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NULLITY: 作品数：24被引量：25H指数：3; 导出分析报告; 相关领域：理学电子电信更多>>; 相关作者：刘瑜更多>>; 相关机构：华南师范大学更多>>; 相关期刊：《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《Journal of Applied Mathematics and Physics》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金更多>>

Triangle-free Graphs with Three Positive Eigenvalues: 《Algebra Colloquium》2024年第3期525-540,共16页Fang Duan; Supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region(No.2022D01A218);the Doctoral Scientific Research Foundation of Xinjiang Normal University(No.XJNUBS2009).; A graph G is called triangle-free if G does not contain any triangle as its induced subgraph.Let G_(n)be the set of triangle-free graphs of order n each of which has three positive eigenvalues.In this paper,we find 20...; 关键词：positive(negative)inertia index NULLITY triangle-free graph

Maps Preserving Semi-Fredholm Operators with Fixed Nullity: 《Journal of Mathematical Research with Applications》2024年第4期533-540,共8页Mengran NI Weijuan SHI; Natural Science Basic Research Plan in Shaanxi Province(Grant No.2023-JC-YB-050);Overseas Students Science and Technology Activities Project Merit Funding in Shaanxi Province(Grant No.2022-018);Shaanxi Fundamental Science Research Project for Mathematics and Physics(Grant No.23JSQ038)。; Let X be an infinite-dimensional complex Banach space,and B(X)the algebra of all bounded linear operators on X.Given an integer n≥1,we characterize all the bijective maps on B(X)preserving the difference of semi-Fred...; 关键词：operator algebra ADJACENCY preserver map semi-Fredholm operator

Singularity of Two Kinds of Quadcyclic Peacock Graphs: 《Journal of Applied Mathematics and Physics》2023年第12期3840-3853,共14页Xiaojie You Haicheng Ma; Let G be a graph. G is singular if and only if the adjacency matrix of graph G is singular. The adjacency matrix of graph G is singular if and only if there is at least one zero eigenvalue. The study of the singularit...; 关键词：Quadcyclic Graphs SINGULARITY NULLITY

The Nullities of Signed Cycle-Spliced Graphs: 《Journal of Mathematical Research with Applications》2023年第6期631-647,共17页Sarula CHANG Jianxi LI Yirong ZHENG; Supported by the Natural Science Foundation of Inner Mongolia Autonomous Region(Grant No.2020BS01011);the National Natural Science Foundation of China(Grant No.12171089);the Natural Science Foundation of Fujian Province(Grant No.2021J02048);the Research Fund of Xiamen University of Technology(Grant Nos.YKJ20018R,XPDKT20039)。; Letη(Γ)and c(Γ)be the nullity and the cyclomatic number of a signed graphΓ.A signed cycle-spliced graph is a connected signed graph in which every block is a cycle.In this paper,we prove that for every signed cycl...; 关键词：signed graph NULLITY cyclomatic number

两类四全图的奇异性: 《Chinese Quarterly Journal of Mathematics》2023年第4期349-359,共11页攸晓杰马海成张斌李雅兰; Supported by National Natural Science Foundation of China(Grant No.11561056);National Natural Science Foundation of Qinghai Provence(Grant No.2022-ZJ-924);Innovation Project of Qinghai Minzu University(Grant No.07M2022002).; Let G be a finite simple graph and A(G)be its adjacency matrix.Then G is singular if A(G)is singular.The graph obtained by bonding the starting ver-tices and ending vertices of three paths Pa1,Pa2,Pa3 is calledθ-grap...; 关键词：Adjacency matrix Singular graph NULLITY PROBABILITY

The Morse index of minimal products of minimal submanifolds in spheres: 《Science China Mathematics》2023年第4期799-818,共20页Changping Wang Peng Wang; supported by National Natural Science Foundation of China(Grant No.11831005);supported by National Natural Science Foundation of China(Grant No.11971107)。; Tang and Zhang(2020)and Choe and Hoppe(2018)showed independently that one can produce minimal submanifolds in spheres via the Clifford type minimal product of minimal submanifolds.In this paper,we show that the minima...; 关键词：minimal product INDEX NULLITY Clifford minimal submanifold

ADDITIVE MAPPINGS PRESERVING FREDHOLM OPERATORS WITH FIXED NULLITY OR DEFECT: 《Acta Mathematica Scientia》2021年第5期1670-1678,共9页Ruihan ZHANG Weijuan SHI Guoxing JI; supported by National Natural Science Foundation of China(11771261,11701351);Natural Science Basic Research Plan in Shaanxi Province of China(2018JQ1082);the Fundamental Research Funds for the Central Universities(GK202103007,GK202107014).; Let X be an infinite-dimensional real or complex Banach space,and B(X)the Banach algebra of all bounded linear operators on X.In this paper,given any non-negative integer n,we characterize the surjective additive maps...; 关键词：Fredholm operator additive preserver NULLITY DEFECT

Graphs with Pendant Vertices and <i>r</i>(<i>G</i>) &#8804;7: 《Journal of Applied Mathematics and Physics》2020年第2期240-246,共7页Haicheng Ma Shang Gao Danyang Li; Let G be a graph of order n with vertex set V(G) = {v1, v2,…, vn}. the adjacency matrix of G is an n × n matrix A(G) = (aij)n×n, where aij is the number edges joining vi and vj in G. The eigenvalues λ1, λ2, λ3,...; 关键词：ADJACENCY Matrix Rank NULLITY Multiplication of VERTICES

Non-Singular Trees, Unicyclic Graphs and Bicyclic Graphs: 《Applied Mathematics》2020年第1期1-7,共7页Haicheng Ma Danyang Li Chengling Xie; We called graph G non-singular if adjacency matrix A (G) of G is non-singular. A connected graph with n vertices and n-1, n and n+1 edges are called the tree, the unicyclic graph and the bicyclic graph. Respectively, ...; 关键词：ADJACENCY MATRIX Non-Singular RANK NULLITY

The Inertia Indexes of One Special Kind of Tricyclic Graphs: 《Applied Mathematics》2019年第1期11-18,共8页Haicheng Ma Chengling Xie; Let G be a graph and A=(aij)n×n be the adjacency matrix of G, the eigenvalues of A are said to be the eigenvalues of the graph G, and to form the spectrum of this graph. The numbers of positive, negative and zero eig...; 关键词：TRICYCLIC GRAPHS Positive INERTIA INDEX Negative INERTIA INDEX NULLITY

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