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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、复杂网络分析和符号矩阵等。 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,其中SCI检索论文90余篇。 4. 获奖:获省高校科学技术奖二等奖2项。 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

研究领域

图与超图谱理论,张量谱理论,复杂网络分析,符号矩阵

近期论文

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出版著作 广义逆的符号模式,科学出版社,2014 高等数学FIC八讲,科学出版社,2016 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) 图矩阵—理论和应用,科学出版社,2021 发表论文 发表论文200余篇,其中SCI检索论文90余篇。 C. Liu, C. Bu, On a generalization of the spectral Mantel's theorem, Journal of Combinatorial Optimization, 14(46)(2023) Q. Xu, L. Sun, C. Bu, The two-steps eigenvector centrality in complex networks, Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, 173 (2023) 113753 H. Zhou, L. Sun, C. Bu, Estrada index and subgraph centrality of hypergraphs via tensors, Discrete Applied Mathematics, 341 (2023) 120–129 Chen, E.R. 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. J. Zhou, C. Bu, Oriented spanning trees and stationary distribution of digraphs, Advances in Mathematics, 150(2023)102576 C. Deng, H. Li, F, C. Bu, The maximum and minimum value of homogeneous polynomial under different norms via tensors, Filomat, 37 (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 and Multilinear Algebra, 71 (2023) 2354-2365. L. Chen, C. Bu, J. Zhou, Spectral moments of hypertrees and their applications, Linear and Multilinear Algebra, 70 (2022) 6297-6311. L. Sun, Z. Shang, C. Bu, Resistance distance and Kirchhoff index of the Q-vertex (or edge) join graphs, Discrete Mathematics, 334 (2021) 112433. 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. J. Zhang, C. Bu, An iterative method for finding the spectral radius of an irreducible nonnegative tensor, Computational & Applied Mathematics, 40 (2021) 8. J. Zhou, C. Bu, Eigenvalues and clique partitions of graphs, Advances in Applied Mathematics 129 (2021) 102220. J. Zhou, C. Bu, The enumeration of spanning tree of weighted graphs, J. Algebr. Comb. 54 (2021) 75-108. J. Zhou, C. Bu, H.J. Lai, Edge-disjoint spanning trees and forests of graphs, Discrete Appl. Math. 299 (2021) 74-81. C. Deng, L. Sun, C. Bu, The geometry connectivity of hypergraphs, Discrete Mathematics, 343 (2020) 112038. Z. Fan, C. Deng, H. Li, C. Bu, Multiplications and eigenvalues of tensors via linear maps, Linear and Multilinear Algebra, 68 (2020) 606-621. 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 and Multilinear Algebra, 70 (2020) 3142-3150. T. Zhang, L. Sun, C. Bu, Community detection via a triangle and edge combination conductance partitioning, Journal of Statistical Mechanics-Theory and Experiment, 7(2020) 073405 Y. Yang, L. Sun, C. Bu, A Note on Some Bounds of the alpha-Estrada Index of Graphs, Advances in Mathematical Physics, (2020)3972789. T. Zhang, C. Bu, Detecting community structure in complex networks via resistance distance, Physica A-Statistical Mechaics and its Applications 526 (2019) 120782. 