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检索条件"主题词=least eigenvalue"
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The least eigenvalue of Unicyclic Graphs with Application to Spectral Spread
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Algebra Colloquium 2022年 第2期29卷 265-272页
作者: Jiming Guo Gege Zhang Zhiwen Wang Panpan Tong School of Mathematics East China University of Science and Technology Shanghai 200237China
Let U^(g)_(n)be the set of connected unicyclic graphs of order n and girth g.Let C(T_(1),T_(2),…,T_(g))∈U^(g)_(n)be obtained from a cycle v_(1)v_(2)…v_(g)v_(1)(in an anticlockwise direction)by identifying v_(i)with... 详细信息
来源: 维普期刊数据库 维普期刊数据库 评论
Minimal least eigenvalue of connected graphs of order n and size m=n+k(5≤k≤8)
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Frontiers of Mathematics in China 2019年 第6期14卷 1213-1230页
作者: Xin LI Jiming GUO Zhiwen WANG Department of Mathematics Bast China University of Science and TechnologyShanghai 200237China
The least eigenvalue of a connected graph is the least eigenvalue of its adjacency matrix.We characterize the connected graphs of order n and size n+k(5≤k≤8 and n≥k+5)with the minimal least eigenvalue.
来源: 维普期刊数据库 维普期刊数据库 评论
An Edge-rotating Theorem on the least eigenvalue of Graphs
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Acta Mathematicae Applicatae Sinica 2015年 第4期31卷 945-952页
作者: Rui-fang LIU Hui-cai JIA Jin-long SHU School of Mathematics and Statistics Zhengzhou University College of Science Henan Institute of Engineering Department of Mathematics East China Normal University
Let G = (V(G), E(G)) be a simple connected graph of order n. For any vertices u, v, w ¢V(G) with uv ∈ E(G) and uw ¢ E(G), an edge-rotating of G means rotating the edge uv (around u) to the non-edge po... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
On the least eigenvalue of Graphs with Cut Vertices
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Journal of Mathematical Research and Exposition 2010年 第6期30卷 951-956页
作者: Yi WANG Yun QIAO Yi Zheng FAN School of Mathematical Sciences Anhui UniversityAnhui 230039P.R.China
Let ψ be a certain set of graphs.A graph is called a minimizing graph in the set ψ if its least eigenvalue attains the minimum among all graphs in ψ.In this paper,we determine the unique minimizing graph in ψn,whe... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
On the Spectral Spread of Bicyclic Graphs with Given Girth
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Acta Mathematicae Applicatae Sinica 2013年 第3期29卷 517-528页
作者: Bing WANG Ming-qing ZHAI Jin-long SHU School of Mathematical Science Chuzhou University Department of Mathematics East China Normal University
The spectral spread of a graph is defined to be the difference between the largest and the least eigenvalue of the adjacency matrix of the graph. A graph G is said to be bicyclic, if G is connected and |E(G)| = ... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论