论文标题
准F-Splicial复合物和准F图形
Quasi f-Simplicial Complexes and Quasi f-Graphs
论文作者
论文摘要
$ f $ - 理想的概念是最近的，到目前为止已经在几篇论文中进行了研究。在\ cite {qfi}中，$ f $ - 理想的想法被推广到quasi $ f $ -Ideals，该类别比$ f $ - 理想的类要大得多。在本文中，我们介绍了Quasi $ f $ -simplicial Complex和Quasi $ f $ -graph的概念。我们给出了$ n $顶点上的准$ f $ graphs的特征。描述了准$ f $ simplicial复合物的完整解决方案。我们还展示了一种构建Cohen-Macaulay Quasi $ f $ graphs的方法。
The notion of $f$-ideal is recent and has so far been studied in several papers. In \cite{qfi}, the idea of $f$-ideal is generalized to quasi $f$-ideals, which is much larger class than the class of $f$-ideals. In this paper, we introduce the concept of quasi $f$-simplicial complex and quasi $f$-graph. We give a characterization of quasi $f$-graphs on $n$ vertices. A complete solution of connectedness of quasi $f$-simplicial complexes is described. We have also shown a method of constructing Cohen-Macaulay quasi $f$-graphs.
