Geodesic
Some news about oblique graphs
Discussiones Mathematicae. Graph Theory, Tome 22 (2002) no. 1, pp. 39-50 Cet article a éte moissonné depuis la source Library of Science

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A k-gon α of a polyhedral graph G(V,E,F) is of type 〈b₁,b₂,...,bₖ〉 if the vertices incident with α in cyclic order have degrees b₁,b₂,...,bₖ and 〈b₁,b₂,...,bₖ〉 is the lexicographic minimum of all such sequences available for α. A polyhedral graph G is oblique if it has no two faces of the same type. Among others it is shown that an oblique graph contains vertices of degree 3. 
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Dobrynin, Andrey; Melnikov, Leonid; Schreyer, Jens; Walther, Hansjoachim. Some news about oblique graphs. Discussiones Mathematicae. Graph Theory, Tome 22 (2002) no. 1, pp. 39-50. http://geodesic.mathdoc.fr/item/DMGT_2002_22_1_a4/

[1] O. Borodin, Structural properties of planar maps with the minimum degree 5, Math. Nachr. 158 (1992) 109-117, doi: 10.1002/mana.19921580108.

[2] B. Grünbaum and C.J. Shephard, Spherical tilings with transitivity properties, in: Geometrie (Springer-Verlag, 1982) 65-98.

[3] M. Voigt and H. Walther, Polyhedral graphs with restricted number of faces of the same type, Preprint No. M22/99, Technical University Ilmenau (submitted to Discr. Math.).

[4] H. Walther, Polyhedral graphs with extreme numbers of types of faces, Preprint No. M13/99, Technical University Ilmenau (submitted to Appl. Discr. Math.).