个人信息
科学研究
教育教学
社会兼职
论著成果
荣誉奖励

卜长江

Bu Chang Jiang

部门：数学科学学院

学科：数学

职务：

职称：教授

指导资格：博士生导师
硕士生导师

电话： 0451-82519384

传真：

邮箱： buchangjiang@hrbeu.edu.cn

邮编：

地址：

个人简介

卜长江，教授、博士生导师。
一、科学研究
1. 研究领域：图与超图谱理论、张量谱理论、复杂网络分析、广义逆及其符号模式等。
2. 基金项目：主持国家自然科学基金4项、黑龙江省自然科学基金2项。
3. 出版：专著4部，发表论文200余篇。
4. 获奖：获省高校科学技术奖二等奖2项。
5. 学术兼职
中国运筹学会图论组合分会副理事长；
中国组合数学与图论学会理事；
中国工业与应用数学学会图论组合及应用专业委员会委员；
黑龙江省数学会常务理事。
二、教学
1. 授课：讲授高等数学、矩阵理论、组合张量、图论、谱图理论等课程；主编矩阵论等教材。
2. 教改：主持省和校教改项目多项。
3. 获奖：获科技委委属院校优秀教师，校第一、二、三届示范主讲教师，校模范教师标兵等称号。

教育经历

1981年9月-1985年7月，黑龙江大学，本科
2005年9月-2007年6月，哈尔滨工程大学，硕士
2009年9月-2011年5月，哈尔滨工程大学，博士

工作经历

2005年9月至今，哈尔滨工程大学，教授
1999年10月-2005年9月，哈尔滨工程大学，副教授
1991年11月-1999年10月，哈尔滨工程大学，讲师
1985年8月-1991年11月，哈尔滨工程大学，助教

研究方向

组合数学与图论，包括图与超图谱理论，张量谱理论，复杂网络分析，广义逆及其符号模式等。

承担项目

2021.1-2024.12，国家自然科学基金面上项目，主持
2020.8-2020.12，国家自然科学基金专项项目，主持
2014.1-2017.12，国家自然科学基金面上项目，主持
2008-2010，省自然科学基金，主持
1994-1995，省自然科学基金，主持

学术交流

招生信息

每年可招收博士生2名，硕士生4名

本科生授课课程

工科数学分析，多重线性分析与超图

研究生授课课程

谱图理论，组合张量，矩阵理论

实践性教学

教学研究课题

主持完成省教改项目1项
主持校课程思政项目：研究生导学思政团队（导师）“组合数学与图论团队”

社会兼职

中国运筹学会图论组合分会常务理事、副理事长
中国数学会组合数学与图论学会理事
中国工业与应用数学学会图论组合及应用专业委员会委员
黑龙江省数学会常务理事

专利成果

出版著作

专著：
Changjiang Bu, Lizhu Sun, Yimin Wei. Sign Pattern for Generalized Inverses，科学出版社，法国EDP Sciences出版社，2021（国家科学技术出版基金资助）

