广义平行连接、2-和、以及段-段交换的Matroid基础
组合数学
2025-05-16 v2
摘要
我们在适当的假设条件下，展示了广义Matroid平行连接的基础是基础的相对张量积。通过该结果，我们证明了Matroid 2-和的基础是基础的绝对张量积，以及Matroid在段-段交换下的基础不变性。
引用
@article{arxiv.2404.10656,
title = {The foundation of generalized parallel connections, 2-sums, and segment-cosegment exchanges of matroids},
author = {Matthew Baker and Oliver Lorscheid and Zach Walsh and Tianyi Zhang},
journal= {arXiv preprint arXiv:2404.10656},
year = {2025}
}
备注
35 pages. v2: Added more background information and made minor expository changes