Edit Profile (opens in new tab) Liu, Bolian Compute Distance To: Compute Author ID: liu.bolian Published as: Liu, Bolian; Liu, Bailian; Liu, Bo Lian; Liu, BoLian External Links: ResearchGate · dblp · GND Documents Indexed: 285 Publications since 1985, including 1 Book Co-Authors: 83 Co-Authors with 234 Joint Publications 3,733 Co-Co-Authors all top 5 Co-Authors 41 single-authored 46 Liu, Muhuo 30 Huang, Yufei 20 You, Zhifu 18 Zhou, Bo 14 Cheng, Bo 12 Liu, Jianping 11 Tan, Xuezhong 8 Huang, Fengying 8 Li, Qiaoliang 7 You, Lihua 6 Gutman, Ivan M. 5 Brualdi, Richard Anthony 5 Lai, Hong-Jian 5 Zhang, Xiankun 4 Hou, Huoquan 4 Liu, Jianxi 4 Shao, Jiayu 4 Zhang, Meng 3 Chen, Jinsong 3 Chen, Shexi 3 Chen, Siyuan 3 Gan, Lu 3 Li, Qian 3 Liang, Meili 3 Liu, Yingluan 3 Shan, Zhilong 3 Shen, Jian 3 Wei, Fuyi 3 Yu, Gexin 2 Deng, Zhiyun 2 Divnić, Tomica R. 2 Hou, Xinmin 2 Liang, Yanting 2 Pavlović, Ljiljana R. 2 Rowlinson, Peter 2 Wang, Shouzhong 2 Weng, Weiming 2 Yan, Wang 2 Zhang, Zhongfu 2 Zhao, Kewen 2 Zheng, Ruiling 1 Ahmerkamp, S. 1 Bo, Cheng 1 Chen, Zhibo 1 Cui, Zhihui 1 Das, Kinkar Chandra 1 Feng, Jingfang 1 Gao, Yubin 1 Hu, Shengbiao 1 Ilić, Aleksandar 1 Ilić, Milovan 1 Jaiman, Rajeev Kumar 1 Jia, Zhen 1 Jiang, Wen 1 Jiang, Xiaoyan 1 Jiang, Zhiming 1 Kindler, K. 1 Kuypers, M. M. M. 1 Li, Deying 1 Li, Gang 1 Li, Xueliang 1 Liang, Chaohua 1 Liang, Yangtin 1 Liang, Yueming 1 Liu, Ping 1 Liu, Yan 1 Liu, Yanpei 1 Lou, Dingjun 1 Maerz, Joeran 1 Mao, Jingzhong 1 Radenković, Slavko 1 Shao, Yanling 1 Shao, Yehong 1 Stojanović, Marina M. 1 Stuart, Jeffrey L. 1 Wang, Dan 1 Wang, Ningsheng 1 Wang, Tianming 1 Wang, Xinmao 1 Wang, Yan 1 Wang, Zongyao 1 Wei, Junbin 1 Wu, Xianzhang 1 Wu, Xiaojun 1 Wu, Yang 1 Xuezhong, Tan 1 Zhao, Xujun 1 Zhou, Ju 1 Zhou, Yongsheng all top 5 Serials 35 MATCH - Communications in Mathematical and in Computer Chemistry 32 Linear Algebra and its Applications 26 Ars Combinatoria 12 Discrete Mathematics 10 Utilitas Mathematica 9 ELA. The Electronic Journal of Linear Algebra 8 Acta Mathematicae Applicatae Sinica 7 Linear and Multilinear Algebra 7 Czechoslovak Mathematical Journal 6 Computers & Mathematics with Applications 6 Applied Mathematics Letters 5 Discrete Applied Mathematics 5 Advances in Mathematics 5 The Australasian Journal of Combinatorics 4 Acta Mathematica Sinica 4 Southeast Asian Bulletin of Mathematics 4 Journal of Mathematical Research & Exposition 4 Chinese Annals of Mathematics. Series A 4 Graphs and Combinatorics 4 Journal of Xinjiang University. Natural Science 4 Mathematica Applicata 4 Applied Mathematics 4 Applied Mathematics. Series B (English Edition) 4 Journal of South China Normal University. Natural Science Edition 3 European Journal of Combinatorics 3 Mathematical and Computer Modelling 3 Applied Mathematics. Series A (Chinese Edition) 2 Journal of Computational Physics 2 Journal of Fluid Mechanics 2 The Fibonacci Quarterly 2 Journal of Graph Theory 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Journal of Systems Science and Mathematical Sciences 2 Journal of Lanzhou Railway College 2 Science in China. Series A 2 Chinese Science Bulletin 2 Filomat 2 Hacettepe Journal of Mathematics and Statistics 2 Acta Mathematica Sinica. Chinese Series 1 International Journal of Plasticity 1 Menemui Matematik 1 Applied Mathematics and Computation 1 Bulletin of the Malaysian Mathematical Society. Second Series 1 International Journal for Numerical Methods in Engineering 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Proceedings of the American Mathematical Society 1 Soochow Journal of Mathematics 1 Numerical Mathematics 1 Journal of Mathematics. Wuhan University 1 Mathematics in Practice and Theory 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Hunan Annals of Mathematics 1 Northeastern Mathematical Journal 1 Journal