Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs
| Autor: | Kosuke Shibata, Naoki Terai, S. A. Seyed Fakhari, Siamak Yassemi |
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| Rok vydání: | 2020 |
| Předmět: |
Algebra and Number Theory
Mathematics::Commutative Algebra 010102 general mathematics 010103 numerical & computational mathematics Edge (geometry) Mathematics - Commutative Algebra Commutative Algebra (math.AC) 01 natural sciences Combinatorics FOS: Mathematics Mathematics - Combinatorics Computer Science::Symbolic Computation Combinatorics (math.CO) 0101 mathematics Mathematics |
| DOI: | 10.48550/arxiv.2003.12379 |
| Popis: | We characterize unmixed and Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs. We also provide examples of oriented graphs which have unmixed and non-Cohen-Macaulay vertex-weighted edge ideals, while the edge ideal of their underlying graph is Cohen-Macaulay. This disproves a conjecture posed by Pitones, Reyes and Toledo. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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