论文标题
简单络合物的线图
Line graphs of simplicial complexes
论文作者
论文摘要
我们考虑了简单复合物的界限。我们证明，与简单图的线图一样，就可以根据其界限的组合结构来计算纯简单复合体的第二个级别的betti数字。我们还给出了这些图形的表征，这些图是某些纯简单复合物的界限图。最后，我们认为纯净的简单络合物是弦的，并研究了它们与弦线图的关系。
We consider the line graph of a simplicial complex. We prove that, as in the case of line graphs of simple graphs, one can compute the second graded Betti number of the facet ideal of a pure simplicial complex in terms of the combinatorial structure of its line graph. We also give a characterization of those graphs which are line graphs of some pure simplicial complex. In the end, we consider pure simplicial complexes which are chordal and study their relation to chordal line graphs.