of Central China Normal University. Natural Sciences 1 Systems Science and Mathematical Sciences 1 European Journal of Operational Research 1 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika 1 Bulletin of the Institute of Combinatorics and its Applications 1 The Electronic Journal of Combinatorics 1 Pure and Applied Mathematics 1 Taiwanese Journal of Mathematics 1 Far East Journal of Applied Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Study 1 Acta Mathematica Sinica. English Series 1 Kragujevac Journal of Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mechanica Sinica 1 OR Transactions 1 Journal of Mathematical Research with Applications all top 5 Fields 253 Combinatorics (05-XX) 81 Linear and multilinear algebra; matrix theory (15-XX) 16 Biology and other natural sciences (92-XX) 7 Number theory (11-XX) 7 Mechanics of deformable solids (74-XX) 4 Numerical analysis (65-XX) 4 Operations research, mathematical programming (90-XX) 3 Fluid mechanics (76-XX) 2 Mathematical logic and foundations (03-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 184 Publications have been cited 1,088 times in 662 Documents Cited by ▼ Year ▼ On the nullity of graphs. Zbl 1142.05336Cheng, Bo; Liu, Bolian 54 2007 On the nullity of unicyclic graphs. Zbl 1073.05044Tan, Xuezhong; Liu, Bolian 44 2005 On the nullity of bicyclic graphs. Zbl 1144.05319Hu, Shengbiao; Xuezhong, Tan; Liu, Bolian 41 2008 Generalized exponents of primitive directed graphs. Zbl 0714.05028Brualdi, Richard A.; Liu, Bolian 38 1990 A Laplacian-energy-like invariant of a graph. Zbl 1164.05044Liu, Jianping; Liu, Bolian 38 2008 On the nullity of tricyclic graphs. Zbl 1216.05072Cheng, Bo; Liu, Bolian 22 2011 Augmented Zagreb index of connected graphs. Zbl 1289.05065Huang, Yufei; Liu, Bolian; Gan, Lu 21 2012 The ABC index of trees with given degree sequence. Zbl 1289.05046Gan, Lu; Liu, Bolian; You, Zhifu 21 2012 A survey on the Laplacian-energy-like invariant. Zbl 1265.05395Liu, Bolian; Huang, Yufei; You, Zhifu 21 2011 A survey on comparing Zagreb indices. Zbl 1265.05123Liu, Bolian; You, Zhifu 19 2011 Upper bounds for Zagreb indices of connected graphs. Zbl 1111.05020Liu, Bolian; Gutman, Ivan 19 2006 Some results on atom-bond connectivity index of graphs. Zbl 1265.05576Gan, Lu; Hou, Huoquan; Liu, Bolian 18 2011 The signless Laplacian spread. Zbl 1206.05064Liu, Muhuo; Liu, Bolian 18 2010 Bounds on the base of primitive nearly reducible sign pattern matrices. Zbl 1161.15301Liu, Bolian; You, Lihua 17 2006 On the largest eigenvalue of non-regular graphs. Zbl 1125.05062Liu, Bolian; Shen, Jian; Wang, Xinmao 17 2007 Some properties of the first general Zagreb index. Zbl 1218.05037Liu, Muhuo; Liu, Bolian 16 2010 The Laplacian spread of graphs. Zbl 1245.05089You, Zhifu; Liu, Bolian 16 2012 The second Zagreb indices of unicyclic graphs with given degree sequences. Zbl 1284.05066Liu, Muhuo; Liu, Bolian 15 2014 The maximum clique and the signless Laplacian eigenvalues. Zbl 1174.05079Liu, Jianping; Liu, Bolian 15 2008 The maximum Wiener polarity index of unicyclic graphs. Zbl 1248.05056Hou, Huoquan; Liu, Bolian; Huang, Yufei 13 2012 On the Wiener polarity index. Zbl 1265.05157Liu, Muhuo; Liu, Bolian 13 2011 Bounds on augmented Zagreb index. Zbl 1289.05083Wang, Dan; Huang, Yufei; Liu, Bolian 12 2012 The base sets of primitive zero-symmetric sign pattern matrices. Zbl 1135.15014Cheng, Bo; Liu, Bolian 12 2008 A note on the Randić spectral radius. Zbl 1289.05133Liu, Bolian; Huang, Yufei; Feng, Jingfang 11 2012 A survey on recent results of variable Wiener index. Zbl 1299.05001Liu, Muhuo; Liu, Bolian 11 2013 On a conjecture for the sum of Laplacian eigenvalues. Zbl 1255.05118Wang, Shouzhong; Huang, Yufei; Liu, Bolian 11 2012 On the characterization of graphs with pendent vertices and given nullity. Zbl 