周波
博士/教授 数学科学学院
研究方向: 组合数学与图论
zhoubo@scnu.edu.cn

教育背景

1986.9-1990.6  华中师范大学
1992.9-1995.6  华南师范大学

工作经历

1995.7至今  华南师范大学数学系(数学科学学院)，曾于2002.11-2003.5访问Seoul National University，曾短期访问新加坡南洋理工大学.

开设课程

本科生： 组合数学、图论、初等数论、离散数学
硕士生： 高等组合学、图论、组合矩阵论、代数图论、图的特征空间、代数组合学、基础代数
博士生： 代数组合学（II）、代数图论（II）、谱图论、极值组合论

科研项目

超图张量谱理论的几个问题，国家自然科学基金项目
超图的距离谱与张量谱理论, 国家自然科学基金项目
代数图论及其在数学化学中的应用，国家自然科学基金项目
组合矩阵论与代数图论，国家自然科学基金项目
非负矩阵的指数理论，国家自然科学基金青年项目
图的谱理论及相关课题，高等学校博士学科点专项科研基金项目
第六届全国组合数学与图论大会，国家自然科学基金数学天元基金项目

学术成果

2024
  • Bo Zhou, Some aspects of spectral graph theory, in: Shiu-Yuen Cheng, Si Li, Shing-Tung Yau (eds.), Proceedings of the International Consortium of Chinese Mathematicians 2019, International Press of Boston, 2024.
  • Leyou Xu, Bo Zhou, Diameter vs. Laplacian eigenvalue distribution, Electron. J. Linear Algebra 40 (2024) 775--788.
  • Leyou Xu, Bo Zhou, Answers to Gould’s question concerning the existence of chorded cycles, Graphs Combin. 40 (2024) 105.
  • Leyou Xu, Bo Zhou, Normalized Laplacian eigenvalues of hypergraphs, Graphs Combin. 40 (2024) 92.
  • Lu Zheng, Bo Zhou, On spectral irregularity of graphs, Aequationes Math. 98 (2024) 1161--1176.
  • Yinqi Lin, Bo Zhou, Infinite sums involving powers of gibonacci polynomials, Fibonacci. Quart. 62 (2) (2024) 147--156.
  • Leyou Xu, Chengli Li, Bo Zhou, Link residual closeness of graphs with fixed parameters, Comput. J. 67 (6) (2024) 2286--2302.
  • Hongying Lin, Bo Zhou, On ABC spectral radius of uniform hypergraphs, J. Combin. Optim. 47 (2024) 85.
  • Leyou Xu, Bo Zhou, Distribution of signless Laplacian eigenvalues and graph invariants, Linear Algebra Appl. 698 (2024) 589--602.
  • Haiyan Guo, Bo Zhou, Graphs for which the second largest distance eigenvalue is less than -\frac{1}{2}, Discrete Math. 347 (9) (2024) 114082.
  • Leyou Xu, Bo Zhou, Laplacain eigenvalue distribution and diameter of graphs, Discrete Math. 347 (7) (2024) 114001.
  • Leyou Xu, Chengli Li, Bo Zhou, Hamiltonicity of 1-tough (P_2 \cup kP_1)-free graphs, Discrete Math. 347 (2) (2024) 113755.
2023
  • Lu Zheng, Bo Zhou, The closeness eigenvalues of graphs, J. Algebraic Combin. 58 (2023) 741--760.
  • Lu Zheng, Bo Zhou, Pareto H-egenvalues of nonnegative tensors and uniform hypergraphs, Electronic J. Linear Algebra 39 (2023) 423--433.
  • Hongying Lin, Gexin Yu, Bo Zhou, On the irregularity of uniform hypergraphs, Linear Algebra Appl. 678 (2023) 107--124.
  • Leyou Xu, Bo Zhou, Proof of a conjecture on distribution of Laplacian eigenvalues and diameter, and beyond, Linear Algebra Appl. 678 (2023) 92--106.
  • Yanna Wang, Bo Zhou, A proof of a conjecture on the distance spectral radius, Linear Algebra Appl. 674 (2023) 124--154.
  • Yanna Wang, Bo Zhou, Residual closeness, matching number and chromatic number, Comput. J. 66 (5) (2023) 1156-1166.
  • Chengli Li, Leyou Xu, Bo Zhou, On the residual closeness of graphs with cut vertices, J. Comb. Optim. 45 (5) (2023) 115.
  • Hongying Lin, Bo Zhou, On the reverse distance spectral radius of graphs, Pac. J. Optim. 19  (2023) 175--185.
  • Haiyan Guo, Bo Zhou, Minimum status of trees with a given degree sequence, Acta Inform. 60 (2023) 1--10.
2022
  • Yanna Wang, Bo Zhou, On distance spectral radius of graphs with given number of pendant paths of fixed length, Aequationes Math. 96 (2022) 1259-1271.
