LF-覆盖与 K"{o}nig 型二项边理想
交换代数
2024-12-16 v4
摘要
我们给出了其二项边理想为 K"{o}nig 型的连通图的组合刻画，该刻画独立于 LaClair 在 arXiv:2304.13299 中给出的类似刻画而发展出来，并展示了一些满足我们判据的图类。对于任意具有 个顶点的连通哈密顿图 ，我们将 作为 -有限 -模的一个显式根计算出来。
引用
@article{arxiv.2310.14410,
title = {LF-Covers and Binomial Edge Ideals of K\"{o}nig Type},
author = {David Williams},
journal= {arXiv preprint arXiv:2310.14410},
year = {2024}
}
备注
21 pages, v4 includes more examples of LF-covers and strengthens the uniquness result of the main theorem; v3 substantially reorganises v2, several proofs have been simplified or rewritten for clarity, and small errors have been corrected (whilst the numbering has changed, no new results are introduced)