Geodesic
CUBIC GRAPHS WITHOUT A PETERSEN MINOR HAVE NOWHERE-ZERO $5$-FLOWS
Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 2 
M. Kochol. CUBIC GRAPHS WITHOUT A PETERSEN MINOR HAVE NOWHERE-ZERO $5$-FLOWS. Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1999_68_2_a4/
@article{AMUC_1999_68_2_a4,
     author = {M. Kochol},
     title = {CUBIC {GRAPHS} {WITHOUT} {A} {PETERSEN} {MINOR} {HAVE} {NOWHERE-ZERO} $5${-FLOWS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1999},
     volume = {68},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1999_68_2_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

We show that every bridgeless cubic graph without a Petersen minor has a nowhere-zero $5$-flow. This approximates the known $4$-flow conjecture of Tutte.