图的顶点矩阵加权Zeta函数
A Vertex Matrix-Weighted Zeta Function of a Graph
DOI: 10.12677/pm.2024.145162, PDF,   
作者: 考梦诗：上海理工大学理学院，上海
关键词: Zeta函数；顶点矩阵加权；L-函数；二部图；Zeta Function； Vertex Matrix-Weight； L-Function； Bipartite Graph
摘要: 对于一个图，定义了它的顶点矩阵加权zeta函数，并给出了相对应的行列式表达式。之后定义了图的顶点矩阵加权L-函数。然后对于二部图给出了其顶点矩阵加权zeta函数和L-函数的具体形式。最后计算了二部图zeta函数的例子。
Abstract: We define a vertex matrix-weighted zeta function of a graph, and give a determinant expression of it. Then we give the L-function in this weight. Furthermore, we define a vertex matrix-weighted zeta function of a bipartite graph, and give the determinant expression of zeta function and L-function of a bipartite graph. Finally, we give an example of the zeta function of a bipartite graph.
文章引用：考梦诗. 图的顶点矩阵加权Zeta函数[J]. 理论数学, 2024, 14(5): 69-77. https://doi.org/10.12677/pm.2024.145162

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