A note on minimal triangulations of an n-cube
β Scribed by John F. Sallee
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 219 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The following combinatorial problem, which arose in game theory, is solved here: To tind a selt of vertices of ;P given size (in t.k nxube) which has a maximal number sf interconnecting edges,
The following problem of Yuzvinsky is solved here: how many vertices of the n-cube must be removed from it in order that no connected component of the rest contains an antipodal pair of vertices? Some further results and problems are described as well.
A Lattice L(X) is defined starting from a cubical lattice L and an increasing diagonally closed subset X of L (Section 1). The lattice L(X) are proved to be--up to isomorphism--precisely those of signed simplexes of a simplical complex (Section 2); furthermore, an algebraic combinatorial characteriz