非负张量和一致超图的Pareto h特征值

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2023-08-02 DOI:10.13001/ela.2023.7839

Lu Zheng, Bo Zhou

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引用次数: 0

摘要

研究了非负张量和（的邻接张量）一致超图的Pareto H-特征值。特别地，证明了非负张量的Pareto H-特征值只是其弱不可约主子传感器的谱半径，并且确定了在几个已知的一致超图类上最小化或最大化第二大Pareto H-本征值的那些超图。

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Pareto H-eigenvalues of nonnegative tensors and uniform hypergraphs

The Pareto H-eigenvalues of nonnegative tensors and (adjacency tensors of) uniform hypergraphs are studied. Particularly, it is shown that the Pareto H-eigenvalues of a nonnegative tensor are just the spectral radii of its weakly irreducible principal subtensors, and those hypergraphs that minimize or maximize the second largest Pareto H-eigenvalue over several well-known classes of uniform hypergraphs are determined.

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.