奇偶二项边理想的符号幂与普通幂的比较

Monatshefte für Mathematik Pub Date : 2023-11-02 DOI:10.1007/s00605-023-01912-4

Nadia Taghipour, Shamila Bayati, Farhad Rahmati

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引用次数: 0

摘要

本文研究了图的宇称二项边理想的符号幂和普通幂不相等的情况。结果表明，如果$${\mathcal {I}}_{G}$$是图G的宇称二项边理想，则在下列情况下，对于某t，符号幂$${\mathcal {I}}_{G}^{(t)}$$与普通幂$${\mathcal {I}}_{G}^t$$不相等:(i) G的团数大于3;G有一个网;或者(iii) G有一个PT作为诱导子图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Comparison of symbolic and ordinary powers of parity binomial edge ideals

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Comparison of symbolic and ordinary powers of parity binomial edge ideals

In this paper, we investigate when symbolic and ordinary powers of the parity binomial edge ideal of a graph fail to be equal. It turns out that if $${\mathcal {I}}_{G}$$ is the parity binomial edge ideal of a graph G, then in each of the following cases the symbolic power $${\mathcal {I}}_{G}^{(t)}$$ and the ordinary power $${\mathcal {I}}_{G}^t$$ are not equal for some t: (i) the clique number of G is greater than 3; (ii) G has a net; or (iii) G has a PT as an induced subgraph.

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Monatshefte für Mathematik

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