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.
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$ (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.