1189.05102Liu, Bolian; Huang, Yufei; Chen, Siyuan 11 2009 Bounds of the Estrada index of graphs. Zbl 1240.05195Liu, Jianping; Liu, Bolian 11 2010 Graphs determined by their (signless) Laplacian spectra. Zbl 1227.05185Liu, Muhuo; Liu, Bolian; Wei, Fuyi 10 2011 On general Randić indices. Zbl 1193.92089Gutman, Ivan; Liu, Bolian 10 2007 Trees with the seven smallest and fifteen greatest hyper-Wiener indices. Zbl 1224.05310Liu, Mu-huo; Liu, Bolian 9 2010 On the variable Wiener indices of trees with given maximum degree. Zbl 1205.05073Liu, Muhuo; Liu, Bolian 9 2010 The second Zagreb indices and Wiener polarity indices of trees with given degree sequences. Zbl 1289.05076Liu, Muhuo; Liu, Bolian 9 2012 On relation between energy and Laplacian energy. Zbl 1224.05308Liu, Jianping; Liu, Bolian 9 2009 Some results on the Laplacian spectrum. Zbl 1197.05091Liu, Muhuo; Liu, Bolian 9 2010 Generalized scrambling indices of a primitive digraph. Zbl 1209.05109Huang, Yufei; Liu, Bolian 9 2010 The (signless) Laplacian spectral radius of unicyclic and bicyclic graphs with \(n\) vertices and \(k\) pendant vertices. Zbl 1224.05311Liu, Muhuo; Tan, Xuezhong; Liu, Bolian 8 2010 On the Wiener polarity index of trees with maximum degree or given number of leaves. Zbl 1205.05072Liu, Bolian; Hou, Huoquan; Huang, Yufei 8 2010 The signless Laplacian spectral radius of bicyclic graphs with prescribed degree sequences. Zbl 1222.05130Huang, Yufei; Liu, Bolian; Liu, Yingluan 8 2011 On a conjecture on Randić indices. Zbl 1247.92066Liu, Bolian; Gutman, Ivan 8 2009 Generalized exponents of Boolean matrices. Zbl 1026.05050Liu, Bolian 8 2003 The majorization theorem of connected graphs. Zbl 1183.05040Liu, Muhuo; Liu, Bolian; You, Zhifu 8 2009 The scrambling index of primitive digraphs. Zbl 1201.05042Liu, Bolian; Huang, Yufei 7 2010 Some inequalities about connected domination number. Zbl 0859.05053Bo, Cheng; Liu, Bolian 7 1996 On the spectral moments of unicyclic graphs with fixed diameter. Zbl 1244.05141Cheng, Bo; Liu, Bolian; Liu, Jianxi 7 2012 Complete solution to a conjecture on Randić index. Zbl 1188.90215Li, Xueliang; Liu, Bolian; Liu, Jianxi 7 2010 Bounds on the \(k\)th multi-\(g\) base index of nearly reducible sign pattern matrices. Zbl 1167.15013Li, Qian; Liu, Bolian 7 2008 Ordering (signless) Laplacian spectral radii with maximum degrees of graphs. Zbl 1303.05118Liu, Muhuo; Liu, Bolian; Cheng, Bo 7 2015 Some estimations of Zagreb indices. Zbl 1177.05072Liu, Bolian 7 2007 On fully indecomposable exponent for primitive Boolean matrices with symmetric ones. Zbl 0772.05067Liu, Bolian 7 1992 The scrambling index of symmetric primitive matrices. Zbl 1204.15040Chen, Shexi; Liu, Bolian 7 2010 On Harary matrix, Harary index and Harary energy. Zbl 1289.05274Cui, Zhihui; Liu, Bolian 6 2012 The period and base of a reducible sign pattern matrix. Zbl 1127.15018Liu, Bolian 6 2007 The sum number and integral sum number of complete bipartite graphs. Zbl 0993.05131Wang, Yan; Liu, Bolian 6 2001 On the conjecture of Aouchiche and Hansen about the Randić index. Zbl 1256.05120Liu, Bolian; Pavlović, Ljiljana R.; Divnić, Tomica R.; Liu, Jianxi; Stojanović, Marina M. 6 2013 Recent results on the majorization theory of graph spectrum and topological index theory. Zbl 1323.05075Liu, Muhuo; Liu, Bolian; Das, Kinkar Ch. 6 2015 On the spread of the spectrum of a graph. Zbl 1194.05091Liu, Bolian; Liu, Mu-Huo 6 2009 The \(A_{\alpha}\) spectral radius characterization of some digraphs. Zbl 1405.05106Liu, Jianping; Wu, Xianzhang; Chen, Jinsong; Liu, Bolian 6 2019 Matrices in combinatorics and graph theory. Zbl 0958.05003Liu, Bolian; Lai, Hong-Jian 5 2000 A note on sum of powers of the Laplacian eigenvalues of graphs. Zbl 1203.05097Liu, Muhuo; Liu, Bolian 5 2011 A proof for a conjecture on the Randić index of graphs