卜长江、周江、孙丽珠，图矩阵—理论和应用，科学出版社，2021
卜长江，高等数学FIC八讲，科学出版社，2016

卜长江、魏益民、孙丽珠，广义逆的符号模式，科学出版社，2014

发表论文

SCI检索论文：

Authors	Article Title	Source Title	Volume	Issue	Article Number	Year	Start Page	End Page
L. Chen, E.van Dam, C. Bu	Spectra of power hypergraphs and signed graphs via parity-closed walks	JOURNAL OF COMBINATORIAL THEORY SERIES A	207		105909	2024
C. Liu, C. Bu	On a generalization of the spectral Mantel's theorem	JOURNAL OF COMBINATORIAL OPTIMIZATION	46	2	14	2023
H. Zhou, L.Sun, C.Bu	Estrada index and subgraph centrality of hypergraphs via tensors	DISCRETE APPLIED MATHEMATICS	341			2023	120	129
L. Chen, E.van Dam. C. Bu	All eigenvalues of the power hypergraph and signed subgraphs of a graph	LINEAR ALGEBRA AND ITS APPLICATIONS	676			2023	205	210
Q. Xu, L. Sun, C. Bu	The two-steps eigenvector centrality in complex networks	CHAOS SOLITONS & FRACTALS	173		113753	2023
J. Zhou, C. Bu	Oriented spanning trees and stationary distribution of digraphs	ADVANCES IN APPLIED MATHEMATICS	150		102576	2023
C. Dengi, H. Li, C. Bu	The maximum and minimum value of homogeneous polynomial under different norms via tensors	FILOMAT	37	16		2023	5361	5371
C. Liu, J. Zhou, C. Bu	The high order spectrum of a graph and its applications in graph colouring and clique counting	LINEAR & MULTILINEAR ALGEBRA	71	14	2103490	2023	2354	2365
L. Chen, C. Bu, J. Zhou	Spectral moments of hypertrees and their applications	LINEAR & MULTILINEAR ALGEBRA	70	21		2022	6297	6311
Y. Wang, J. Shen, C. Bu	Hypergraph characterizations of copositive tensors	FRONTIERS OF MATHEMATICS IN CHINA	16	3		2021	815	824
L. Sun, Z. Shang, C. Bu	Resistance distance and Kirchhoff index of the Q-vertex (or edge) join graphs	DISCRETE MATHEMATICS	344	8	112433	2021
J. Zhou, C. Bu, H. Lai	Edge-disjoint spanning trees and forests of graphs	DISCRETE APPLIED MATHEMATICS	299			2021	74	81
J. Zhou, C. Bu	Eigenvalues and clique partitions of graphs	ADVANCES IN APPLIED MATHEMATICS	129		102220	2021
L. Chen, C. Bu	A reduction formula for the characteristic polynomial of hypergraph with pendant edges	LINEAR ALGEBRA AND ITS APPLICATIONS	611			2021	171	186
H.Yao, Z. Li, L. Chen, C. Bu	New Brualdi-type eigenvalue inclusion sets for tensors	LINEAR ALGEBRA AND ITS APPLICATIONS	614			2021	343	355
J. Zhangi, C. Bu	An iterative method for finding the spectral radius of an irreducible nonnegative tensor	COMPUTATIONAL & APPLIED MATHEMATICS	40	1	8	2021
C. Deng, L. Sun, C. Bu	The geometry connectivity of hypergraphs	DISCRETE MATHEMATICS	343	11	112038	2020
C. Deng, H. Yao, C. Bu	The bounds on spectral radius of nonnegative tensors via general product of tensors	LINEAR ALGEBRA AND ITS APPLICATIONS	602			2020	206	215
Y. Yang, J. Zhou, C. Bu	Equitable partition and star set formulas for the subgraph centrality of graphs	LINEAR & MULTILINEAR ALGEBRA	70	16		2022	3142	3150
J. Zhou, C. Bu	The enumeration of spanning tree of weighted graphs	JOURNAL OF ALGEBRAIC COMBINATORICS	54	1		2021	75	108
T. Zhang, L. Sun, C. Bu	Community detection via a triangle and edge combination conductance partitioning	JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT	2020	7	73405	2020
H. Yao, L. Ma, C. Liu, C. Bu	Brualdi-type inclusion sets ofZ-eigenvalues andlk,s-singular values for tensors	FRONTIERS OF MATHEMATICS IN CHINA	15	3		2020	601	612
