Name
Abstract | ||
|---|---|---|
. In 1988 Kalai [5] extended a construction of Billera and Lee to produce many triangulated (d-1) -spheres. In fact, in view of the upper bounds on the number of simplicial d -polytopes by Goodman and Pollack [2], [3], he derived that for every dimension d≥ 5 , most of these (d-1) -spheres are not polytopal. However, for d=4 , this reasoning fails. We can now show that, as already conjectured by Kalai, all of his 3-spheres are in fact polytopal.
We also give a shorter proof for Hebble and Lee's result [4] that the dual graphs of these 4 -polytopes are Hamiltonian. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1007/s00454-001-0074-3 | Electronic Notes in Discrete Mathematics |
Keywords | Field | DocType |
upper bound | Topology,Graph,Combinatorics,Hamiltonian (quantum mechanics),Triangulation,Polytope,SPHERES,Mathematics | Journal |
Volume | Issue | ISSN |
27 | 3 | Electronic Notes in Discrete Mathematics |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Julian Pfeifle | 1 | 31 | 6.56 |