Publikation: On the (𝑆2)-condition of edge rings for cactus graphs
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2025
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Shibu Deepthi, Nayana
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Communications in Algebra. Taylor & Francis. 2025, 53(7), S. 2966-2979. ISSN 0092-7872. eISSN 1532-4125. VerfĂĽgbar unter: doi: 10.1080/00927872.2025.2451726
Zusammenfassung
A cactus graph is a connected graph in which every block is either an edge or a cycle. In this paper, we will examine cactus graphs where all the blocks are 3-cycles, i.e., triangular cactus graphs, of diameter 4. Our main focus is to prove that the corresponding edge ring of this family of graphs is not normal and satisfies Serre’s condition (𝑆2). We use a criterion due to Katthän for non-normal affine semigroup rings.
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Fachgebiet (DDC)
510 Mathematik
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Cactus graphs, edge rings, normality, odd cycle condition, Serre’s condition (S2)
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DINU, Rodica, Nayana SHIBU DEEPTHI, 2025. On the (𝑆2)-condition of edge rings for cactus graphs. In: Communications in Algebra. Taylor & Francis. 2025, 53(7), S. 2966-2979. ISSN 0092-7872. eISSN 1532-4125. Verfügbar unter: doi: 10.1080/00927872.2025.2451726BibTex
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title={On the (𝑆<sub>2</sub>)-condition of edge rings for cactus graphs},
year={2025},
doi={10.1080/00927872.2025.2451726},
number={7},
volume={53},
issn={0092-7872},
journal={Communications in Algebra},
pages={2966--2979},
author={Dinu, Rodica and Shibu Deepthi, Nayana}
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