The Frank graph

doi:10.2989/16073606.2025.2607410

2026-01-01

PRE

Mersin, Efruz Ozlem *

Maden, Ayse Dilek

Bahsi, Mustafa

DOI：10.2989/16073606.2025.2607410

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摘要

En 中文

本文介绍了弗兰克图，一种带有自环的特殊加权有向图，其邻接矩阵对应于弗兰克矩阵，一种特殊的Max矩阵。我们推导了该图的谱半径和能量的界，并通过数值例子说明了这些结果。通过研究谱性质并将能量分析扩展到带有自环的加权有向图，本研究提供了新的见解，并为具有特殊邻接矩阵的图的未来研究提供了参考。

Keyword:

Frank graph

Frank matrix

spectral radius

weighted digraph

期刊

Quaestiones Mathematicae

IF:

0.8

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机构

Selcuk University

学者数:

4.5K

论文数: 4.4K

被引数: 53

Aksaray University

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1.2K

论文数: 1.3K

被引数: 915

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