Cochordal zero divisor graphs and Betti numbers of their edge ideals
| Autor: | Dung, Le Xuan, Vu, Thanh |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We associate a sequence of positive integers, termed the type sequence, with a cochordal graph. Using this type sequence, we compute all graded Betti numbers of its edge ideal. We then classify all positive integer $n$ such that the zero divisor graph of $\mathbb{Z}/n \mathbb{Z}$ is cochordal and determine all the graded Betti numbers of its edge ideal. Comment: Add a remark about quadratic monomial ideals having linear free resolution by Antonino Ficarra |
| Databáze: | arXiv |
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