Sergeant First Class Graham was a member of the 38th Infantry Regiment, 2nd Infantry Division. He was seriously wounded by the enemy in South Korea on 28 September 1950 and returned to duty on 10 October 1950. He was Killed in Action while fighting the enemy in South Korea on 18 May 1951.

Graham was awarded the Purple Heart with Oak Leaf Cluster, the Combat Infantryman Badge, the Korean Service Medal, the United Nations Service Medal, the National Defense Service Medal, the Korean Presidential Unit Citation and the Republic of Korea War Service Medal.