扫帚图与双扫帚图平方的闭邻域理想
On the closed neighborhood ideal of the square of broom and double broom graphs
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中文总结 AI 辅助
本文研究无平方项单项式理想，以图等组合对象性质表达其代数不变量，聚焦扫帚图与双扫帚图平方的闭邻域理想，搭建交换代数与组合数学的关联桥梁。
中文摘要 AI 辅助
无平方项的单项式理想类被深入研究，它是交换代数与组合数学两大数学领域间的重要纽带，其诸多代数不变量可通过相关组合对象（图、单纯复形等）的性质给出。
英文摘要
Classes of squarefree monomial ideals were intensively studied being an important connection between two main areas in mathematics: commutative algebra and combinatorics. Many algebraic invariants of the squarefree monomial ideals are given in terms of properties of the combinatorial associated objects (graphs, simplicial complexes etc.).
发表机构
- Faculty of Marine Engineering, Romanian Naval Academy “Mircea cel Bătrân”（罗马尼亚海军学院“米尔恰·切·巴特兰”海事工程学院）
- Faculty of Applied Sciences, National University of Science and Technology Politehnica Bucharest（布加勒斯特理工大学国家科学与技术大学应用科学学院）
机构由 AI 辅助整理，请以论文原文为准。
