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作品数：83被引量：56H指数：5
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Deleting Vertices and Interlacing of Aα Eigenvalues of a Graph
《Journal of Mathematical Research with Applications》2022年第5期455-462,共8页Hongzhang CHEN Jianxi LI 
Supported by the National Natural Science Foundation of China(Grant No.12171089);the Natural Science Foundation of Fujian Province(Grant No.2021J02048)。
Let G be simple graph with vertex set V and edge set E. In this paper, we establish an interlacing inequality between the A_(α) eigenvalues of G and its subgraph G-U,where U ? V. Moreover, as an application, this int...
关键词：Aαeigenvalue interlacing inequality independence number cover number Hamiltonian properties spanning tree 
Ordering Quasi-Tree Graphs on n Vertices by Their Spectral Radii
《Journal of Mathematical Research with Applications》2018年第2期121-129,共9页Ke LUO Zhen LIN Shuguang GUO 
Supported by the National Natural Science Foundation of China(Grant No.11171290);the Natural Science Foundation of Jiangsu Province(Grant No.BK20151295)
A connected graph G = （V, E） is called a quasi-tree graph, if there exists a vertex vo ∈ V（G） such that G - v0 is a tree. Liu and Lu [Linear Algebra Appl. 428 （2008） 2708- 2714] determined the maximal spectral ...
关键词：quasi-tree graph spectral radius extremal graph 
The Smallest Hosoya Index of Bicyclic Graphs with Given Pendent Vertices被引量：1
《Journal of Mathematical Research with Applications》2014年第1期12-32,共21页Lihua YOU Chaoxia WEI Zhifu YOU 
Supported by National Natural Science Foundation of China (Grant No.11301093);the Zhujiang Technology New Star Foundation of Guangzhou (Grant No.2011J2200090);Program on International Cooperation and Innovation,Department of Education,Guangdong Province (Grant No.2012gjhz0007)
Let G be a graph. The Hosoya index Z（G） of a graph G is defined to be the total number of its matchings. In this paper, we characterize the graph with the smallest Hosoya index of bicyclic graphs with given pendent ...
关键词：Hosoya index bicyclic graph pendent vertex matching. 
Up-Embeddability of Graphs with New Degree-Sum of Independent Vertices
《Journal of Mathematical Research with Applications》2012年第4期399-406,共8页Shengxiang LU Yanpei LIU 
Supported by the Scientific Research Fund of Hunan Provincial Education Department (Grant No. 11C0541)
Let G be a k（k ≤3）-edge connected simple graph with minimal degree ≥ 3,girth g,r=g12.For any independent set {a1,a2 , . . . , a 6/（4 k）} of G,if,then G is up-embeddable.
关键词：up-embeddability maximum genus independent set. 
The Signless Laplacian Spectral Radius of Tricyclic Graphs with κ Pendant Vertices
《Journal of Mathematical Research with Applications》2012年第3期281-287,共7页Jingming ZHANG Jiming GUO 
Supported by the National Natural Science Foundation of China(Grant Nos.10871204;61170311);the Fundamental Research Funds for the Central Universities(Grant No.09CX04003A)
In this paper, we determine the unique graph with the largest signless Laplacian spectral radius among all the tricyclic graphs with n vertices and k pendant vertices.
关键词：signless Laplacian spectral radius tricyclic graph pendant vertex. 
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