| 姜琴，，黄子文.2-连通三圈图的零化度[J].南华大学学报(自然科学版),2008,22(1):56~59.[JIANG Qin1,2,HUANG Zi-wen2.On the Nullity of 2-Connected Tricycle Graphs[J].Journal of University of South China(Science and Technology),2008,22(1):56~59.] |
| 2-连通三圈图的零化度 |
| On the Nullity of 2-Connected Tricycle Graphs |
| 投稿时间：2007-12-17 |
| DOI： |
| 中文关键词: 三圈图 零化度 零化集 |
| 英文关键词:Tricycle graph Nullity Nullity set |
| 基金项目:湖南省教育厅基金资助项目（05A037） |
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| 中文摘要: |
| 本文所考虑的图均为无向简单图.图G的特征多项式的根称为图G的特征值，也构成图G的谱.图G的谱中零根的个数称为该图的零化度，记为η（G）.设Gn表示所有顶点数为n的图的集合，[0，n]=0,1,2,…,n，非空子集N∈[0,n].若对k∈N,都G∈Gn,使得η（G）=k,则N称为Gn的零化集.本文主要研究2-连通三圈图的零化度. |
| 英文摘要: |
| The graphs in this paper are simple undirected graphs.The roots of characteristic polynomial of graph G are called the eigenvalues of G,and also form the spectrum of the graph.The number of zero eigenvalues in the spectrum of the graph G is called its nullity,and is denoted by η(G).Let Gn be the set of all graphs of order n,and let [0,n]=0,1,2,...,n.A subset N of [0,n] is said to be the nullity set of Gn provided that for any k∈N,there exists at least one graph G∈Gn such that η(G)=k. In this paper we discuss the nullity of 2-connected tricycle graphs. |
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