Resumen
We present a method of lifting linear inequalities for the flag f-vector of polytopes to higher dimensions. Known inequalities that can be lifted using this technique are the non-negativity of the toric g-vector and that the simplex minimizes the cd-index. We obtain new inequalities for six-dimensional polytopes. In the last section we present the currently best known inequalities for dimensions 5 through 8.
| Idioma original | English |
|---|---|
| Páginas (desde-hasta) | 205-222 |
| Número de páginas | 18 |
| Publicación | Advances in Mathematics |
| Volumen | 193 |
| N.º | 1 |
| DOI | |
| Estado | Published - may 1 2005 |
Nota bibliográfica
Funding Information:The author was partially supported by National Science Foundation grant 0200624. I would like to thank the MIT Mathematics Department for their kind support where this research was initiated while the author was a Visiting Scholar. I also thank the Institute for Advanced Study where the calculations were carried out. The author also thanks Margaret Readdy for many helpful suggestions and the two referees for useful comments.
Financiación
The author was partially supported by National Science Foundation grant 0200624. I would like to thank the MIT Mathematics Department for their kind support where this research was initiated while the author was a Visiting Scholar. I also thank the Institute for Advanced Study where the calculations were carried out. The author also thanks Margaret Readdy for many helpful suggestions and the two referees for useful comments.
| Financiadores | Número del financiador |
|---|---|
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | 0200624 |
ASJC Scopus subject areas
- General Mathematics