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. M. Che, C. Bu, L. Qi, Y. Wei, Nonnegative tensors revisited: plane stochastic tensors, Linear and Multilinear Algebra, 67 (2019) 1364-1391. L. Sun, J. Zhou, C. Bu, Spectral properties of general hypergraphs, Linear Algebra Appl. 561(2019) 187-203. C. Bu, H. Li, J. Zhou,Inverse Perron values and connectivity of a uniform hypergraph,Electronic Journal of Combinatorics 25 (2018) P4.28. C. Deng, H. Li, C. Bu, Brauer-type eigenvalue inclusion sets of stochastic/irreducible tensors and positive definiteness of tensors, Linear Algebra Appl. 556 (2018) 55-69. J. Zhang, C. Bu, Nekrasov tensors and nonsingular -tensors, Computational & Applied Mathematics 37 (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 (2018) 893-911. G. Wang, C. Deng, C. Bu, Some upper bounds on Z(t)-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 Appl. 544 (2018) 273-285. J. Zhou, L. Sun, C. Bu, Resistance characterizations of equiarboreal graphs, Discrete Mathematics 340 (2017) 2864-2870. C. Bu, X. Jin, H. Li, Brauer-type eigenvalue inclusion sets and the spectral radius of tensors, Linear Algebra Appl. 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 (2016) 211-520 C. Bu, W. Gu, J. Zhou, Y. Wei, On matrices whose Moore-Penrose inverses are ray unique, Linear and Multilinear Algebra 64 (2016) 1236-1243. C. Bu, Y. Fan, J. Zhou, Laplacian and signless Laplacian Z-eigenvalues of uniform hypergraphs, Front. Math. China 11 (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 (2016) 605-622. S. Huang, J. Zhou, C. Bu, Some results on Kirchhoff index and degree-Kirchhoff index, MATCH Commun. Math. Comput. Chem. 75 (2016) 207-222. J. Zhou, L. Sun, Y.P. Wei, C. Bu, Some characterizations of M-tensors via digraphs, Linear Algebra Appl. 495 (2016) 190-198. J. Zhou, Z. Wang, C. Bu, On the resistance matrix of a graph, Electron. J. Combin. 23 (2016) P1.41. L. Sun, B. Zheng, C. Bu, Y. Wei, Moore-Penrose inverse of tensors via Einstein product, Linear and Multilinear Algebra 64 (2016) 686-698. L. Sun, B. Zheng, S. Bau, C. Bu, Formulas for the Drazin Inverse of Matrices over Skew Fields, Filomat, 30 (2016) 3377-3388. L. Sun, B. Zheng, Y. Wei, C. Bu, Characterizations of the spectral radius of nonnegative weakly irreducible tensors via a digraph, Linear and Multilinear Algebra 64 (2016) 737-744. L. Sun, W. Wang, J. Zhou, C. Bu, Some results on resistance distances and resistance matrices, Linear and Multilinear Algebra 63 (2015) 523-533. 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. C. Bu, Y.P. Wei, L. Sun, J. Zhou, Brualdi-type eigenvalue inclusion sets of tensors, Linear Algebra Appl. 480 (2015) 168-175. C. Bu, W. Wang, L. Sun, J. Zhou, Minimum (maximum) rank of sign pattern tensors and sign nonsingular tensors, Linear Algebra Appl. 483 (2015) 101-114. X. Liu, J. Zhou, C. Bu, Resistance distance and Kirchhoff index of R-vertex join and R-edge join of two graphs, Discrete Appl. Math. 187 (2015) 130-139. L. Sun, W. Wang, J. Zhou, C. Bu, Laplacian spectral characterization of some graph join, Indian J. Pure Appl. Math. 46 (2015) 279-286. 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. J. Zhou, L. Sun, W. Wang, C. Bu, Some spectral properties of uniform hypergraphs, Electron. J. Combin. 21 (2014) P4.24. C. Bu, J. Zhou, Y. Wei, E-cospectral hypergraphs and some hypergraphs determined by their spectra, Linear Algebra Appl. 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 Appl. 458 (2014) 454-462. C. Bu, X. Zhang, J. Zhou, A note on the multiplicities of graph eigenvalues, Linear Algebra Appl. 442 (2014) 69-74. C. Bu, X. Zhou, L. Ma, J. Zhou, On the group inverse for the sum of matrices, J. Aust. Math. Soc. 96 (2014) 36-43. C. Bu, X. Zhang, J. Zhou, W. Wang, Y. Wei, The inverse, rank and product of tensors, Linear Algebra Appl. 446 (2014) 269-280. C. Bu, J. Zhou, H. Li, W. Wang, Spectral characterizations of the corona of a cycle and two isolated vertices, Graphs Combin. 