A generalization of the Oberwolfach problem

Let n  > 1 be an integer and let a 2 , a 3 ,…, a n be nonnegative integers such that $\sum_{i=2}^{n} a_i=2^{n-1} - 1$ . Then $K_{2^n}$ can be factored into $a_2 C_{2^2}$ ‐factors, $a_3 C_{2^3}$ ‐factors,…, $a_n C_{2^n}$ ‐factors, plus a 1‐factor. © 2002 Wiley Periodicals, Inc. J Graph Theory 41: 151–161, 2002