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math.AC2022★ 1 cited
Algebraic implications of neighborhood hypergraphs and their transversal hypergraphs
Mehrdad Nasernejad, Ayesha Asloob Qureshi
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 tha…
math.AC2022
Normality and associated primes of Closed neighborhood ideals and dominating ideals
Mehrdad Nasernejad, Somayeh Bandari, Leslie G. Roberts
In this paper, we first give some sufficient criteria for normality of monomial ideals. As applications, we show that closed neighborhood ideals of complete bipartite graphs are no…