Z_n的Cayley图的反邻接矩阵特征值

Indonesian Journal of Combinatorics Pub Date : 2022-06-30 DOI:10.19184/ijc.2022.6.1.5

J. Daniel., K. Sugeng, N. Hariadi

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引用次数: 0

摘要

本文给出了Cay(Z_n, S)的反邻接矩阵的特征值与Cay(Z_n， (Z_n−{0})−S)的反邻接矩阵的特征值以及Cay(Z_n, S)的邻接矩阵的特征值之间的关系，然后给出了Cay(Z_n, S)的反邻接矩阵的特征值均为整数的连接集S的刻画。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Eigenvalues of antiadjacency matrix of Cayley graph of Z_n

In this paper, we give a relation between the eigenvalues of the antiadjacency matrix of Cay(Z_n, S) and the eigenvalues of the antiadjacency matrix of Cay(Z_n, (Z_n−{0})−S), as well as the eigenvalues of the adjacency matrix of Cay(Z_n, S). Then, we give the characterization of connection set S where the eigenvalues of the antiadjacency matrix of Cay(Z_n, S) are all integers.

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Indonesian Journal of Combinatorics

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