Article
| Title: | Regularity of powers of binomial edge ideals of complete multipartite graphs (English) |
| Author: | Wang, Hong |
| Author: | Tang, Zhongming |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 3 |
| Year: | 2023 |
| Pages: | 793-810 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $G=K_{n_1,n_2,\ldots ,n_r}$ be a complete multipartite graph on $[n]$ with $n>r>1$ and $J_G$ being its binomial edge ideal. It is proved that the Castelnuovo-Mumford regularity ${\rm reg}(J^t_G)$ is $2t+1$ for any positive integer $t$. (English) |
| Keyword: | Castelnuovo-Mumford regularity |
| Keyword: | binomial edge ideal |
| Keyword: | multipartite graph |
| MSC: | 05E40 |
| MSC: | 13D02 |
| idZBL: | Zbl 07729538 |
| idMR: | MR4632858 |
| DOI: | 10.21136/CMJ.2023.0246-22 |
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| Date available: | 2023-08-11T14:24:00Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151775 |
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