论文标题
关于偏斜增益图的特征多项式
On the Characteristic Polynomial of Skew Gain Graphs
论文作者
论文摘要
增益图是给出边缘一些方向并用元素（称为收益）的元素标记的图形图，因此当我们逆转边缘方向时，增益会倒置。概括增益图的概念，偏差图具有以下属性，即反向边缘的增益是在反凝结下的边缘增益图像。在本文中，我们处理了偏斜增益图的邻接矩阵，并在特征零字段及其特征性多项式上具有涉及的自动形态。还讨论了某些特定偏斜增益图的光谱。同时，有趣的是，加权图是偏斜增益图的特定情况。
Gain graphs are graphs where the edges are given some orientation and labeled with the elements (called gains) from a group so that gains are inverted when we reverse the direction of the edges. Generalizing the notion of gain graphs, skew gain graphs have the property that the gain of a reversed edge is the image of edge gain under an anti-involution. In this paper, we deal with the adjacency matrix of skew gain graphs with involutive automorphism on a field of characteristic zero and their charactersitic polynomials. Spectra of some particular skew gain graphs are also discussed. Meanwhile it is interesting to note that weighted graphs are particular cases of skew gain graphs.