Y. Yang, L. Sun, C. Bu	Bounds on the α-Distance Energy and α-Distance Estrada Index of Graphs	DISCRETE DYNAMICS IN NATURE AND SOCIETY	2020		9393521	2020
Y. Yang, L. Sun, C. Bu	A Note on Some Bounds of the α-Estrada Index of Graphs	ADVANCES IN MATHEMATICAL PHYSICS	2020		3972789	2020
Z. Fan, C. Deng, H. Li, C. Bu	Multiplications and eigenvalues of tensors via linear maps	LINEAR & MULTILINEAR ALGEBRA	68	3		2020	606	621
J. Shen, Y. Wang, C. Bu	Some inequalities on the minimum H-eigenvalue of the Fan product of Z-tensors	LINEAR ALGEBRA AND ITS APPLICATIONS	579			2019	55	71
G. Wang, C. Bu ,Y. Luo	Modified FDP cluster algorithm and its application in protein conformation clustering analysis	DIGITAL SIGNAL PROCESSING	92			2019	97	108
H. Yao, C. Zhang, L. Liu, J. Zhou, C. Bu	Singular value inclusion sets of rectangular tensors	LINEAR ALGEBRA AND ITS APPLICATIONS	576			2019	181	199
T. Zhang, C. Bu	Detecting community structure in complex networks via resistance distance	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS	526		120782	2019
L. Sun, J. Zhou, C. Bu	Spectral properties of general hypergraphs	LINEAR ALGEBRA AND ITS APPLICATIONS	561			2019	187	203
M. Che, C. Bu, L. Qi, Y. Wei	Nonnegative tensors revisited: plane stochastic tensors	LINEAR & MULTILINEAR ALGEBRA	67	7		2019	1364	1391
C. Bu, H. Li, J. Zhou	Inverse Perron values and connectivity of a uniform hypergraph	ELECTRONIC JOURNAL OF COMBINATORICS	25	4	P4.28	2018
C. Deng, H. Li, C. Bu	Brauer-type eigenvalue inclusion sets of stochastic/irreducible tensors and positive definiteness of tensors	LINEAR ALGEBRA AND ITS APPLICATIONS	556			2018	55	69
J. Zhang, C. Bu	Nekrasov tensors and nonsingular -tensors	COMPUTATIONAL & APPLIED MATHEMATICS	37	4		2018	4917	4930
L. Sun, B. Zheng, Y. Wei, C. Bu	Generalized inverses of tensors via a general product of tensors	FRONTIERS OF MATHEMATICS IN CHINA	13	4		2018	893	911
G. Wang, C. Deng, C. Bu	Some upper bounds on Zt-eigenvalues of tensors	APPLIED MATHEMATICS AND COMPUTATION	329			2018	266	277
H. Li, J. Zhou, C. Bu	Principal eigenvectors and spectral radii of uniform hypergraphs	LINEAR ALGEBRA AND ITS APPLICATIONS	544			2018	273	285
J. Zhou, L. Sun, C. Bu	Resistance characterizations of equiarboreal graphs	DISCRETE MATHEMATICS	340	12		2017	2864	2870
C. Bu, X. Jin, H. Li, C. Deng	Brauer-type eigenvalue inclusion sets and the spectral radius of tensors	LINEAR ALGEBRA AND ITS APPLICATIONS	512			2017	234	248
C. Bu, Y. Fan, J. Zhou	Laplacian and signless Laplacian Z-eigenvalues of uniform hypergraphs	FRONTIERS OF MATHEMATICS IN CHINA	11	3		2016	511	520
H. Yao, B. Long, C. Bu, J. Zhou	lk,s-Singular values and spectral radius of partially symmetric rectangular tensors	FRONTIERS OF MATHEMATICS IN CHINA	11	3		2016	605	622
C. Bu, W. Gu, J. Zhou, Y. Wei	On matrices whose Moore-Penrose inverses are ray unique	LINEAR & MULTILINEAR ALGEBRA	64	6		2016	1236	1243
J. Zhou, L. Sun, Y. Wei, C. Bu	Some characterizations of M-tensors via digraphs	LINEAR ALGEBRA AND ITS APPLICATIONS	495			2016	190	198
L. Sun, B. Zheng, C. Bu, Y. Wei	Moore-Penrose inverse of tensors via Einstein product	LINEAR & MULTILINEAR ALGEBRA	64	4		2016	686	698
L. Sun, B. Zheng, Y. Wei, C. Bu	Characterizations of the spectral radius of nonnegative weakly irreducible tensors via a digraph	LINEAR & MULTILINEAR ALGEBRA	64	4		2016	737	744
L. Sun, B. Zheng, S. Bai, C. Bu	Formulas for the Drazin Inverse of Matrices over Skew Fields	FILOMAT	30	12		2016	3377	3388
