On the Oberwolfach problem for single-flip $2$-factors via graceful labelings

A. C. Burgess, P. Danziger, T. Traetta

Let $F$ be a $2$-regular graph of order $v$. The Oberwolfach problem $OP(F)$, posed in 1967 and still open, asks for a decomposition of $K_v$ into copies of $F$. In this paper we s…