with diameter. Zbl 1213.05043Liu, Jianxi; Liang, Meili; Cheng, Bo; Liu, Bolian 5 2011 On comparing the variable Zagreb indices. Zbl 1289.05066Huang, Yufei; Liu, Bolian; Zhang, Meng 5 2010 The normalized incidence energy of a graph. Zbl 1282.05104Cheng, Bo; Liu, Bolian 5 2013 The nullity of \((k-1)\)-cyclic graphs. Zbl 1259.05104Tan, Xuezhong; Liu, Bolian 5 2013 On sum of powers of the signless Laplacian eigenvalues of graphs. Zbl 1271.05056Liu, Muhuo; Liu, Bolian 5 2012 A further result on majorization theorem. Zbl 1222.05115Jiang, Xiaoyan; Liu, Yingluan; Liu, Bolian 5 2011 Generalized exponents of primitive simple graphs. Zbl 0785.05045Liu, Bolian 5 1993 The minimum Laplacian spread of unicyclic graphs. Zbl 1206.05066You, Zhifu; Liu, Bolian 5 2010 Multi-\(g\) base index of primitive anti-symmetric sign pattern matrices. Zbl 1221.15019Liang, Yanting; Liu, Bolian; Lai, Hong-Jian 5 2009 Fully indecomposable exponents of primitive matrices. Zbl 0736.05038Brualdi, Richard A.; Liu, Bolian 5 1991 The polytope of even doubly stochastic matrices. Zbl 0754.15017Brualdi, Richard A.; Liu, Bolian 5 1991 Algebraic conditions for \(t\)-tough graphs. Zbl 1224.05307Liu, Bolian; Chen, Siyuan 4 2010 Some results on the majorization theorem of connected graphs. Zbl 1334.05066Liu, Mu Huo; Liu, Bo Lian 4 2012 On a pair of equienergetic graphs. Zbl 1273.92088Liu, Jianping; Liu, Bolian 4 2008 Generalized exponents of primitive, nearly reducible matrices. Zbl 0977.05083Liu, Bolian 4 1999 On the upper bounds for the first Zagreb index. Zbl 1265.05119Ilić, Aleksandar; Ilić, Milovan; Liu, Bolian 4 2011 Note on the minimal Wiener index of connected graphs with \(n\) vertices and radius \(r\). Zbl 1264.05040You, Zhifu; Liu, Bolian 4 2011 The first to ninth greatest LEL-invariants of connected graphs. Zbl 1293.05190Liu, Muhuo; Liu, Bolian; Tan, Xuezhong 4 2014 Bounds on the \(k\)-th generalized base of a primitive sign pattern matrix. Zbl 1196.15030Li, Qian; Liu, Bolian; Stuart, Jeffrey 4 2010 Primitive zero-symmetric sign pattern matrices with the maximum base. Zbl 1193.15029Cheng, Bo; Liu, Bolian 4 2010 A system of gaps in generalized primitive exponents. Zbl 0886.05076Liu, Bolian; Zhou, Bo 4 1997 \(r\)-indecomposable and \(r\)-nearly decomposable matrices. Zbl 1084.15016You, Lihua; Liu, Bolian; Shen, Jian 4 2005 On an upper bound of the spectral radius of graphs. Zbl 1180.05064Liu, Bolian 4 2008 A proof of two conjectures on the Randić index and the average eccentricity. Zbl 1246.05041Liang, Meili; Liu, Bolian 4 2012 Proof of a conjecture on the nullity of a connected graph in terms of order and maximum degree. Zbl 1437.05133Cheng, Bo; Liu, Muhuo; Liu, Bolian 4 2020 Wide diameter and diameter of networks. Zbl 1224.94071Liu, Bolian; Zhang, Xiankun 3 2008 A method of calculating the edge-Szeged index of hexagonal chain. Zbl 1289.05085Wang, Shouzhong; Liu, Bolian 3 2012 On the signless Laplacian spectra of bicyclic and tricyclic graphs. Zbl 1349.05213Liu, Muhuo; Liu, Bolian 3 2015 The degree series of the \(\lambda\)-harmonic graphs. Zbl 1150.05010Liu, Muhuo; Liu, Bolian 3 2007 Estimating the Zagreb and the general Randić indices. Zbl 1164.05007Gutman, Ivan; Liu, Bolian 3 2007 Lexicographical ordering by spectral moments of trees with \(k\) pendant vertices and integer partitions. Zbl 1241.05018Cheng, Bo; Liu, Bolian 3 2012 On a conjecture about the Randić index and diameter. Zbl 1265.05131Zhang, Meng; Liu, Bolian 3 2010 Erratum to “The trees on \(n \geq 9\) vertices with the first to seventeenth greatest wiener indices are chemical trees”. Zbl 1265.05196Liu, Muhuo; Liu, Bolian; Li, Qian 3 2010 E-L equienergetic graphs. Zbl 1265.05396Liu, Jianping; Liu, Bolian 3 2011 The \(k\)th local exponent of doubly symmetric primitive matrices. Zbl 1129.05028Chen, Shexi; Liu, Bolian 3 2006 On the