Name
Abstract | ||
|---|---|---|
In 1987, Kalai proved that stacked spheres of dimension d≥3 are characterised by the fact that they attain equality in Barnette's celebrated Lower Bound Theorem. This result does not extend to dimension d=2. In this article, we give a characterisation of stacked 2-spheres using what we call the separation index. Namely, we show that the separation index of a triangulated 2-sphere is maximal if and only if it is stacked. In addition, we prove that, amongst all n-vertex triangulated 2-spheres, the separation index is minimised by some n-vertex flag sphere for n≥6. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.jcta.2015.07.001 | Journal of Combinatorial Theory, Series A |
Keywords | Field | DocType |
Stacked 2-spheres,Triangulation of 3-manifolds,Tight triangulation,Tight-neighbourly triangulation | Discrete mathematics,Graph,Combinatorics,Upper and lower bounds,Triangulation,SPHERES,Conjecture,Mathematics,Manifold | Journal |
Volume | Issue | ISSN |
136 | C | 0097-3165 |
Citations | PageRank | References |
4 | 0.55 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Benjamin A. Burton | 1 | 172 | 25.57 |
| Basudeb Datta | 2 | 64 | 13.91 |
| Nitin Singh | 3 | 10 | 1.85 |
| Jonathan Spreer | 4 | 47 | 11.46 |