Cc. Lindner et Ca. Rodger, A PARTIAL M = (2K-CYCLE SYSTEM OF ORDER-N CAN BE EMBEDDED IN AN M-CYCLE SYSTEM OF ORDER (2N+1)M(1)), Discrete mathematics, 117(1-3), 1993, pp. 151-159
A generalization of Cruse's Theorem on embedding partial idempotent co
mmutative latin squares developed and used to show that a partial m =
(2k + 1)-cycle system of order n can be embedded in an m-cycle system
of order tm for every odd t greater-than-or-equal-to (2n + 1).