| 张海霞.按Laplace谱半径对一些偶单圈图的排序[J].,2014,54(1):152-156 |
| 按Laplace谱半径对一些偶单圈图的排序 |
| Some even-unicyclic graphs ordering by their Laplacian spectral radii |
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| DOI：10.7511/dllgxb201401023 |
| 中文关键词: 单圈图 最大Laplace特征值 排序 |
| 英文关键词: unicyclic graphs maximum Laplacian eigenvalues ordering\@ |
| 基金项目:山西省自然科学基金资助项目(2012011019-2)；太原科技大学校青年基金资助项目(20113022) |
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| 中文摘要: |
| 研究一些偶单圈图按其Laplace谱半径排序的问题．利用扩圈变换对偶单圈图 S 1 k 的Laplace谱半径影响的证明方法,得出了顶点数为 k+2,圈长为k(k≥10)的偶单圈图C(k+2,k) 按其Laplace谱半径从大到小的顺序依次排在前三位和最后一位的单圈图． |
| 英文摘要: |
| Ordering some even-unicyclic graphs by their Laplacian spectral radii is the main research problem. An expanding transformation which changes the Laplacian radius of even-unicyclic graph S 1 k is given. With the aid of the way to prove the expanding transformation, the largest three and the smallest one in the order of even-unicyclic graphs C(k+2,k)(k≥10) by Laplacian spectral radii are obtained. |
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