Comparing invariants of toric ideals of bipartite graphs
| Autor: | Bhaskara, Kieran, Van Tuyl, Adam |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Proc. Amer. Math. Soc. Ser. B 10 (2023), 219-232 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1090/bproc/174 |
| Popis: | Let $G$ be a finite simple graph and let $I_G$ denote its associated toric ideal in the polynomial ring $R$. For each integer $n\geq 2$, we completely determine all the possible values for the tuple $({\rm reg}(R/I_G), {\rm deg}(h_{R/I_G}(t)),{\rm pdim}(R/I_G), {\rm depth}(R/I_G),\dim(R/I_G))$ when $G$ is a connected bipartite graph on $n$ vertices. Comment: 14 pages, updated references and added Remark 2.12, comments welcome |
| Databáze: | arXiv |
| Externí odkaz: |
|