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| 扩容图及其谱性质 | |
| 引用本文： | 阿勇嘎,斯钦. 扩容图及其谱性质[J]. 宝鸡文理学院学报(自然科学版), 2009, 29(1) |
| 作者姓名： | 阿勇嘎 斯钦 |
| 作者单位： | 内蒙古师范大学,数学科学学院,内蒙古,呼和浩特,010022 |
| 基金项目： | 内蒙古自治区自然科学基金 |
| 摘 要： | 目的 研究扩容图的若干性质.方法 用代数分析法研究图的结构.结果 利用图的剖分线图的结构,给出了新的广义线图,我们称之为扩容图.结论 讨论了扩容图的若干基本性质,给出了图与其扩容图参数之间的关系,并由此确定了扩客图谱性质. |
| 关 键 词： | 扩容图 谱 图的特征矩阵 两个矩阵的交错特征值 |
The expansion graph and the properties of its spectrum |
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| A Yong-ga,SI Qin. The expansion graph and the properties of its spectrum[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2009, 29(1) | |
| Authors: | A Yong-ga SI Qin |
| Affiliation: | College of Mathematic Science;Inner Mongolia Normal University;Huhhot 010022;Inner Monglia;China |
| Abstract: | Aim The properties of the expansion graph were investigated.Methods The construction of graphs was analyzed with the algebraic analytical method.Results Using the construction of the line graph of the subdivision graph,expansion graph,a new generalized line graph,was given.Conclusion Some properties of the expansion graph was discussed,the parameters of graph and its expansion graph were given,hence properties of the spectrum of the expansion graph were determined. |
| Keywords: | expansion graph spectrum characteristic matrix eigenvalue of alternate matrices |
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