  • Leyou Xu, Bo Zhou, On extremal spectral results of digraphs based on sum distance, Discrete Appl. Math. 320 (2022) 47--67.
  • Hongying Lin, Bo Zhou, On the non-backtracking spectral radius of graphs, Electron. J. Linear Algebra 38 (2022) 254--265.
2021
  • Bo Zhou, Zhenan Li, Haiyan Guo, Extremal results on vertex and link residual closeness, Internat. J. Found. Comput. Sci. 32 (8) (2021) 921--941.
  • Hongying Lin, Bo Zhou, Extremal results on distance Laplacian spectral radius of graphs, Bull. Belg. Math. Soc. Simon Stevin 28 (2) (2021) 233-254.
  • Caixia Liang, Bo Zhou, Haiyan Guo, Minimum status, matching and domination of graphs, Comput. J. 64 (2021) 1384--1392.
  • Hongying Lin, Bo Zhou, New results on α-spectral radius of graphs, Oper. Matrices 15(2) (2021) 435—450.
  • Yiting Cai, Bo Zhou, Mengmeng Gao, On maximal energy of line graphs with given parameters, Linear Algebra Appl. 619 (2021) 12--49.
2020
  • Haiyan Guo, Bo Zhou, On the α-spectral radius of graphs, Appl. Anal. Discrete Math. 14 (2020) 431-458.
  • Yanna Wang, Bo Zhou, Extremal properties of the distance spectral radius of hypergraphs, Electron. J. Linear Algebra 36 (2020) 411--419.
  • Hongying Lin, Bo Zhou, Distance spectral radius of trees with given number of segments, Linear Algebra Appl. 600 (2020) 40--59.
  • Hezan Huang, Bo Zhou, Distance spectral radius of unicyclic graphs with fixed maximum degree, J. Algebra Appl. 19 (2020) 2050068, 18 pp. .
  • Hongying Lin, Haiyan Guo, Bo Zhou, On the α-spectral radius of irregular uniform hypergraphs, Linear Multilinear Algebra 68 (2020) 265--277.
2019
  • Hongying Lin, Bo Zhou, The distance spectral radius of trees, Linear Multilinear Algebra 67 (2019) 370-390.
2018
  • Haiyan Guo, Bo Zhou, On the spectral radius of uniform hypertrees, Linear Algebra Appl. 558 (2018) 236--249.
  • Yanna Wang, Bo Zhou, On distance spectral radius of hypergraphs, Linear Multilinear Algebra 44 (2018) 2232-2246.
  • Hongying Lin, Zhibin Du, Bo Zhou, On the first two largest distance Laplacian eigenvalues of unicyclic graphs, Linear Algebra Appl. 546 (2018) 289--307.
  • Hongying Lin, Bo Zhou, Yaduan Li, On distance spectral radius of uniform hypergraphs, Linear Multilinear Algebra 66 (2018) 497--513.
2017
  • Hongying Lin, Bo Zhou, Yanna Wang, Distance (signless) Laplacian spectral radius of uniform hypergraphs, Linear Algebra Appl. 529 (2017) 271--293.
  • Hongying Lin, Bo Zhou, Spectral radius of uniform hypergraphs, Linear Algebra Appl. 527 (2017) 32--52. 
  • Hongying Lin, Bo Zhou, On sharp bounds for spectral radius of nonnegative matrices, Linear Multilinear Algebra 65 (2017) 1554--1565.
  • Rundan Xing, Bo Zhou, On the two largest distance eigenvalues of graph powers, Inform.  Process. Lett. 119 (2017) 39--43.
2016
  • Hongying Lin, Bo Zhou, Biao Mo, Upper bounds for H- and Z-spectral radii of uniform hypergraphs, Linear Algebra Appl. 510 (2016) 205--221.
  • Hongying Lin, Bo Zhou, Distance spectral radius of uniform hypergraphs, Linear Algebra Appl. 506 (2016) 564--578.
  • Rundan Xing, Bo Zhou, On the second largest distance eigenvalue, Linear Multilinear Algebra 64 (2016)  1887--1898.
  • Hongying Lin, Bo Zhou, The distance spectral radius of graphs with given number of odd vertices, Electron. J. Linear Algebra 31 (2016) 286--305.
