论文标题

可实现的粘性矩阵猜想

Realizable Sticky Matroid Conjecture

论文作者

Shin, Jaeho

论文摘要

我们给出了等级4高温矩形模块化扩展的标准,并证明了Kantor对等级4可实现的矩阵的猜想的削弱。这证明了由于Bachem,Kern和Bonin的论点,由于Hochstattler和Wilhelmi的等价论证,这证明了可实现的Matroid的粘性猜想和Kantor的猜想。

We give a criterion for modular extension of rank-4 hypermodular matroids, and prove a weakening of Kantor's conjecture for rank-4 realizable matroids. This proves the sticky matroid conjecture and Kantor's conjecture for realizable matroids due to an argument of Bachem, Kern, and Bonin, and due to an equivalence argument of Hochstattler and Wilhelmi, respectively.

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