30 (2014) 1123-1133. C. Bu, W. Wang, J. Zhou, L. Sun, On block triangular matrices with signed Drazin inverse, Czech. Math. J. 64 (2014) 883-892. J. Zhou, C. Bu, State transfer and star complements in graphs, Discrete Appl. Math. 176 (2014) 130-134. J. Zhou, L. Sun, W. Wang, C. Bu, Line star sets for Laplacian eigenvalues, Linear Algebra Appl. 440 (2014) 164-176. J. Zhou, L. Sun, W. Wang, C. Bu, Some spectral properties of uniform hypergraphs, Electron. J. Combin. 21 (2014) P4.24. C. Bu, C. Zhang, A note on the formulas for the Drazin inverse of the sum of two matrices, Linear Algebra Appl. 439 (2013) 565-576. C. Bu, L. Sun, J. Zhou, Y. Wei, Some results on the Drazin inverse of anti-triangular matrices, Linear and Multilinear Algebra 61 (2013) 1568-1576. J. Zhou, C. Bu, Spectral characterization of line graphs of starlike trees, Linear and Multilinear Algebra 61 (2013) 1041-1050. J. Zhou, L. Sun, H. Yao, C. Bu, On the nullity of connected graphs with least eigenvalue at least -2, Appl. Anal. Discrete Math. 7 (2013) 250-261. C. Bu, J. Zhou, Starlike trees whose maximum degree exceed 4 are determined by their Q-spectra, Linear Algebra Appl. 436 (2012) 143-151. C. Bu, L. Sun, J. Zhou, Y. Wei, A note on block representations of the group inverse of Laplacian matrices, Electron. J. Linear Algebra 23 (2012) 866-876. C. Bu, J. Zhou, H. Li, Spectral determination of some chemical graphs, Filomat 26 (2012) 1123-1131. C. Bu, J. Zhou, Signless Laplacian spectral characterization of the cones over some regular graphs, Linear Algebra Appl. 436 (2012) 3634-3641. C. Bu, C. Feng, S. Bai, Representations for the Drazin inverses of the sum of two matrices and some block matrices, Appl. Math. Comput. 218 (2012) 10226-10237. K. Zhang, C. Bu, Group inverses of matrices over right Ore domains, Appl. Math. Comput. 218 (2012) 6942-6953. J. Zhou, C. Bu, Y. Wei, Group inverse for block matrices and some related sign analysis, Linear and Multilinear Algebra 60 (2012) 669-681. J. Zhou, C. Bu, Y. Wei, Some block matrices with signed Drazin inverses, Linear Algebra Appl. 437 (2012) 1779-1792. J. Zhou, C. Bu, Laplacian spectral characterization of some graphs obtained by product operation, Discrete Math. 312 (2012) 1591-1595. C. Bu, J. Zhao, J. Tang, Representation of the Drazin inverse for special block matrix, Appl. Math. Comput. 217 (2011) 4935-4943. J. Zhou, C. Bu, J. Shen, Some results for the periodicity and perfect state transfer, Electron. J. Combin. 18 (2011) P184. C. Bu, K. Zhang, J. Zhao, Representations of the Drazin inverse on solution of a class singular differential equations, Linear and Multilinear Algebra 59 (2011) 863-877. 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 and Multilinear Algebra 58 (2010) 957-966. C. Bu, K. Zhang,The explicit representations of the Drazin inverses of a class of block matrices, Electron. J. Linear Algebra 20 (2010) 406-418. J. Zhao, C. Bu, Group inverse for the block matrix with two identical subblocks over skew fields, Electron. J. Linear Algebra 21 (2010) 63-75. C. Bu, J. Zhao, K. Zhang, Some results on the group inverse for block matrices over skew fields, Electron. J. Linear Algebra 18 (2009) 117-125. C. Bu, M. Li, K. Zhang, L. Zheng, Group inverse for the block matrices with an invertible subblock, Appl. Math. Comput. 215 (2009) 132-139. C. Bu, J. Zhao, J. Zheng, Group inverse for a class 2 × 2 block matrices over skew fields, Appl. Math. Comput. 204 (2008) 45-49.

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。

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