Some Cohen–Macaulay and Unmixed Binomial Edge Ideals
Some Cohen–Macaulay and Unmixed Binomial Edge Ideals
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DOI：
10.1080/00927872.2014.952734
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发表时间：
2015-06
影响因子：
0.7
通讯作者：
D. Kiani;Sara Saeedi Madani
中科院分区：
文献类型：
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作者：
D. Kiani;Sara Saeedi Madani
我们研究某些类图的二项式边理想的非混合性质和 Cohen-Macaulay 性质。我们计算广义框图的二项式边理想的深度。我们还描述了所有二项式边理想为 Cohen-Macaulay 且未混合的广义框图。这样我们就可以将 Ene、Herzog 和 Hibi 的结果推广到框图上。此外，我们研究了一些图产品的二项式边缘理想的非混合性和科恩-麦考利性，例如两个图相对于原始图的连接和晕。
We study unmixed and Cohen-Macaulay properties of the binomial edge ideal of some classes of graphs. We compute the depth of the binomial edge ideal of a generalized block graph. We also characterize all generalized block graphs whose binomial edge ideals are Cohen–Macaulay and unmixed. So that we generalize the results of Ene, Herzog, and Hibi on block graphs. Moreover, we study unmixedness and Cohen–Macaulayness of the binomial edge ideal of some graph products such as the join and corona of two graphs with respect to the original graphs.