The -flow conjecture is a consequence of the weak circular flow conjecture which was proved in

[T] C.Thomassen, The weak 3-flow conjecture and the weak circular flow conjecture, J.Combinatorial Theory B 102 (2012) 521-529.

The paper [LTWZ] gives an improved bound.

## $ (2+\epsilon) $-flow conjecture.

The -flow conjecture is a consequence of the weak circular flow conjecture which was proved in

[T] C.Thomassen, The weak 3-flow conjecture and the weak circular flow conjecture, J.Combinatorial Theory B 102 (2012) 521-529.

The paper [LTWZ] gives an improved bound.