S. Huang, J. Zhou, C. Bu	Signless Laplacian Spectral Characterization of Graphs with Isolated Vertices	FILOMAT	30	14		2016	3689	3696
S. Huang, J. Zhou, C. Bu	Some Results on Kirchhoff Index and Degree-Kirchhoff Index	MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY	75	1		2016	207	222
L. Sun, W. Wang, C. Bu, Y. Wei, B. Zheng	REPRESENTATIONS AND SIGN PATTERN OF THE GROUP INVERSE FOR SOME BLOCK MATRICES	ELECTRONIC JOURNAL OF LINEAR ALGEBRA	30			2015	744	759
H. Yao, L.Liu,C. Bu	Tensors product and hyperdeterminant of boundary formats product	LINEAR ALGEBRA AND ITS APPLICATIONS	483			2015	1	20
C. Bu, W. Wang, L. Sun, J. Zhou	Minimum (maximum) rank of sign pattern tensors and sign nonsingular tensors	LINEAR ALGEBRA AND ITS APPLICATIONS	483			2015	101	114
C. Bu, Y. Wei, L. Sun, J. Zhou	Brualdi-type eigenvalue inclusion sets of tensors	LINEAR ALGEBRA AND ITS APPLICATIONS	480			2015	168	175
L. Sun, W. Wang, J. Zhou, C. Bu	LAPLACIAN SPECTRAL CHARACTERIZATION OF SOME GRAPH JOIN	INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS	46	3		2015	279	286
X. Liu, J. Zhou, C. Bu	Resistance distance and Kirchhoff index of R-vertex join and R-edge join of two graphs	DISCRETE APPLIED MATHEMATICS	187			2015	130	139
L. Sun, W. Wang, J. Zhou, C. Bu	Some results on resistance distances and resistance matrices	LINEAR & MULTILINEAR ALGEBRA	63	3		2015	523	533
C. Bu, W. Wang, J. Zhou, L. Sun	On block triangular matrices with signed Drazin inverse	CZECHOSLOVAK MATHEMATICAL JOURNAL	64	4		2014	883	892
J. Zhou, L. Sun, W. Wang, C. Bu	Some spectral properties of uniform hypergraphs	ELECTRONIC JOURNAL OF COMBINATORICS	21	4	P4.24	2014
J. Zhou, C. Bu	State transfer and star complements in graphs	DISCRETE APPLIED MATHEMATICS	176			2014	130	134
C. Bu, J. Zhou, Y. Wei	E-cospectral hypergraphs and some hypergraphs determined by their spectra	LINEAR ALGEBRA AND ITS APPLICATIONS	459			2014	397	403
C. Bu, B. Yan, X. Zhou, J. Zhou	Resistance distance in subdivision-vertex join and subdivision-edge join of graphs	LINEAR ALGEBRA AND ITS APPLICATIONS	458			2014	454	462
C. Bu, J. Zhou, H. Li, W. Wang	Spectral Characterizations of the Corona of a Cycle and Two Isolated Vertices	GRAPHS AND COMBINATORICS	30	5		2014	1123	1133
C. Bu, X. Zhang, J. Zhou, W. Wang,Y. Wei	The inverse, rank and product of tensors	LINEAR ALGEBRA AND ITS APPLICATIONS	446			2014	269	280
C. Bu, X. Zhou, L. Ma, J. Zhou	ON THE GROUP INVERSE FOR THE SUM OF MATRICES	JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY	96	1		2014	36	43
C. Bu, X. Zhang, J. Zhou	A note on the multiplicities of graph eigenvalues	LINEAR ALGEBRA AND ITS APPLICATIONS	442			2014	69	74
J. Zhou, L. Sun, W. Wang, C. Bu	Line star sets for Laplacian eigenvalues	LINEAR ALGEBRA AND ITS APPLICATIONS	440			2014	164	176
C. Bu, L. Sun, J. Zhou, Y. Wei	Some results on the Drazin inverse of anti-triangular matrices	LINEAR & MULTILINEAR ALGEBRA	61	11		2013	1568	1576
J. Zhou, L. Sun, H. Yao, C. Bu	ON THE NULLITY OF CONNECTED GRAPHS WITH LEAST EIGENVALUE AT LEAST-2	APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS	7	2		2013	250	261
J. Zhou, C. Bu	Spectral characterization of line graphs of starlike trees	LINEAR & MULTILINEAR ALGEBRA	61	8		2013	1041	1050
C. Bu, C. Zhang	A note on the formulas for the Drazin inverse of the sum of two matrices	LINEAR ALGEBRA AND ITS APPLICATIONS	439	3		2013	565	576
