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math.GT2002★ 3 cited
Zigzag Structure of Simple Two-faced Polyhedra
M. Deza, M. Dutour
A zigzag in a plane graph is a circuit of edges, such that any two, but no three, consecutive edges belong to the same face. A railroad in a plane graph is a circuit of hexagonal f…
math.GT2002
4-valent plane graphs with 2-, 3- and 4-gonal faces
M. Deza, M. Dutour, M. Shtogrin
Call {\em i-hedrite} any 4-valent n-vertex plane graph, whose faces are 2-, 3- and 4-gons only and . The edges of an i-hedrite, as of any Eulerian plane graph, are parti…