积分一致超图

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-05-13 DOI:10.1016/j.amc.2025.129507

Lucas Portugal, Renata Del-Vecchio

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引用次数: 0

摘要

本文引入了积分超图的概念——所有邻接特征值都是整数的超图，类似于积分图。我们给出了无限族的积分一致超图，特别是由图的s扩展和k次运算建立的超图。我们的主要结果是关于一致超循环的完整性，得到了3-一致、4-一致和5-一致超循环三种特殊情况下的积分超循环的性质。从这些情况来看，一个更普遍的结果尚待确定。

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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Integral uniform hypergraphs

In this paper we introduce the concept of integral hypergraphs - hypergraphs whose all adjacency eigenvalues are integers, in analogy to integral graphs. We present infinite families of integral uniform hypergraphs, especially hypergraphs built by two operations, the s-extension of a graph and the k-power of a graph. Our main result is about integrality for uniform hypercycles, obtaining a characterization of integral hypercycles in three specific cases: 3-uniform, 4-uniform and 5-uniform hypercycles. From these cases, a more general result is left open.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.