| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4657515 | Journal of Combinatorial Theory, Series B | 2007 | 8 Pages |
Abstract
We show that for any closed surface F with χ(F)⩽−4 (or χ(F)⩽−2), there exist graphs that triangulate the torus or the Klein bottle (or the projective plane) and that quadrangulate F. We also give a sufficient condition for a graph triangulating a closed surface to quadrangulate some other surface.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
