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| 单圈图的最小无号Laplacian谱展 | |
| 引用本文： | 游志福. 单圈图的最小无号Laplacian谱展[J]. 华南师范大学学报(自然科学版), 2013, 45(4)-0 |
| 作者姓名： | 游志福 |
| 作者单位： | 1.广东技术师范学院 |
| 基金项目： | 国家自然科学基金数学天元基金项目 |
| 摘 要： | 利用图的无号Laplacian特征值的内插定理，得到了图和其去悬挂点子图的无号Laplacian谱展的大小关系，结合逐渐删去单圈图的悬挂点的图操作，和计算某些特殊单圈图的无号Laplacian谱展的值，确定了n阶单圈图类中具有最小无号Laplacian谱展的图. |
| 关 键 词： | 单圈图 |
| 收稿时间： | 2013-01-04 |
The Minimum Signless Laplacian Spread of Unicyclic Graphs |
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| YOU Zhifu. The Minimum Signless Laplacian Spread of Unicyclic Graphs[J]. Journal of South China Normal University(Natural Science Edition), 2013, 45(4)-0 | |
| Authors: | YOU Zhifu |
| Abstract: | By using the interlacingtheorem of the signless Laplacian eigenvalues, the relationshipon the signless Laplacian spread of a graph and an pendentvertex-deleted subgraph is established. Combined the graphoperation of gradually deleting pendent vertices of uncyclicgraph, and calculated the signless Laplacian spread of somespecial unicyclic graphs, the graph with minimum signlessLaplacian spread is determined among the class of unicyclic graphswith n vertices. |
| Keywords: | signless Laplacian spread unicyclic graph |
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