| 一类含有两个(n－1)-圈的三色有向图本原指数 |
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| 引用本文： | 罗美金,卢钰松,韦玉程.一类含有两个(n－1)-圈的三色有向图本原指数[J].兰州理工大学学报,2022,48(1):150-155. |
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| 作者姓名： | 罗美金 卢钰松 韦玉程 |
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| 作者单位： | 河池学院 数理学院, 广西 宜州 546300 |
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| 基金项目： | 国家自然科学基金;广西高校中青年教师科研基础能力提升项目;广西教育厅项目 |
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| 摘 要： | 为研究非负矩阵簇的本原指数问题,将双色有向图推广到三色有向图.利用有向图与矩阵的对应关系,研究了一类三色有向图,它的未着色图中包含n个顶点,一个n-圈和两个(n－1)-圈,给出了本原条件,指数上界,并对达到指数上界的极图进行了刻画.
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| 关 键 词： | 三色 有向图 本原条件 本原指数 |
| 收稿时间： | 2020-05-15 |
Primitive exponents of a class of three-colored digraphs with two (n-1 )-cycles |
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| LUO Mei-jin,LU Yu-song,WEI Yu-cheng.Primitive exponents of a class of three-colored digraphs with two (n-1 )-cycles[J].Journal of Lanzhou University of Technology,2022,48(1):150-155. |
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| Authors: | LUO Mei-jin LU Yu-song WEI Yu-cheng |
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| Institution: | School of Mathematics and Physics, Hechi University, Yizhou 546300, China |
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| Abstract: | In order to study the primitive exponent problem of nonnegative matrix pairs, the two-colored digraphs are extended to three-colored digraphs. Using the corresponding relation between a digraph and a matrix, a class of primitive three-colored digraphs whose uncolored digraphs has n vertices, consists of one n-cycle and two (n－1)-cycles is studied. Some primitive conditions, a tight upper bound of primitive exponents and the characterization of extremal three-colored digraphs are given. |
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| Keywords: | three-colored digraph primitive condition primitive exponent |
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