论文标题
邻里超图及其横向超图的代数影响
Algebraic implications of neighborhood hypergraphs and their transversal hypergraphs
论文作者
论文摘要
在本文中，我们展开了平衡且完全平衡的邻里超图，以发现通常无扭转的单一理想的新类别。结果，我们确定封闭的邻里理想和强烈弦图的主导理想通常不含扭转。我们讨论了循环的主导理想的稳定集合，并以通常无扭转的主导理想来表征所有周期。
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.
