The A(alpha) spectral radius and maximum outdegree of irregular digraphs

Xi Weige; Wang Ligong

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The A(alpha) spectral radius and maximum outdegree of irregular digraphs

机译：a（alpha）光谱半径和不规则数字的最大欠仓

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摘要

Let G be a digraph with adjacency matrix A(G). Let D(G) be the diagonal matrix with outdegrees of vertices of G. In this paper, we study the convex linear combinations of A(G) and D(G), defined as

机译：设G是邻接矩阵a（G）的有向图。设D（G）是G顶点出度的对角矩阵。本文研究了A（G）和D（G）的凸线性组合，定义为

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来源
《Discrete optimization》 |2020年第1期|共13页
作者
Xi Weige; Wang Ligong;
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作者单位

Northwest A&

F Univ Coll Sci Yangling 712100 Shaanxi Peoples R China;

Northwestern Polytech Univ Sch Math &

Stat Xian 710129 Shaanxi Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类计算数学;
关键词
Strongly connected; A(alpha) spectral radius; Irregular digraph;

机译：强烈连接;（alpha）光谱半径;不规则的数字;

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1. On the Maximum Spectral Radius of （m, n）-trees with Given Diameter [J] . CHENG, Wei, TAN, 数学季刊：英文版 . 2006,第001期
2. The Characterization of Primitive Symmetric Signed Digraphs with the Second Maximum Base [J] . Lihua YOU, Shuyong YI 数学研究及应用：英文版 . 2013,第004期
3. On the maximum arc-chromatic number of digraphs with bounded outdegrees or indegrees [J] . Xu Chuandong, Zhang Shenggui, Wang Yi Information Processing Letters . 2015,第12期

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4. A Note on Spectral Radius and Maximum Degree of Irregular Graphs [J] . Feng Rongquan, Zhang Wenqian Graphs and combinatorics . 2021,第3期

机译：关于光谱半径和不规则图的最大程度的注释
5. A New Result on Spectral Radius and Maximum Degree of Irregular Graphs [J] . Zhang Wenqian Graphs and combinatorics . 2021,第3期

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6. The Minimum Spectral Radius of Strongly Connected Bipartite Digraphs with Complete Bipartite Subdigraph [C] . Shu-Ting Chen, Shui-Li Chen, Wei-Quan Liu International Conference on Quantitative Logic and Soft Computing . 2016

机译：具有完整的双链子层的强连接二分形数字的最小光谱半径
7. Positive control with maximum stability radius for continuous-time dynamic systems. [D] . Oghbaee, Amirreza. 2015

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8. Kernel partial diagnostic robust potential to handle high-dimensional and irregular data space on near infrared spectral data [O] . Divo Dharma Silalahi, Habshah Midi, Jayanthi Arasan, 2020

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9. The spectral radius and the maximum degree of irregular graphs [O] . Cioabă, Sebastian M. 2007

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10. The Maximum and Minimum of a Positive Definite Quadratic Polynomial on a Sphere Are Convex Functions of the Radius [R] . Forsythe, G. E. 1969

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The A(alpha) spectral radius and maximum outdegree of irregular digraphs

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