论文标题
矢量空间的组件图和有序集的零局部图
Component graphs of vector spaces and zero-divisor graphs of ordered sets
论文作者
论文摘要
在本文中，使用特殊构造的0-1个分配晶格的零分量图和环的零分离器图研究了有限维矢量空间的非零组件图和有限维矢量空间的非零组件联合图。此外，我们在非零组件图和非零组件联合图上定义了等效关系，以推断出这些图是布尔代数的零局部图和完整图的零局部图的图。在最后一节中，我们表征了完美和弦的非零组件图和非零组件联合图。
In this paper, nonzero component graphs and nonzero component union graphs of finite dimensional vector space are studied using the zero-divisor graph of specially constructed 0-1-distributive lattice and the zero-divisor graph of rings. Further, we define an equivalence relation on nonzero component graphs and nonzero component union graphs to deduce that these graphs are the graph join of zero-divisor graphs of Boolean algebras and complete graphs. In the last section, we characterize the perfect and chordal nonzero component graphs and nonzero component union graphs.