spectrum of the quasi-Laplacian matrix of a graph. Zbl 1102.05039Tan, Xuezhong; Liu, Bolian 3 2006 On a conjecture about the generalized exponent of primitive matrices. Zbl 0791.05049Liu, Bolian; Li, Qiaoliang 3 1994 On harmonious labelings of graphs. Zbl 0793.05102Liu, Bolian; Zhang, Xiankun 3 1993 Generalized exponents of tournament matrices. Zbl 0816.05035Liu, Bolian 3 1994 On the Hall exponents of Boolean matrices. Zbl 0935.05066Liu, Bolian; Bo, Zhou 3 1999 Proof of a conjecture on the nullity of a connected graph in terms of order and maximum degree. Zbl 1437.05133Cheng, Bo; Liu, Muhuo; Liu, Bolian 4 2020 A Nitsche stabilized finite element method for embedded interfaces: application to fluid-structure interaction and rigid-body contact. Zbl 1436.76029Liu, B.; Tan, D. 1 2020 The \(A_{\alpha}\) spectral radius characterization of some digraphs. Zbl 1405.05106Liu, Jianping; Wu, Xianzhang; Chen, Jinsong; Liu, Bolian 6 2019 The extremal general atom-bond connectivity indices of unicyclic and bicyclic graphs. Zbl 1471.92448Liu, Jianping; Zheng, Ruiling; Chen, Jinsong; Liu, Bolian 1 2019 Dynamics and stability of gap-flow interference in a vibrating side-by-side arrangement of two circular cylinders. Zbl 1415.76193Liu, B.; Jaiman, R. K. 2 2018 Quantitative law of diffusion induced fracture. Zbl 1361.74007Lei, H.-J.; Wang, H.-L.; Liu, B.; Wang, C.-A. 1 2016 Ordering (signless) Laplacian spectral radii with maximum degrees of graphs. Zbl 1303.05118Liu, Muhuo; Liu, Bolian; Cheng, Bo 7 2015 Recent results on the majorization theory of graph spectrum and topological index theory. Zbl 1323.05075Liu, Muhuo; Liu, Bolian; Das, Kinkar Ch. 6 2015 On the signless Laplacian spectra of bicyclic and tricyclic graphs. Zbl 1349.05213Liu, Muhuo; Liu, Bolian 3 2015 Extremal graphs for the Randić index when minimum, maximum degrees and order of graphs are odd. Zbl 1337.05061Divnić, Tomica; Pavlović, Ljiljana; Liu, Bolian 2 2015 The second Zagreb indices of unicyclic graphs with given degree sequences. Zbl 1284.05066Liu, Muhuo; Liu, Bolian 15 2014 The first to ninth greatest LEL-invariants of connected graphs. Zbl 1293.05190Liu, Muhuo; Liu, Bolian; Tan, Xuezhong 4 2014 The majorization theorem of extremal pseudographs. Zbl 1297.05122Liu, Muhuo; Liu, Bolian 1 2014 On the Laplacian spectral radii of tricyclic graphs. Zbl 1324.05116Liu, Mu-huo; Wei, Fu-yi; Liu, Bolian 1 2014 Bounds of eigenvalues of a nontrivial bipartite graph. Zbl 1313.05230Lai, Hong-Jian; Liu, Bolian; Zhou, Ju 1 2014 On the extremal Narumi-Katayama index of graphs. Zbl 1464.05120You, Zhifu; Liu, Bolian 1 2014 A survey on recent results of variable Wiener index. Zbl 1299.05001Liu, Muhuo; Liu, Bolian 11 2013 On the conjecture of Aouchiche and Hansen about the Randić index. Zbl 1256.05120Liu, Bolian; Pavlović, Ljiljana R.; Divnić, Tomica R.; Liu, Jianxi; Stojanović, Marina M. 6 2013 The normalized incidence energy of a graph. Zbl 1282.05104Cheng, Bo; Liu, Bolian 5 2013 The nullity of \((k-1)\)-cyclic graphs. Zbl 1259.05104Tan, Xuezhong; Liu, Bolian 5 2013 On the Wiener polarity index of unicyclic graphs. Zbl 1293.05079Huang, Yufei; Hou, Huoquan; Liu, Bolian 2 2013 The generalized (terminal) Wiener polarity index of generalized Bethe trees and coalescence of rooted trees. Zbl 1299.05110Wu, Yang; Wei, Fuyi; Liu, Bolian; Jia, Zhen 2 2013 The majorization theorem for signless Laplacian spectral radii of connected graphs. Zbl 1263.05062Liu, Bolian; Liu, Muhuo; You, Zhifu 2 2013 On the Laplacian-energy-like of graphs. Zbl 1313.05256You, Zhifu; Liu, Bolian 1 2013 On the Randić index and girth of graphs. Zbl 1254.05041Liang, Meili; Liu, Bolian 1 2013 The proof of a conjecture on the Lewin number of primitive non-powerful signed digraphs. Zbl 1258.05044Liu, Muhuo; You, Lihua; Liu, Bolian 1 2013 Augmented Zagreb index