Interstate highway 135 from its intersection with Interstate 235 just north of the north city limit of Wichita to its intersection with Interstate 35 near the south city limit of Wichita is hereby designated as “the Dr. Martin Luther King, Jr., memorial highway.” The secretary of transportation shall place markers along the highway right-of-way at proper intervals to indicate that the highway is the Dr. Martin Luther King, Jr., memorial highway. The city of Wichita shall reimburse the secretary of transportation for the cost of placing markers, as provided by this section, in accordance with invoice of the secretary therefor.