At about 1340 Alaska time, a Cessna 172 collided with a Piper PA-31-350 at Fairbanks International Airport. No one was injured. The Cessna was taxiing for takeoff and the Piper was taxiing to parking. The pilot of the Cessna said he was taxiing northbound on Delta to runway 19L. As he passed by intersection Romeo, the Piper struck his left wing. The pilot of the Piper said she landed on runway 19R and was instructed by the ground controller to taxi to parking. She was taxiing slowly on Romeo and turning left onto Delta when the airplanes collided. Both pilots commented that construction activity in the area complicated taxi operations. The area in which the collision took place is considered uncontrolled by ground control.