| 剖分图的联图的距离矩阵相关谱 |
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| 引用本文： | 卢鹏丽,栾睿,刘文智.剖分图的联图的距离矩阵相关谱[J].兰州理工大学学报,2022,48(3):154. |
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| 作者姓名： | 卢鹏丽 栾睿 刘文智 |
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| 作者单位： | 兰州理工大学 计算机与通信学院, 甘肃 兰州 730050 |
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| 基金项目： | 国家自然科学基金(11361033,11861045) |
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| 摘 要： | 利用正则图的关联矩阵与其邻接矩阵及其线图的邻接矩阵间的关系,证明了两个正则图的剖分边边联图、剖分点点联图和剖分点边联图的距离谱、距离拉普拉斯谱和距离无符号拉普拉斯谱可表示为原图的邻接谱.
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| 关 键 词： | 距离谱 距离拉普拉斯谱 距离无符号拉普拉斯谱 |
| 收稿时间： | 2020-12-03 |
The spectra of distance related matrices of some subdivision join graphs of regular graphs |
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| LU Peng-li,LUAN Rui,LIU Wen-zhi.The spectra of distance related matrices of some subdivision join graphs of regular graphs[J].Journal of Lanzhou University of Technology,2022,48(3):154. |
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| Authors: | LU Peng-li LUAN Rui LIU Wen-zhi |
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| Institution: | School of Computer and Communication, Lanzhou Univ. of Tech., Lanzhou 730050, China |
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| Abstract: | By using the relationship of the incidence matrix and the adjacency matrices of a regular graph and its line graph, the spectra of the distance matrices, distance Laplacian matrices and distance signless Laplacian matrices of the subdivision-edge join, subdivision-vertex join, subdivision-(vertex-edge) join of two regular graphs are proved to be presented by the adjacency spectra of their original graphs. |
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| Keywords: | distance spectrum distance Laplacian spectrum distance signless Laplacian spectrum |
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