关于Seidel和Seidel-Laplace矩阵的一个注记

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI:10.5269/bspm.51593

Jalal Askari

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引用次数: 0

摘要

本文研究了图的塞德尔矩阵和塞德尔拉普拉斯矩阵的谱。推广了用Seidel矩阵表示的Seidel拉普拉斯矩阵的概念，得到了与之相关的一些结果。这可以直观地理解为通过萨格勒布指数图中的Seidel和Seidel拉普拉斯矩阵之间的关系的结果。最后，我们提到了塞德尔矩阵和塞德尔拉普拉斯矩阵的一些替代和推广。得到了与所有n阶图相关的Seidel和Seidel拉普拉斯能量之间的关系。

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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A note on the Seidel and Seidel Laplacian matrices

In this paper we investigate the spectrum of the Seidel and Seidel Laplacian matrix of a graph. We generalized the concept of Seidel Laplacian matrix which denoted by Seidel matrix and obtained some results related to them. This can be intuitively understood as a consequence of the relationship between the Seidel and Seidel Laplacian matrix in the graph by Zagreb index. In closing, we mention some alternatives to and generalization of the Seidel and Seidel Laplacian matrices. Also, we obtain relation between Seidel and Seidel Laplacian energy, related to all graphs with order n.

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