Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals
Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals
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边缘理想二次方的 Cohen-Macaulayness 的组合表征
DOI：
10.1016/j.jcta.2013.02.008
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
T. N. Trung
中科院分区：
文献类型：
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作者：
D. T. Hoang;N. Minh;T. N. Trung
设I（G）是简单图G的边理想.本文给出了G的边理想的第二符号方幂和第二普通方幂分别为Cohen-Macaulay（？）Buchsbaum，generalized Cohen-Macaulay）.作为我们结果的一个应用，我们将分类所有的二部图，其中第二（符号）权力是科恩-麦考利（分别。Buchsbaum，generalized Cohen-Macaulay）.
Let I(G) be the edge ideal of a simple graph G. In this paper, we will give sufficient and necessary combinatorial conditions of G in which the second symbolic and ordinary power of its edge ideal are Cohen–Macaulay (resp. Buchsbaum, generalized Cohen–Macaulay). As an application of our results, we will classify all bipartite graphs in which the second (symbolic) powers are Cohen–Macaulay (resp. Buchsbaum, generalized Cohen–Macaulay).