  • Hongying Lin, Bo Zhou, The effect of graft transformations on distance signless Laplacian spectral radius, Linear Algebra Appl. 504 (2016) 433--461.
  • Yijuan Liang, Bo Zhou, On the distance spread of cacti and bicyclic graphs, Discrete Appl. Math. 206 (2016) 195--202.
  • Yunfang Tang, Douglas B. West, Bo Zhou, Extremal problems for degree-based topological indices, Discrete Appl. Math. 203 (2016) 134--143.
2015
  • Hongying Lin, Bo Zhou, On the distance Laplacian spectral radius of graphs, Linear Algebra Appl. 475 (2015) 265--275.
  • Rundan Xing, Bo Zhou, Laplacian and signless Laplacian spectral radii of graphs with fixed domination number, Math. Nachr. 288 (2015) 476--480.
  • Jie Lan, Bo Zhou, Spectra of graph operations based on R-graph, Linear Multilinear Algebra 63 (2015) 1401--1422.
  • Hongying Lin, Bo Zhou, Graphs with at most one signless Laplacian eigenvalue exceeding three, Linear Multilinear Algebra 63 (2015) 377--383.
2014
  • Rundan Xing, Bo Zhou, Fengming Dong, The effect of a graft transformation on distance spectral radius, Linear Algebra Appl. 457 (2014) 261--275.
  • Rundan Xing, Bo Zhou, Jianping Li, On the distance signless Laplacian spectral radius of graphs, Linear Multilinear Algebra 62 (2014) 1377--1387.
  • Rundan Xing, Bo Zhou, Sharp bounds for the spectral radius of nonnegative matrices, Linear Algebra Appl. 449 (2014) 194--209.
  • Hongying Lin, Bo Zhou, On least distance eigenvalues of trees, unicyclic graphs and bicyclic graphs, Linear Algebra Appl. 443 (2014) 153--163.
2013
  • Rundan Xing, Bo Zhou, On the distance and distance signless Laplacian spectral radii of bicyclic graphs, Linear Algebra Appl. 439 (2013) 3955--3963.
  • Xing Duan, Bo Zhou, Sharp bounds on the spectral radius of a nonnegative matrix, Linear Algebra Appl. 439 (2013) 2961--2970.
  • Yanna Wang, Bo Zhou, On distance spectral radius of graphs, Linear Algebra Appl. 438 (2013) 3490--3503.
  • Rundan Xing, Bo Zhou, On least eigenvalues and least eigenvectors of real symmetric matrices and graphs, Linear Algebra Appl. 438 (2013) 2378--2384.
  • Rundan Xing, Bo Zhou, On the least eigenvalue of cacti with pendant vertices, Linear Algebra Appl. 438 (2013) 2256--2273.
  • Shilin Wang, Bo Zhou, The signless Laplacian spectra of the corona and edge corona of two graphs, Linear Multilinear Algebra 61 (2013) 197--204.
2012
  • Zhibin Du, Bo Zhou, Rundan Xing, On maximum Estrada indices of graphs with given parameters, Linear Algebra Appl. 436 (2012) 3767--3772. 
  • Zhibin Du, Bo Zhou, Upper bounds for the sum of Laplacian eigenvalues of graphs, Linear Algebra Appl. 436 (2012) 3672--3683. 
  • Zhibin Du, Bo Zhou, The Estrada index of unicyclic graphs, Linear Algebra Appl. 436 (2012) 3149--3159.
  • Jianbin Zhang, Bo Zhou, Zhongzhu Liu, On the minimal eccentric connectivity indices of graphs, Discrete Math. 312 (2012) 819--829. 
2011
  • Rundan Xing, Bo Zhou, On hyper-Kirchhoff index, Math. Comput. Modelling 54 (2011) 2326--2337. 
  • Rundan Xing, Bo Zhou, Fengming Dong, On atom-bond connectivity index of connected graphs, Discrete Appl. Math. 159 (2011) 1617--1630. 
  • Xuli Qi, Bo Zhou, Extremal properties of reciprocal complementary Wiener number of trees, Comput. Math. Appl. 62 (2011) 523--531. 
  • Zhibin Du, Bo Zhou, On the Estrada index of graphs with given number of cut edges, Electron. J. Linear Algebra 22 (2011) 586--592.    
