拟阵及其Dressian
Matroids and their Dressians
摘要：
利用Dress和Wenzel的初始拟阵研究拟阵的Dressian。这些对应于拟阵多面体的规则拟阵细分中的细胞。提出了一种计算Dressians的有效算法，并将其应用于一系列有趣的拟阵。我们给反例的一些似是而非的陈述拟阵细分。
英文摘要：
We study Dressians of matroids using the initial matroids of Dress and Wenzel. These correspond to cells in regular matroid subdivisions of matroid polytopes. An efficient algorithm for computing Dressians is presented, and its implementation is applied to a range of interesting matroids. We give counterexamples to a few plausible statements about matroid subdivisions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
