http://10.10.120.238:8080/xmlui/handle/123456789/432| Title: | Powers of vertex cover ideals of simplicial trees |
| Authors: | Bijender Kumar A. Kumar R. |
| Keywords: | componentwise linear regularity sequentially Cohen–Macaulay symbolic powers vertex cover ideal vertex decomposable |
| Issue Date: | 2023 |
| Publisher: | John Wiley and Sons Inc |
| Abstract: | In 2011, Herzog et al. conjectured that if J is the cover ideal of a chordal graph, then (Formula presented.) is componentwise linear for all (Formula presented.). In 2022, Hà and Van Tuyl considered objects more general than chordal graphs and posed the following problem: let (Formula presented.) be the cover ideal of a simplicial tree Γ. Is it true that (Formula presented.) is componentwise linear for all (Formula presented.) In this paper, we give an affirmative answer to this problem. © 2023 Wiley-VCH GmbH. |
| URI: | https://dx.doi.org/10.1002/mana.202200510 http://localhost:8080/xmlui/handle/123456789/432 |
| ISSN: | 0025584X |
| Appears in Collections: | Journal Article |
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