  • Zhibin Du, Bo Zhou, The Estrada index of trees, Linear Algebra Appl. 435 (2011) 2462--2467. 
  • Rundan Xing, Bo Zhou, On the edge Szeged index of bridge graphs, C. R. Math. Acad. Sci. Paris 349 (2011) 489--492. 
  • Zhibin Du, Bo Zhou, Nenad Trinajstic, On the general sum-connectivity index of trees, Appl. Math. Lett. 24 (2011) 42--45. 
2001-2010
  • Bo Zhou, Signless Laplacian spectral radius and Hamiltonicity, Linear Algebra Appl. 432 (2010) 566--570. 
  • Bo Zhou, Damir Vukicevic, On Wiener-type polynomials of thorn graphs, J. Chemometr. 23 (2009) 600--604. 
  • Bo Zhou, Nenad Trinajstic, On a novel connectivity index, J. Math. Chem. 46 (2009) 1252--1270. 
  • Wei Luo, Bo Zhou, On ordinary and reverse Wiener indices of non-caterpillars, Math. Comput. Modelling 50 (2009) 188--193. 
  • Bo Zhou, Nenad Trinajstic, On resistance-distance and Kirchhoff index, J. Math. Chem. 46 (2009) 283--289. 
  • Zhibin Du, Bo Zhou, On the reverse Wiener indices of unicyclic graphs, Acta Appl. Math. 106 (2009) 293--306. 
  • Bo Zhou, On sum of powers of the Laplacian eigenvalues of graphs, Linear Algebra Appl. 429 (2008) 2239--2246. 
  • Bo Zhou, Nenad Trinajstic, A note on Kirchhoff index, Chem. Phys. Lett. 445 (2008) 120--123. 
  • Bo Zhou, Ivan Gutman, A connection between ordinary and Laplacian spectra of bipartite graphs, Linear Multilinear Algebra 56 (2008) 305--310. 
  • Bo Zhou, Nenad Trinajstic, On the largest eigenvalue of the distance matrix of a connected graph, Chem. Phys. Lett. 447 (2007) 384--387. 
  • Ivan Gutman, Bo Zhou, Laplacian energy of a graph, Linear Algebra Appl. 414 (2006) 29--37.   
  • Bing Zhang, Bo Zhou, On modified and reverse Wiener indices of trees, Z. Naturforsch. 61a (2006) 536--540. 
  • 周波, Han Hyuk Cho, Suh-Ryung Kim, 含s-圈布尔矩阵类的幂敛指数集, 数学物理学报 A辑 26 (2006) 641--646.
  • Jianbin Zhang, Bo Zhou, On bicyclic graphs with minimal energies, J. Math. Chem. 37 (2005) 423--431.
  • 周波, 具有确定非零对角元个数布尔矩阵广义幂敛指数的极矩阵, 数学学报 48 (2005) 17--24.
  • Bo Zhou, Bounds for the index of a modified graph, Discuss. Math. Graph Theory 24 (2004) 213--221.
  • Bo Zhou, Power indices of trace zero symmetric Boolean matrices, Discuss. Math. Gen. Algebra Appl. 24 (2004) 53--61.
  • Bo Zhou, Jian Shen, On generalized exponents of tournaments, Taiwanese J. Math. 6 (2002) 565--572.
  • Bo Zhou, The changes in indices of modified graphs, Linear Algebra Appl. 356 (2002) 95--101. 
  • Bo Zhou, On the generalized indices of Boolean matrices, Linear Multilinear Algebra 49 (2001) 131--141.
-2000
  • Bo Zhou, Bolian Liu, New results on the common consequent index of a binary relation, European J. Combin. 21 (2000) 167--179. 
  • Bo Zhou, The upper generalized exponent of a digraph, 数学进展 (2000) 499--506.
  • Bo Zhou, Bolian Liu, Matrices with maximum exponents in the class of doubly stochastic primitive matrices, Discrete Appl. Math. 91 (1999) 53--66.
  • 柳柏濂, 周波, 李乔良, 迹非零的布尔矩阵的广义幂敛指数, 应用数学学报 22 (1999) 574--578.
  • 周波, 柳柏濂, 布尔矩阵的幂敛指数集, 数学进展 28 (1999) 431--436.
  • Bolian Liu, Bo Zhou, The kth upper multiexponents of primitive matrices, Graphs Combin. 14 (1998) 155--162.
  • Bo Zhou, Matrices with maximum upper multiexponents in the class of primitive, nearly reducible matrices, Taiwanese J. Math. 2 (1998) 181--190.
  • 周波, 柳柏濂, 恰有t行含s圈正元的布尔方阵幂敛指数, 数学学报 41 (1998) 517--524.
  • 周波, 柳柏濂, 迹非零的布尔矩阵幂敛指数的极阵刻画, 数学进展 25 (1996) 540--547.

