway system. Payments to such cities for the maintenance of connecting links in county road and highway systems shall be made from the road and bridge fund of the county.
K.S.A. 68-506f