Abstract
In this paper, we unfold balanced and totally balanced neighborhood hypergraphs to discover new classes of normally torsion-free monomial ideals. As a consequence, we establish that the closed neighborhood ideals and the dominating ideals of strongly chordal graphs are normally torsion-free. We discuss the stable sets of associated primes of the dominating ideals of cycles and characterize all the cycles with normally torsion-free dominating ideals.
Acknowledgments
The authors are deeply grateful to the anonymous referee for her/his careful reading of the manuscript and for her/his valuable, detailed and informative suggestions and comments on this manuscript.
Data availability statement
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Disclosure statement
There are no financial or non-financial competing interests.