Abstract
AbstractIn 2011, Herzog et al. conjectured that if is the cover ideal of a chordal graph, then is componentwise linear for all . In 2022, Hà and Van Tuyl considered objects more general than chordal graphs and posed the following problem: let be the cover ideal of a simplicial tree . Is it true that is componentwise linear for all In this paper, we give an affirmative answer to this problem.
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