**Conjecture**Let be a circuit in a bridgeless cubic graph . Then there is a five cycle double cover of such that is a subgraph of one of these five cycles.

A cycle in is meant to be a -regular subgraph of . A five cycle double cover of is a set of five cycles of such that every edge of is contained in exactly two of these cycles.

This conjecture is a combination and thus strengthening of the -cycle double cover conjecture and the strong cycle double cover conjecture.

## Bibliography

* indicates original appearance(s) of problem.