Abstract
Tutte conjectured that every graph with no isthmus can be provided with an integral nowhere-zero flow with no absolute value greater than k=5. As yet the result is established for k=6, and it is used for proving that the existence of a triangular imbedding of a graph G in a surface S implies the existence of a triangular imbedding of G ( m) in a surface S ̃ with the same orientability characteristic as S. G ( m) stands for the composition of G by an independent set of m vertices.
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