C. Bu, J. Zhou, H. Li	Spectral determination of some chemical graphs	FILOMAT	26	6		2012	1123	1131
C. Bu, L. Sun, J. Zhou, Y. Wei	A NOTE ON BLOCK REPRESENTATIONS OF THE GROUP INVERSE OF LAPLACIAN MATRICES	ELECTRONIC JOURNAL OF LINEAR ALGEBRA	23			2012	866	876
J. Zhou, C. Bu, Y. Wei	Some block matrices with signed Drazin inverses	LINEAR ALGEBRA AND ITS APPLICATIONS	437	7		2012	1779	1792
C. Bu, C. Feng, S. Bai	Representations for the Drazin inverses of the sum of two matrices and some block matrices	APPLIED MATHEMATICS AND COMPUTATION	218	20		2012	10226	10237
J. Zhou, C. Bu	Laplacian spectral characterization of some graphs obtained by product operation	DISCRETE MATHEMATICS	312	10		2012	1591	1595
C. Bu, J. Zhou	Signless Laplacian spectral characterization of the cones over some regular graphs	LINEAR ALGEBRA AND ITS APPLICATIONS	436	9		2012	3634	3641
K. Zhang, C. Bu	Group inverses of matrices over right Ore domains	APPLIED MATHEMATICS AND COMPUTATION	218	12		2012	6942	6953
J. Zhou, C. Bu, Y. Wei	Group inverse for block matrices and some related sign analysis	LINEAR & MULTILINEAR ALGEBRA	60	6		2012	669	681
C. Bu, J. Zhou	Starlike trees whose maximum degree exceed 4 are determined by their Q-spectra	LINEAR ALGEBRA AND ITS APPLICATIONS	436	1		2012	143	151
J. Zhou, C. Bu, J. Shen	Some results for the periodicity and perfect state transfer	ELECTRONIC JOURNAL OF COMBINATORICS	18	1	P184	2011
C. Bu, J. Zhao, J. Tang	Representation of the Drazin inverse for special block matrix	APPLIED MATHEMATICS AND COMPUTATION	217	10		2011	4935	4943
C. Bu, Y. Zhou	Involutory and s+1-potency of linear combinations of a tripotent matrix and an arbitrary matrix	Journal of Applied Mathematics and Informatics	29	1		2011	485	495
C. Bu, K. Zhang, J. Zhao	Representations of the Drazin inverse on solution of a class singular differential equations	LINEAR & MULTILINEAR ALGEBRA	59	8		2011	863	877
J. Zhao, C. Bu	GROUP INVERSE FOR THE BLOCK MATRIX WITH TWO IDENTICAL SUBBLOCKS OVER SKEW FIELDS	ELECTRONIC JOURNAL OF LINEAR ALGEBRA	21			2010	63	75
C. Bu, K. Zhang	THE EXPLICIT REPRESENTATIONS OF THE DRAZIN INVERSES OF A CLASS OF BLOCK MATRICES	ELECTRONIC JOURNAL OF LINEAR ALGEBRA	20			2010	406	418
C. Bu, K. Zhang, J. Zhao	Some results on the group inverse of the block matrix with a sub-block of linear combination or product combination of matrices over skew fields	LINEAR & MULTILINEAR ALGEBRA	58	8	PII 921289261	2010	957	966
C. Bu, M. Li, K. Zhang, L. Zheng	Group inverse for the block matrices with an invertible subblock	APPLIED MATHEMATICS AND COMPUTATION	215	1		2009	132	139
C. Bu, J. Zhao, K. Zhang	SOME RESULTS ON GROUP INVERSES OF BLOCK MATRICES OVER SKEW FIELDS	ELECTRONIC JOURNAL OF LINEAR ALGEBRA	18			2009	117	125
H. Yao, Y. Sun, C. Xu, C. Bu	A note on linear combinations of an idempotent matrix and a tripotent matrix	Journal of Applied Mathematics and Informatics	27	5		2009	1493	1499
C. Bu, J. Zhao, J. Zheng	Group inverse for a class 2x2 block matrices over skew fields	APPLIED MATHEMATICS AND COMPUTATION	204	1		2008	45	49
C. Bu	Linear maps preserving Drazin inverses of matrices over fields	LINEAR ALGEBRA AND ITS APPLICATIONS	396			2005	159	173

荣誉

2004科工委优秀教师
2003-2009哈尔滨工程大学第一、二、三届 “十佳示范主讲教师”
2012校优秀硕士研究生指导教师一等奖
2021年获“校模范教师标兵”荣誉称号

奖励

2016年1月，黑龙江省高校科学技术奖二等奖

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卜长江