| 块为K4的cp-图的距离矩阵的行列式和逆 |
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| 引用本文： | 李瑞红,高月凤. 块为K4的cp-图的距离矩阵的行列式和逆[J]. 上海理工大学学报, 2022, 44(6): 588-591 |
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| 作者姓名： | 李瑞红 高月凤 |
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| 作者单位： | 上海理工大学 理学院，上海 200093 |
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| 基金项目： | 国家自然科学基金资助项目（12001368）；上海市青年科技英才杨帆计划（20YF1433100） |
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| 摘 要： | 基于某些特殊图矩阵的求逆结果提出了一类新的图（块为K4的cp-图）的逆矩阵求解问题，并将其与完全图求逆矩阵作对比，得出了适宜的求解方法，进而得出它的行列式与逆矩阵，均是与图中块数b相关的函数。通过初等行列式变换，求得距离矩阵的特征值和对应重数。
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| 关 键 词： | 块图 距离矩阵 行列式 逆 |
| 收稿时间： | 2021-11-19 |
The determinant and inverse for the distance matrix of the cp-graph with block of K4 |
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| LI Ruihong,GAO Yuefeng. The determinant and inverse for the distance matrix of the cp-graph with block of K4[J]. Journal of University of Shanghai For Science and Technology, 2022, 44(6): 588-591 |
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| Authors: | LI Ruihong GAO Yuefeng |
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| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | Based on the inverse results of some special graph matrices, a new class of graph (cp-graph with block K4) for the inverse matrix solving was put forward. It was compared with the inverse matrix of complete graph, and the appropriate solution method is obtained. Then, its determinant and inverse matrix are obtained, and they are the functions related to the number of blocks in the graph. The eigenvalues and corresponding multiplicity of the distance matrix are obtained by the elementary determinant transformation. |
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| Keywords: | block graph distance matrix determinant inverse |
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