论文标题
2和3型矩形的未成年人
The excluded minors for 2- and 3-regular matroids
论文作者
论文摘要
2个常规的矩形类是常规和近规则的矩阵的自然概括。我们证明了2种常规矩形类别的排除较小表征。 3个规范的矩形类别与在hydra-5部分字段中代表的矩形类别以及班级中的3个连接的Matroids的类别具有$ u_ {2,5} $ - 或$ u_ {3,5,5} $ - 较小的是六个具有六个对等值的gf（5）。我们还证明，该班级的一个被排除在外的未成年人最多有15个要素。
The class of 2-regular matroids is a natural generalisation of regular and near-regular matroids. We prove an excluded-minor characterisation for the class of 2-regular matroids. The class of 3-regular matroids coincides with the class of matroids representable over the Hydra-5 partial field, and the 3-connected matroids in the class with a $U_{2,5}$- or $U_{3,5}$-minor are precisely those with six inequivalent representations over GF(5). We also prove that an excluded minor for this class has at most 15 elements.
