Homological invariants of edge ideals of weighted oriented graphs
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916693482143744 |
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| author | Chau, Trung Sheng, Richie Wooton, Deborah |
| author_facet | Chau, Trung Sheng, Richie Wooton, Deborah |
| contents | We determine all possible triples of depth, dimension, and regularity of edge ideals of weighted oriented graphs with a fixed number of vertices. Also, we compute all the possible Betti table sizes of edge ideals of weighted oriented trees and bipartite~graphs with a fixed number of vertices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09703 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homological invariants of edge ideals of weighted oriented graphs Chau, Trung Sheng, Richie Wooton, Deborah Commutative Algebra Combinatorics 13D02, 05E40, 05C70, 13F55 We determine all possible triples of depth, dimension, and regularity of edge ideals of weighted oriented graphs with a fixed number of vertices. Also, we compute all the possible Betti table sizes of edge ideals of weighted oriented trees and bipartite~graphs with a fixed number of vertices. |
| title | Homological invariants of edge ideals of weighted oriented graphs |
| topic | Commutative Algebra Combinatorics 13D02, 05E40, 05C70, 13F55 |
| url | https://arxiv.org/abs/2504.09703 |