Liu, Bolian

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 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
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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
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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
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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)

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 1142.05336
Cheng, Bo; Liu, Bolian
2007
On the nullity of unicyclic graphs. Zbl 1073.05044
Tan, Xuezhong; Liu, Bolian
2005
On the nullity of bicyclic graphs. Zbl 1144.05319
Hu, Shengbiao; Xuezhong, Tan; Liu, Bolian
2008
Generalized exponents of primitive directed graphs. Zbl 0714.05028
Brualdi, Richard A.; Liu, Bolian
1990
A Laplacian-energy-like invariant of a graph. Zbl 1164.05044
Liu, Jianping; Liu, Bolian
2008
On the nullity of tricyclic graphs. Zbl 1216.05072
Cheng, Bo; Liu, Bolian
2011
Augmented Zagreb index of connected graphs. Zbl 1289.05065
Huang, Yufei; Liu, Bolian; Gan, Lu
2012
The ABC index of trees with given degree sequence. Zbl 1289.05046
Gan, Lu; Liu, Bolian; You, Zhifu
2012
A survey on the Laplacian-energy-like invariant. Zbl 1265.05395
Liu, Bolian; Huang, Yufei; You, Zhifu
2011
A survey on comparing Zagreb indices. Zbl 1265.05123
Liu, Bolian; You, Zhifu
2011
Upper bounds for Zagreb indices of connected graphs. Zbl 1111.05020
Liu, Bolian; Gutman, Ivan
2006
Some results on atom-bond connectivity index of graphs. Zbl 1265.05576
Gan, Lu; Hou, Huoquan; Liu, Bolian
2011
The signless Laplacian spread. Zbl 1206.05064
Liu, Muhuo; Liu, Bolian
2010
Bounds on the base of primitive nearly reducible sign pattern matrices. Zbl 1161.15301
Liu, Bolian; You, Lihua
2006
On the largest eigenvalue of non-regular graphs. Zbl 1125.05062
Liu, Bolian; Shen, Jian; Wang, Xinmao
2007
Some properties of the first general Zagreb index. Zbl 1218.05037
Liu, Muhuo; Liu, Bolian
2010
The Laplacian spread of graphs. Zbl 1245.05089
You, Zhifu; Liu, Bolian
2012
The second Zagreb indices of unicyclic graphs with given degree sequences. Zbl 1284.05066
Liu, Muhuo; Liu, Bolian
2014
The maximum clique and the signless Laplacian eigenvalues. Zbl 1174.05079
Liu, Jianping; Liu, Bolian
2008
The maximum Wiener polarity index of unicyclic graphs. Zbl 1248.05056
Hou, Huoquan; Liu, Bolian; Huang, Yufei
2012
On the Wiener polarity index. Zbl 1265.05157
Liu, Muhuo; Liu, Bolian
2011
Bounds on augmented Zagreb index. Zbl 1289.05083
Wang, Dan; Huang, Yufei; Liu, Bolian
2012
The base sets of primitive zero-symmetric sign pattern matrices. Zbl 1135.15014
Cheng, Bo; Liu, Bolian
2008
A note on the Randić spectral radius. Zbl 1289.05133
Liu, Bolian; Huang, Yufei; Feng, Jingfang
2012
A survey on recent results of variable Wiener index. Zbl 1299.05001
Liu, Muhuo; Liu, Bolian
2013
On a conjecture for the sum of Laplacian eigenvalues. Zbl 1255.05118
Wang, Shouzhong; Huang, Yufei; Liu, Bolian
2012
On the characterization of graphs with pendent vertices and given nullity. Zbl 1189.05102
Liu, Bolian; Huang, Yufei; Chen, Siyuan
2009
Bounds of the Estrada index of graphs. Zbl 1240.05195
Liu, Jianping; Liu, Bolian
2010
Graphs determined by their (signless) Laplacian spectra. Zbl 1227.05185
Liu, Muhuo; Liu, Bolian; Wei, Fuyi
2011
On general Randić indices. Zbl 1193.92089
Gutman, Ivan; Liu, Bolian
2007
Trees with the seven smallest and fifteen greatest hyper-Wiener indices. Zbl 1224.05310
Liu, Mu-huo; Liu, Bolian
2010
