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math.CO2003
Graphs of Maps
Sostenes Lins
This work studies certain aspects of graphs embedded on surfaces. Initially, a colored graph model for a map of a graph on a surface is developed. Then, a concept analogous to (and…
math.CO2003★ 1 cited
On Maps with a Single Zigzag
Sostenes Lins, Valdenberg Silva
If a graph is embedded into a closed surface such that is a collection of disjoint open discs, then is called a {\em map}. A {\em zigzag} i…
math.CO2003
An Affine Linear Solution for the 2-Face Colorable Gauss Code Problem in the Klein Bottle and a Quadratic System for Arbitrary Closed Surfaces
Sostenes Lins, Emerson Oliveira-Lima, Valdenberg Silva
Let be a sequence of length in which each element of occurs twice. Let be a closed curve in a closed surface having points of simple aut…