9 search results - page 1 / 2 » Graphs that triangulate a given surface and quadrangulate an... |
JCT
2007
13 years 4 months ago
2007
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 quadran...
CCCG
2010
13 years 6 months ago
2010
Extending a bijection recently introduced by Poulalhon and Schaeffer [15] for triangulations of the sphere we design an efficient algorithm for encoding (topological) triangulatio...
IPMI
2005
Springer
14 years 5 months ago
2005
Springer
This paper presents a general graph-theoretic technique for simultaneously segmenting multiple closed surfaces in volumetric images, which employs a novel graph-construction scheme...
DM
2002
13 years 4 months ago
2002
A simple characterization of the 3, 4, or 5-colorable Eulerian triangulations of the projective plane is given. Key words: Projective plane, triangulation, coloring, Eulerian grap...
JACM
2007
13 years 4 months ago
2007
We consider the problem of finding a shortest cycle (freely) homotopic to a given simple cycle on a compact, orientable surface. For this purpose, we use a pants decomposition of...