论文标题
贪婪的矩形
Greedy weights for matroids
论文作者
论文摘要
我们介绍了由线性代码的贪婪的矩阵重量。我们表明，wei双重性适用于这两种类型的贪婪重量。此外，我们表明，在涉及的成矩阵与线性代码相关联的情况下，我们的定义与代码的定义一致。因此，我们的二元性是Schaathun给出的线性代码的概括。在本文的最后一部分中，我们展示了出现的成曲面周期的一些重要链，对应于相应矩阵的独立性复合物的最小分辨率的组成图链。我们还将这些决议的特性与链状和贪婪的重量相关联，在许多情况下出现的代码。
We introduce greedy weights of matroids, inspired by those for linear codes. We show that a Wei duality holds for two of these types of greedy weights for matroids. Moreover we show that in the cases where the matroids involved are associated to linear codes, our definitions coincide with those for codes. Thus our Wei duality is a generalization of that for linear codes given by Schaathun. In the last part of the paper we show how some important chains of cycles of the matroids appearing, correspond to chains of component maps of minimal resolutions of the independence complex of the corresponding matroids. We also relate properties of these resolutions to chainedness and greedy weights of the matroids, and in many cases codes, that appear.
