Signed graphs with two eigenvalues and vertex degree five

IF 0.6 3区数学 Q3 MATHEMATICS

Ars Mathematica Contemporanea Pub Date : 2021-07-14 DOI:10.26493/1855-3974.2329.97A

Z. Stanić

引用次数: 4

Abstract

It is known that a signed graph with exactly 2 eigenvalues must be regular, and all those whose vertex degree does not exceed 4 are known. In this paper we characterize all signed graphs with 2 eigenvalues and vertex degree 5. We also determine all signed graphs with 2 eigenvalues and 12 or 13 vertices, which is a natural step since those with a fewer number of vertices are known.

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有两个特征值，顶点度数为5的符号图

已知一个恰好有2个特征值的有符号图必须是正则的，并且所有顶点度数不超过4的有符号图都是已知的。本文刻画了所有具有2个特征值且顶点度为5的有符号图。我们还确定了所有具有2个特征值和12或13个顶点的带符号图，这是一个自然的步骤，因为已知顶点数量较少的图。

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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来源期刊

Ars Mathematica Contemporanea MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Ars mathematica contemporanea will publish high-quality articles in contemporary mathematics that arise from the discrete and concrete mathematics paradigm. It will favor themes that combine at least two different fields of mathematics. In particular, we welcome papers intersecting discrete mathematics with other branches of mathematics, such as algebra, geometry, topology, theoretical computer science, and combinatorics. The name of the journal was chosen carefully. Symmetry is certainly a theme that is quite welcome to the journal, as it is through symmetry that mathematics comes closest to art.