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| 双圈图的无符号拉普拉斯谱半径和谱展 | |
| 引用本文： | 孙丰妹,王力工. 双圈图的无符号拉普拉斯谱半径和谱展[J]. 数学研究及应用, 2014, 34(2): 127-136 |
| 作者姓名： | 孙丰妹 王力工 |
| 作者单位： | 西北工业大学理学院应用数学系, 陕西 西安 710072;西北工业大学理学院应用数学系, 陕西 西安 710072 |
| 基金项目： | 国家自然科学基金(Grant No.11171273),西北工业大学研究生创业种子基金(Grant No.Z2014173). |
| 摘 要： | The signless Laplacian spread of a graph is defined to be the difference between the largest eigenvalue and the smallest eigenvalue of its signless Laplacian matrix. In this paper, we determine the first to llth largest signless Laplacian spectral radii in the class of bicyclic graphs with n vertices. Moreover, the unique bicyclic graph with the largest or the second largest signless Laplacian spread among the class of connected bicyclic graphs of order n is determined, respectively. |
| 关 键 词： | Laplace谱半径 双圈图 Laplace矩阵 最小特征值 传播 扩散 顶点 |
| 收稿时间： | 2013-04-10 |
| 修稿时间： | 2013-10-12 |
The Signless Laplacian Spectral Radii and Spread of Bicyclic Graphs |
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| Fengmei SUN and Ligong WANG. The Signless Laplacian Spectral Radii and Spread of Bicyclic Graphs[J]. Journal of Mathematical Research with Applications, 2014, 34(2): 127-136 | |
| Authors: | Fengmei SUN and Ligong WANG |
| Affiliation: | Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Shaanxi 710072, P. R. China;Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Shaanxi 710072, P. R. China |
| Abstract: | The signless Laplacian spread of a graph is defined to be the difference between the largest eigenvalue and the smallest eigenvalue of its signless Laplacian matrix. In this paper, we determine the first to 11th largest signless Laplacian spectral radii in the class of bicyclic graphs with $n$ vertices. Moreover, the unique bicyclic graph with the largest or the second largest signless Laplacian spread among the class of connected bicyclic graphs of order $n$ is determined, respectively. |
| Keywords: | bicyclic graph signless Laplacian spread spectral radius. |
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