某些电晕操作变体的赛德尔谱

Meiqun Cheng, Shu-Yu Cui, Gui-Xian Tian
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引用次数: 0

摘要

图的赛德尔谱被定义为其赛德尔矩阵的所有特征值的多集。近年来,人们对图的Seidel谱的研究重新产生了兴趣,并取得了一些成果。本文确定了一些电晕运算变体的Seidel谱,如两个图的边电晕、细分顶点电晕、细分顶点邻域电晕等。并完整地描述了相应的赛德尔特征向量。应用所得结果,给出了两个图的边晕、细分顶点晕和细分顶点邻域晕为Seidel积分的一些充要条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Seidel spectra of some variants of corona operations
The Seidel spectrum of a graph is defined as the multiset of all eigenvalues of its Seidel matrix. Recently, there has been a renewed interest in studying Seidel spectrum of graphs and some achievements have been made in this regard. In this paper, we determine the Seidel spectra of some variants of corona operations, such as edge corona, subdivision-vertex corona, subdivision-vertex neighbourhood corona of two graphs and so on. The corresponding Seidel eigenvectors are also described completely. Applying the obtained results, we give some sufficient and necessary conditions for edge corona, subdivision-vertex corona and subdivision-vertex neighbourhood corona of two graphs to be Seidel integral.
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