of connected graphs. Zbl 1289.05065Huang, Yufei; Liu, Bolian; Gan, Lu 21 2012 The ABC index of trees with given degree sequence. Zbl 1289.05046Gan, Lu; Liu, Bolian; You, Zhifu 21 2012 The Laplacian spread of graphs. Zbl 1245.05089You, Zhifu; Liu, Bolian 16 2012 The maximum Wiener polarity index of unicyclic graphs. Zbl 1248.05056Hou, Huoquan; Liu, Bolian; Huang, Yufei 13 2012 Bounds on augmented Zagreb index. Zbl 1289.05083Wang, Dan; Huang, Yufei; Liu, Bolian 12 2012 A note on the Randić spectral radius. Zbl 1289.05133Liu, Bolian; Huang, Yufei; Feng, Jingfang 11 2012 On a conjecture for the sum of Laplacian eigenvalues. Zbl 1255.05118Wang, Shouzhong; Huang, Yufei; Liu, Bolian 11 2012 The second Zagreb indices and Wiener polarity indices of trees with given degree sequences. Zbl 1289.05076Liu, Muhuo; Liu, Bolian 9 2012 On the spectral moments of unicyclic graphs with fixed diameter. Zbl 1244.05141Cheng, Bo; Liu, Bolian; Liu, Jianxi 7 2012 On Harary matrix, Harary index and Harary energy. Zbl 1289.05274Cui, Zhihui; Liu, Bolian 6 2012 On sum of powers of the signless Laplacian eigenvalues of graphs. Zbl 1271.05056Liu, Muhuo; Liu, Bolian 5 2012 Some results on the majorization theorem of connected graphs. Zbl 1334.05066Liu, Mu Huo; Liu, Bo Lian 4 2012 A proof of two conjectures on the Randić index and the average eccentricity. Zbl 1246.05041Liang, Meili; Liu, Bolian 4 2012 A method of calculating the edge-Szeged index of hexagonal chain. Zbl 1289.05085Wang, Shouzhong; Liu, Bolian 3 2012 Lexicographical ordering by spectral moments of trees with \(k\) pendant vertices and integer partitions. Zbl 1241.05018Cheng, Bo; Liu, Bolian 3 2012 On the Laplacian spectral ratio of connected graphs. Zbl 1248.05116You, Zhifu; Liu, Bolian 2 2012 A method to calculate the characteristic polynomials of a graph on \(n\) vertices by the aid of a computer. Zbl 1289.05303Liu, Muhuo; Liu, Bolian 1 2012 Bounds on the Lewin number for primitive non-powerful signed digraphs. Zbl 1274.05201You, Lihua; Liu, Muhuo; Liu, Bolian 1 2012 New method and new results on the order of spectral radius. Zbl 1238.05164Liu, Muhuo; Liu, Bolian 1 2012 Some results on the spectral radii of trees, unicyclic and bicyclic graphs. Zbl 1253.05097Liu, Muhuo; Liu, Bolian 1 2012 The generalized \(\tau \)-bases of primitive non-powerful signed digraphs with \(d\) loops. Zbl 1256.05093Huang, Yufei; Liu, Bolian; Chen, Siyuan 1 2012 Direct influence of residual stress on the bending stiffness of cantilever beams. Zbl 1371.74179Shi, M. X.; Liu, B.; Zhang, Z. Q.; Zhang, Y. W.; Gao, H. J. 1 2012 On the nullity of tricyclic graphs. Zbl 1216.05072Cheng, Bo; Liu, Bolian 22 2011 A survey on the Laplacian-energy-like invariant. Zbl 1265.05395Liu, Bolian; Huang, Yufei; You, Zhifu 21 2011 A survey on comparing Zagreb indices. Zbl 1265.05123Liu, Bolian; You, Zhifu 19 2011 Some results on atom-bond connectivity index of graphs. Zbl 1265.05576Gan, Lu; Hou, Huoquan; Liu, Bolian 18 2011 On the Wiener polarity index. Zbl 1265.05157Liu, Muhuo; Liu, Bolian 13 2011 Graphs determined by their (signless) Laplacian spectra. Zbl 1227.05185Liu, Muhuo; Liu, Bolian; Wei, Fuyi 10 2011 The signless Laplacian spectral radius of bicyclic graphs with prescribed degree sequences. Zbl 1222.05130Huang, Yufei; Liu, Bolian; Liu, Yingluan 8 2011 A note on sum of powers of the Laplacian eigenvalues of graphs. Zbl 1203.05097Liu, Muhuo; Liu, Bolian 5 2011 A proof for a conjecture on the Randić index of graphs with diameter. Zbl 1213.05043Liu, Jianxi; Liang, Meili; Cheng, Bo; Liu, Bolian 5 2011 A further result on majorization theorem. Zbl 1222.05115Jiang, Xiaoyan; Liu, Yingluan; Liu, Bolian 5 2011 On the upper bounds for the first Zagreb index. Zbl 1265.05119Ilić, Aleksandar; Ilić, Milovan; Liu, Bolian 4 2011 Note on the minimal Wiener index of connected