论文标题
纯粹分辨率的平价二项式边缘理想
Parity Binomial Edge Ideals with Pure Resolutions
论文作者
论文摘要
我们提供了所有图表的表征,其奇偶校验二线边缘理想具有纯粹的分辨率。特别是,我们表明,当且仅当相应的图是完整的两部分图或路径和奇数循环的不连接时,且仅当相应的图是奇迹二项式边缘理想的最小自由分辨率是纯粹的。
We provide a characterisation of all graphs whose parity binomial edge ideals have pure resolutions. In particular, we show that the minimal free resolution of a parity binomial edge ideal is pure if and only if the corresponding graph is a complete bipartite graph, or a disjoint union of paths and odd cycles.