| 图谱理论中一些定理的新证明 |
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| 引用本文： | 汪秋分,宋海洲.图谱理论中一些定理的新证明[J].华侨大学学报(自然科学版),2012,33(4):477-480. |
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| 作者姓名： | 汪秋分 宋海洲 |
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| 作者单位： | 华侨大学数学科学学院,福建泉州,362021 |
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| 基金项目： | 中央高校基本科研业务费专项资金资助项目;华侨大学科研基金资助项目 |
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| 摘 要： | 利用非负矩阵理论并结合图论性质,给出图谱理论中3个重要定理的证明,给出的证明方法比之前文献的证明更为简洁、易懂.
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| 关 键 词： | 图谱理论 简单连通图 最大特征值 非负不可约矩阵 |
A New Proof for Some Theorems in Graph Theory |
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| WANG Qiu-fen
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SONG Hai-zhou.A New Proof for Some Theorems in Graph Theory[J].Journal of Huaqiao University(Natural Science),2012,33(4):477-480. |
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| Authors: | WANG Qiu-fen SONG Hai-zhou |
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| Institution: | (School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China) |
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| Abstract: | We give the proof of three important theorems in graph theory by the nonnegative matrix theory and combining with graph properties,and the proof technique is more concise and understandable than the previous one made in the references. |
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| Keywords: | graph theory simple connected graph largest eigenvalue nonnegative irreducible matrix |
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