论文标题
树木正方形的边缘理想
Edge ideals of squares of trees
论文作者
论文摘要
我们描述了所有树木带有属性的树木，使树的正方形的相应边缘理想具有线性分辨率。结果，我们给出了正方形是共同方案的那些树$ t $的完整表征，即正方形的补充，$（t^2）^c $，是一个和弦图。对于特定类别的树木（例如路径和双扫帚），我们确定Krull尺寸和投影尺寸。
We describe all the trees with the property that the corresponding edge ideal of the square of the tree has a linear resolution. As a consequence, we give a complete characterization of those trees $T$ for which the square is co-chordal, that is the complement of the square, $(T^2)^c$, is a chordal graph. For particular classes of trees such as paths and double brooms we determine the Krull dimension and the projective dimension.
