| 无符号拉普拉斯谱半径的新上界 |
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| 引用本文： | 黄鹏,常安.无符号拉普拉斯谱半径的新上界[J].数学研究,2012(3):303-309. |
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| 作者姓名： | 黄鹏 常安 |
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| 作者单位： | 福州大学数学与计算机科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(10931003,10871046) |
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| 摘 要： | 如果一个图存在定向满足其最大出度△~＋不超过最大度△的一半,则通过估计图的半边路径（semi-edge walk）的个数,得到了该图的无符号拉普拉斯谱半径的一个新上界.进而根据D.Goncalves对平面图边分解的结果,得到了平面图无符号拉普拉斯谱半径的一个新上界.
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| 关 键 词： | 无符号拉普拉斯谱 谱半径 上界 半边路径 平面图 |
A New Upper Bound on the Signless Laplacian Spectral Radius of Graphs |
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| Huang Peng Chang An.A New Upper Bound on the Signless Laplacian Spectral Radius of Graphs[J].Journal of Mathematical Study,2012(3):303-309. |
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| Authors: | Huang Peng Chang An |
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| Affiliation: | Huang Peng Chang An (College of Mathematics and Computer Science, Fuzhou University,Fuzhou Fujian 350108.) |
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| Abstract: | For a graph,if there exists an orientation such that the maximum outdegree△~+ is no more than half of the maximum degree A,we obtain a new upper bound of the signless Laplacian spectral radius of the graph,by estimating the number of the semi-edge walks of the graph.Moreover,combining with the result of the edge decomposition of a planar graph by D.Goncalves,a new upper bound of the signless Laplacian spectral radius of a planar graph is presented. |
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| Keywords: | the signless Laplacian spectrum Spectral radius Upper bound Semi-edge walk Planar graph |
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