MATCH及其他：
  • Jin Cai, Bo Zhou, From ultimate energy to graph energies, MATCH Commun. Math. Comput. Chem. 91 (2024) 769--778.
  • Zhibin Du, Bo Zhou, On quotient of geometric-arithmetic index and square of spectral radius, MATCH Commun. Math. Comput. Chem. 85 (2021) 77--86.
  • Haiyan Guo, Bo Zhou, Properties of degree distance and Gutman index of uniform hypergraphs, MATCH Commun. Math. Comput. Chem. 78 (2017) 213--220.
  • Yunfang Tang, Bo Zhou, On average eccentricity, MATCH Commun. Math. Comput. Chem. 67 (2012) 405--423.
  • Bo Zhou, Dragan Stevanovic, A note on Zagreb indices, MATCH Commun. Math. Comput. Chem. 56 (2006) 571--578.
  • Rundan Xing, Bo Zhou, Extremal trees with fixed degree sequence for atom-bond connectivity index, Filomat 26 (4) (2012) 683--688.
  • Bo Zhou, Nenad Trinajstic, On sum-connectivity matrix and sum-connectivity energy of (molecular) graphs, Acta Chim. Slov. 57 (2010) 513--517.

社会兼职

中国数学会组合数学与图论专业委员会委员
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
中国运筹学会图论组合分会理事

其他

学术会议邀请报告： 
  • 2012 International Conference on Graph Theory, Combinatorics and Applications, 浙江师范大学, 2012.10.26--10.30：On difference between diameter and average distance
  • 图与超图谱理论国际研讨会议，福州大学，2013.5.30-6.2：On the sum of Laplacian eigenvalues of graphs
  • 第七届海峡两岸图论与组合数学学术会议，湖南师范大学，2013.6.27-2013.6.30：On distance spectral radius of graphs
  • 第八届世界华人数学家大会，清华大学，2019.6.9-6.14：Some aspects of spectral graph theory
  • 第十届全国组合数学与图论大会，哈尔滨，2022.8.19-8.22：Some recent results on the distance spectral radius
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