(Almost) Complete Intersection Lovász-Saks-Schrijver ideals and regularity of their powers
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910012316581888 |
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| author | Nambi, Marie Amalore Kumar, Neeraj Venugopal, Chitra |
| author_facet | Nambi, Marie Amalore Kumar, Neeraj Venugopal, Chitra |
| contents | We discuss the property of (almost) complete intersection of LSS-ideals of graphs of some special forms, like trees, unicyclic, and bicyclic graphs. Further, we give a sufficient condition for the complete intersection property of twisted LSS-ideals in terms of a new graph theoretical invariant called twisted positive matching decomposition number denoted by tpmd. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_09190 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | (Almost) Complete Intersection Lovász-Saks-Schrijver ideals and regularity of their powers Nambi, Marie Amalore Kumar, Neeraj Venugopal, Chitra Commutative Algebra Combinatorics Primary 13F65, 13F70, 13C40, Secondary 14M10, 13D02, 05E40 We discuss the property of (almost) complete intersection of LSS-ideals of graphs of some special forms, like trees, unicyclic, and bicyclic graphs. Further, we give a sufficient condition for the complete intersection property of twisted LSS-ideals in terms of a new graph theoretical invariant called twisted positive matching decomposition number denoted by tpmd. |
| title | (Almost) Complete Intersection Lovász-Saks-Schrijver ideals and regularity of their powers |
| topic | Commutative Algebra Combinatorics Primary 13F65, 13F70, 13C40, Secondary 14M10, 13D02, 05E40 |
| url | https://arxiv.org/abs/2305.09190 |