Character Theory and Rooted Maps in an Orientable Surface of Given Genus: Face-Colored Maps
Character Theory and Rooted Maps in an Orientable Surface of Given Genus: Face-Colored Maps
The character theoretic approach [5] to the enumeration of rooted maps in an orientable surface of arbitrary genus is extended to 2-face-colorable rooted maps.In particular, we show that there exists, for each genus, a correspondence between the set of 2-colored triangulations and a set of 2-colored rooted maps of all …