graphs with \(n\) vertices and radius \(r\). Zbl 1264.05040You, Zhifu; Liu, Bolian 4 2011 E-L equienergetic graphs. Zbl 1265.05396Liu, Jianping; Liu, Bolian 3 2011 On the spectral radii and the signless Laplacian spectral radii of c-cyclic graphs with fixed maximum degree. Zbl 1226.05138Liu, Muhuo; Liu, Bolian 2 2011 Generalized \(r\)-exponents of primitve digraphs. Zbl 1234.05152Huang, Yufei; Liu, Bolian 2 2011 On the identities of modulo-\(p\) partitions. Zbl 1234.05033Huang, Yufei; Liu, Bolian 1 2011 Comparing variable Zagreb indices of graphs. Zbl 1265.05156Liu, Bolian; Zhang, Meng; Huang, Yufei 1 2011 The signless Laplacian spread. Zbl 1206.05064Liu, Muhuo; Liu, Bolian 18 2010 Some properties of the first general Zagreb index. Zbl 1218.05037Liu, Muhuo; Liu, Bolian 16 2010 Bounds of the Estrada index of graphs. Zbl 1240.05195Liu, Jianping; Liu, Bolian 11 2010 Trees with the seven smallest and fifteen greatest hyper-Wiener indices. Zbl 1224.05310Liu, Mu-huo; Liu, Bolian 9 2010 On the variable Wiener indices of trees with given maximum degree. Zbl 1205.05073Liu, Muhuo; Liu, Bolian 9 2010 Some results on the Laplacian spectrum. Zbl 1197.05091Liu, Muhuo; Liu, Bolian 9 2010 Generalized scrambling indices of a primitive digraph. Zbl 1209.05109Huang, Yufei; Liu, Bolian 9 2010 The (signless) Laplacian spectral radius of unicyclic and bicyclic graphs with \(n\) vertices and \(k\) pendant vertices. Zbl 1224.05311Liu, Muhuo; Tan, Xuezhong; Liu, Bolian 8 2010 On the Wiener polarity index of trees with maximum degree or given number of leaves. Zbl 1205.05072Liu, Bolian; Hou, Huoquan; Huang, Yufei 8 2010 The scrambling index of primitive digraphs. Zbl 1201.05042Liu, Bolian; Huang, Yufei 7 2010 Complete solution to a conjecture on Randić index. Zbl 1188.90215Li, Xueliang; Liu, Bolian; Liu, Jianxi 7 2010 The scrambling index of symmetric primitive matrices. Zbl 1204.15040Chen, Shexi; Liu, Bolian 7 2010 On comparing the variable Zagreb indices. Zbl 1289.05066Huang, Yufei; Liu, Bolian; Zhang, Meng 5 2010 The minimum Laplacian spread of unicyclic graphs. Zbl 1206.05066You, Zhifu; Liu, Bolian 5 2010 Algebraic conditions for \(t\)-tough graphs. Zbl 1224.05307Liu, Bolian; Chen, Siyuan 4 2010 Bounds on the \(k\)-th generalized base of a primitive sign pattern matrix. Zbl 1196.15030Li, Qian; Liu, Bolian; Stuart, Jeffrey 4 2010 Primitive zero-symmetric sign pattern matrices with the maximum base. Zbl 1193.15029Cheng, Bo; Liu, Bolian 4 2010 On a conjecture about the Randić index and diameter. Zbl 1265.05131Zhang, Meng; Liu, Bolian 3 2010 Erratum to “The trees on \(n \geq 9\) vertices with the first to seventeenth greatest wiener indices are chemical trees”. Zbl 1265.05196Liu, Muhuo; Liu, Bolian; Li, Qian 3 2010 The spectral radius of bicyclic graphs with prescribed degree sequences. Zbl 1215.05106Liu, Yingluan; Liu, Bolian 3 2010 The \(k\)th lower bases of primitive non-powerful signed digraphs. Zbl 1221.05190Liang, Chaohua; Liu, Bolian; Huang, Yufei 2 2010 The Abel-type polynomial identities. Zbl 1215.05086Huang, Fengying; Liu, Bolian 2 2010 On comparing variable Zagreb indices for unicyclic graphs. Zbl 1289.05088Zhang, Meng; Liu, Bolian 1 2010 Study on electroelastic field concentration around the electrode tip in multilayer ferroelectric actuators of two designs and their optimizations. Zbl 1370.74124Zhao, X. J.; Liu, B.; Fang, D. N. 1 2010 On the \(k\)th smallest and \(k\)th greatest modified Wiener indices of trees. Zbl 1225.05088Liu, Muhuo; Liu, Bolian 1 2010 The index of maximum ambiguous density for irreducible non-powerful sign pattern matrices. Zbl 1181.15038Huang, Yufei; Liu, Bolian 1 2010 On a conjecture for fully indecomposable exponent and Hall exponent. Zbl 1201.15014Huang, Yufei; Liu, Bolian 1 2010 On the characterization of graphs with pendent vertices