3·2 r+1 -Cycle Systems of K n −C n

 In this paper we investigate the necessary and sufficient conditions for the existence of 3 · 2 ^{r +1}-cycle system of K _n – C _n , where C _n is any Hamilton cycle of K _n and r ≥ 0. Received: December 17, 1999 Final version received: July 25, 2000 Present address: 15 Guang Ming 10 St. Sec. 1, Chu-Bei, Hsin-Chu, 302, Taiwan, ROC