谱中没有零的图

IF 0.6 3区数学 Q3 MATHEMATICS Analysis Mathematica Pub Date : 2024-11-22 DOI:10.1007/s10476-024-00056-3

C. Anné, H. Ayadi, M. Balti, N. Torki-Hamza

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引用次数: 0

摘要

本文考虑作用于1型的离散拉普拉斯算子，并研究了它的谱与0型拉普拉斯算子谱的关系。我们证明了这些性质相同的拉普拉斯算子的非零谱可以重合。与图的循环相比，我们研究了1-形式拉普拉斯算子的0谱的特征。

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 graph without zero in its spectra

In this paper we consider the discrete Laplacian acting on 1-forms and we study its spectrum relative to the spectrum of the 0-form Laplacian. We show that the nonzero spectrum can coincide for these Laplacians with the same nature. We examine the characteristics of 0-spectrum of the 1-form Laplacian compared to the cycles of graphs.

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来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.

期刊最新文献

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