关于k-一致有向超图的谱理论

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI:10.2298/AADM180213022S

G. Shirdel, A. Mortezaee, E. Golpar-Raboky

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引用次数: 0

摘要

本文研究了一般形式的k-一致有向超图，并引入了它的相关张量。我们给出了不同的谱性质，并证明其中一些是对无向超图经典结果的推广。给出了奇二部有向超图的符号，研究了奇二部有向超图的谱性质及其与无向超图的谱性质的比较。我们还介绍了幂有向超图和核有向超图，并研究了它们的谱性质。

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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On spectral theory of a k-uniform directed hypergraph

In this paper, we study a k-uniform directed hypergraph in general form and introduce its associated tensors. We present different spectral properties and show that some of them are generalization of the classical results for undirected hypergraphs. The notation of odd-bipartite directed hypergraph are presented and some spectral properties and characterizations of them comparing with ones in undirected hypergraphs are studied. We also introduce power directed hypergraph and cored directed hypergraph and investigate their spectral properties.

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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).