and given nullity. Zbl 1189.05102Liu, Bolian; Huang, Yufei; Chen, Siyuan 11 2009 On relation between energy and Laplacian energy. Zbl 1224.05308Liu, Jianping; Liu, Bolian 9 2009 On a conjecture on Randić indices. Zbl 1247.92066Liu, Bolian; Gutman, Ivan 8 2009 The majorization theorem of connected graphs. Zbl 1183.05040Liu, Muhuo; Liu, Bolian; You, Zhifu 8 2009 On the spread of the spectrum of a graph. Zbl 1194.05091Liu, Bolian; Liu, Mu-Huo 6 2009 Multi-\(g\) base index of primitive anti-symmetric sign pattern matrices. Zbl 1221.15019Liang, Yanting; Liu, Bolian; Lai, Hong-Jian 5 2009 New sharp upper boundes for the first Zagreb index. Zbl 1224.05117Liu, Muhuo; Liu, Bolian 3 2009 On hypoenergetic unicyclic and bicyclic graphs. Zbl 1199.05249You, Zhifu; Liu, Bolian 3 2009 ...and 84 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 796 Authors 55 Liu, Bolian 35 Liu, Muhuo 32 Das, Kinkar Chandra 27 Gutman, Ivan M. 26 Li, Shuchao 18 Chen, Xiaodan 15 Wong, Dein 12 Dimitrov, Darko 12 Milovanović, Emina I. 12 Milovanović, Igor Ž. 12 Zhou, Bo 11 Wang, Ligong 11 Zhang, Xiaodong 10 Robbiano, María 10 Tian, Fenglei 9 Ali, Akbar 9 Cheng, Bo 9 Du, Zhibin 9 Furtula, Boris 9 Gao, Yubin 9 Huang, Yufei 9 Li, Xueliang 9 Shu, Jinlong 9 Xu, Kexiang 8 Fan, Yizheng 8 Liu, Jia-bao 8 Ma, Xiaobin 8 Shen, Jian 8 Trevisan, Vilmar 8 You, Lihua 7 Lin, Huiqiu 7 Miao, Zhengke 7 Pirzada, Shariefuddin 7 Shao, Yanling 7 Škrekovski, Riste 7 Wu, Baoyindureng 7 Yu, Guanglong 6 Ganie, Hilal Ahmad 6 Ilić, Aleksandar 6 Liu, Jianping 6 Matejić, Marjan M. 6 Zhang, Minjie 5 Andrade, Enide 5 Ashrafi, Ali Reza 5 Brualdi, Richard Anthony 5 Chang, An 5 Dehmer, Matthias 5 Deng, Hanyuan 5 Feng, Lihua 5 Guo, Shuguang 5 Kim, Byeong Moon 5 Lai, Hong-Jian 5 Lin, Zhen 5 Lu, Yong 5 Pan, Xiangfeng 5 Rada, Juan 5 Ramane, Harishchandra S. 5 Rodríguez García, José Manuel 5 Song, Byung Chul 5 Wang, Shujing 5 Xue, Jie 5 You, Zhifu 5 Zhou, Qi 5 Zhou, Qiannan 4 Alhevaz, Abdollah 4 Ayyaswamy, Singaraj Kulandaiswamy 4 Baghipur, Maryam 4 Belardo, Francesco 4 Bhatti, Akhlaq Ahmad 4 Cardoso, Domingos Moreira 4 Chen, Jinsong 4 da Fonseca, Carlos Martins 4 Jahanbani, Akbar 4 Knor, Martin 4 Li, Jianxi 4 Ma, Hongping 4 Miao, Lianying 4 Mojallal, Seyed Ahmad 4 Pavlović, Ljiljana R. 4 Shao, Jiayu 4 Sigarreta Almira, José María 4 Tam, Bit-Shun 4 Tan, Shangwang 4 Yu, Guidong 4 Yu, Guihai 4 Zhai, Mingqing 4 Zheng, Yirong 3 Adiga, Chandrashekar 3 Ashoka, K. 3 Balachandran, Selvaraj 3 Bozkurt, Durmuş 3 Bu, Changjiang 3 Chen, Shexi 3 de Abreu, Nair Maria Maia 3 Du, Jianwei 3 Duan, Cunxiang 3 Eliasi, Mehdi 3 Farahani, Mohammad Reza 3 Geng, Xianya 3 Glogić, Edin ...and 696 more Authors all top 5 Cited in 114 Serials 151 Linear Algebra and its Applications 64 Discrete Applied Mathematics 55 Applied Mathematics and Computation 37 Linear and Multilinear Algebra 32 Discrete Mathematics 15 Czechoslovak Mathematical Journal 13 Applied Mathematics Letters 12 Discrete Mathematics, Algorithms and Applications 11 Graphs and Combinatorics 10 Journal of Mathematical Chemistry 10 Journal of Inequalities and Applications 9 ELA. 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Studia Mathematica 1 Symmetry 1 Iranian Journal of Mathematical Sciences and Informatics 1 ISRN Algebra 1 S\(\vec{\text{e}}\)MA Journal 1 ISRN Discrete Mathematics ...and 14 more Serials all top 5 Cited in 24 Fields 632 Combinatorics (05-XX) 166 Linear and multilinear algebra; matrix theory (15-XX) 93 Biology and other natural sciences (92-XX) 14 Operations research, mathematical programming (90-XX) 12 Computer science (68-XX) 6 Group theory and generalizations (20-XX) 6 Information and communication theory, circuits (94-XX) 4 Convex and discrete geometry (52-XX) 4 Probability theory and stochastic processes (60-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year