Name
Title | ||
|---|---|---|
Three-manifolds with Heegaard genus at most two represented by crystallisations with at most 42 vertices |
Abstract | ||
|---|---|---|
It is known that every closed compact orientable 3-manifold M can be represented by a 4-edge-coloured 4-valent graph called a crystallisation of M. Casali and Grasselli proved that 3-manifolds of Heegaard genus g can be represented by crystallisations with a very simple structure which can be described by a 2(g+1)-tuple of non-negative integers. The sum of first g+1 integers is called complexity of the admissible 2(g+1)-tuple. If c is the complexity then the number of vertices of the associated graph is 2c. In the present paper we describe all prime 3-manifolds of Heegaard genus two described by 6-tuples of complexity at most 21. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.disc.2006.11.017 | Discrete Mathematics |
Keywords | Field | DocType |
crystallisation,57n10 (57q15),fundamental group,first homology group,three-manifold | Prime (order theory),Integer,Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Tuple,Fundamental group,Manifold,Mathematics | Journal |
Volume | Issue | ISSN |
307 | 21 | Discrete Mathematics |
Citations | PageRank | References |
1 | 0.44 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| JáN Karabáš | 1 | 3 | 2.19 |
| Peter Maličký | 2 | 1 | 0.44 |
| Roman Nedela | 3 | 392 | 47.78 |