Bi-sequentially Cohen–Macaulay bipartite graphs
| العنوان: | Bi-sequentially Cohen–Macaulay bipartite graphs |
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| المؤلفون: | Hardi N. Aziz, Amir Mafi, Farnaz Seyfpour |
| المصدر: | Journal of Algebra and Its Applications. 22 |
| بيانات النشر: | World Scientific Pub Co Pte Ltd, 2022. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Algebra and Number Theory, Mathematics::Commutative Algebra, Computer Science::Information Retrieval, Applied Mathematics, Astrophysics::Instrumentation and Methods for Astrophysics, Computer Science::General Literature, Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) |
| الوصف: | Let [Formula: see text] be the polynomial ring over a field [Formula: see text], [Formula: see text] be a graph on vertex set [Formula: see text] and [Formula: see text] be its edge ideal. In this paper, we study bi-sequentially Cohen–Macaulay (bi-SCM) bipartite graphs and as consequence we classify all bi-SCM tree graphs. Furthermore, if [Formula: see text] is bi-SCM then we determine the projective dimension of [Formula: see text]. Moreover, we give some examples. |
| تدمد: | 1793-6829 0219-4988 |
| DOI: | 10.1142/s0219498823501104 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::56ae5f156d0e6d7f5fd77f1f14219a38 https://doi.org/10.1142/s0219498823501104 |
| رقم الانضمام: | edsair.doi...........56ae5f156d0e6d7f5fd77f1f14219a38 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 17936829 02194988 |
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| DOI: | 10.1142/s0219498823501104 |