论文标题
增益签名图的矩形
Matroids of Gain Signed Graphs
论文作者
论文摘要
签名的图具有边缘符号。增益图具有从组中汲取的方向增益。我们定义了两者的组合对于阿贝尔案例，其中签名图的每个方向边缘都有从Abelian组的增益，专注于田间加成式组的情况。我们开发了基本的图形属性，相关的矩阵以及向量和超平面表示。
A signed graph has edge signs. A gain graph has oriented edge gains drawn from a group. We define the combination of the two for the abelian case, in which each oriented edge of a signed graph has a gain from an abelian group, concentrating on the case of the additive group of a field. We develop the elementary graph properties, the associated matroid, and the vector and hyperplanar representations.
