Name
Abstract | ||
|---|---|---|
We investigate slicings of combinatorial manifolds as properly embedded co-dimension 1 submanifolds. Focus is given to the case of dimension 3, where slicings are (discrete) normal surfaces. For the cases of 2-neighborly 3-manifolds as well as quadrangulated slicings, lower bounds on the number of quadrilaterals of slicings depending on its genus g are presented. These are shown to be sharp for infinitely many values of g. Furthermore, we classify slicings of combinatorial 3-manifolds which are weakly neighborly polyhedral maps. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.disc.2011.03.013 | Discrete Mathematics |
Keywords | Field | DocType |
heegaard genus,combinatorial heegaard splitting,slicing,normal surface,heegaard splitting.,combinatorial manifold,weakly neighborly polyhedral map,lower bound,heegaard splitting | Combinatorics,Upper and lower bounds,Quadrilateral,Normal surface,Mathematics,Manifold | Journal |
Volume | Issue | ISSN |
311 | 14 | Discrete Mathematics |
Citations | PageRank | References |
5 | 0.83 | 4 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jonathan Spreer | 1 | 47 | 11.46 |