k-路的零度 |
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引用本文: | 王兵,翟明清.k-路的零度[J].滁州学院学报,2013(2):10-14. |
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作者姓名: | 王兵 翟明清 |
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作者单位: | 滁州学院数学科学学院,安徽滁州239000 |
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基金项目: | 国家自然科学基金青年基金项目(11101057);安徽省教育厅自然科学研究项目(KJ20122283);滁州学院校级科学研究项目(2011kj004B) |
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摘 要: | 图G的零度,记为η(G),是指图的邻接谱中零特征值的重数.若一个图既是k-树也是区间图,则称这个图为k-路,记n个顶点的k-路为Pnk.通过对Pkn奇异性的研究证明了Pn2是拟非奇异图.
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关 键 词: | 邻接谱 零度 k-路 拟非奇异图 |
On the nullity of k--paths |
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Institution: | Wang bing, Zai mingqing |
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Abstract: | The nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its spec- trum. A k--path is both a k-tree and an interval graph. Let P^k_n be the k-path with n vertices. The singularity of P^k_n is discussed. As an application, we prove that all 2--path are quasi--nonsingular graphs. |
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Keywords: | adjacency spectrum nullity k- paths quasi- nonsingular graph |
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