On the variable Wiener indices of trees with given maximum degree. Zbl 1205.05073
Liu, Muhuo; Liu, Bolian
2010
The second Zagreb indices and Wiener polarity indices of trees with given degree sequences. Zbl 1289.05076
Liu, Muhuo; Liu, Bolian
2012
On relation between energy and Laplacian energy. Zbl 1224.05308
Liu, Jianping; Liu, Bolian
2009
Some results on the Laplacian spectrum. Zbl 1197.05091
Liu, Muhuo; Liu, Bolian
2010
Generalized scrambling indices of a primitive digraph. Zbl 1209.05109
Huang, Yufei; Liu, Bolian
2010
The (signless) Laplacian spectral radius of unicyclic and bicyclic graphs with $$n$$ vertices and $$k$$ pendant vertices. Zbl 1224.05311
Liu, Muhuo; Tan, Xuezhong; Liu, Bolian
2010
On the Wiener polarity index of trees with maximum degree or given number of leaves. Zbl 1205.05072
Liu, Bolian; Hou, Huoquan; Huang, Yufei
2010
The signless Laplacian spectral radius of bicyclic graphs with prescribed degree sequences. Zbl 1222.05130
Huang, Yufei; Liu, Bolian; Liu, Yingluan
2011
On a conjecture on Randić indices. Zbl 1247.92066
Liu, Bolian; Gutman, Ivan
2009
Generalized exponents of Boolean matrices. Zbl 1026.05050
Liu, Bolian
2003
The majorization theorem of connected graphs. Zbl 1183.05040
Liu, Muhuo; Liu, Bolian; You, Zhifu
2009
The scrambling index of primitive digraphs. Zbl 1201.05042
Liu, Bolian; Huang, Yufei
2010
Some inequalities about connected domination number. Zbl 0859.05053
Bo, Cheng; Liu, Bolian
1996
On the spectral moments of unicyclic graphs with fixed diameter. Zbl 1244.05141
Cheng, Bo; Liu, Bolian; Liu, Jianxi
2012
Complete solution to a conjecture on Randić index. Zbl 1188.90215
Li, Xueliang; Liu, Bolian; Liu, Jianxi
2010
Bounds on the $$k$$th multi-$$g$$ base index of nearly reducible sign pattern matrices. Zbl 1167.15013
Li, Qian; Liu, Bolian
2008
Ordering (signless) Laplacian spectral radii with maximum degrees of graphs. Zbl 1303.05118
Liu, Muhuo; Liu, Bolian; Cheng, Bo
2015
Some estimations of Zagreb indices. Zbl 1177.05072
Liu, Bolian
2007
On fully indecomposable exponent for primitive Boolean matrices with symmetric ones. Zbl 0772.05067
Liu, Bolian
1992
The scrambling index of symmetric primitive matrices. Zbl 1204.15040
Chen, Shexi; Liu, Bolian
2010
On Harary matrix, Harary index and Harary energy. Zbl 1289.05274
Cui, Zhihui; Liu, Bolian
2012
The period and base of a reducible sign pattern matrix. Zbl 1127.15018
Liu, Bolian
2007
The sum number and integral sum number of complete bipartite graphs. Zbl 0993.05131
Wang, Yan; Liu, Bolian
2001
On the conjecture of Aouchiche and Hansen about the Randić index. Zbl 1256.05120
Liu, Bolian; Pavlović, Ljiljana R.; Divnić, Tomica R.; Liu, Jianxi; Stojanović, Marina M.
2013
Recent results on the majorization theory of graph spectrum and topological index theory. Zbl 1323.05075
Liu, Muhuo; Liu, Bolian; Das, Kinkar Ch.
2015
On the spread of the spectrum of a graph. Zbl 1194.05091
Liu, Bolian; Liu, Mu-Huo
2009
The $$A_{\alpha}$$ spectral radius characterization of some digraphs. Zbl 1405.05106
Liu, Jianping; Wu, Xianzhang; Chen, Jinsong; Liu, Bolian
2019
Matrices in combinatorics and graph theory. Zbl 0958.05003
Liu, Bolian; Lai, Hong-Jian
2000
A note on sum of powers of the Laplacian eigenvalues of graphs. Zbl 1203.05097
Liu, Muhuo; Liu, Bolian
2011
A proof for a conjecture on the Randić index of graphs with diameter. Zbl 1213.05043
Liu, Jianxi; Liang, Meili; Cheng, Bo; Liu, Bolian
2011
On comparing the variable Zagreb indices. Zbl 1289.05066
Huang, Yufei; Liu, Bolian; Zhang, Meng
2010
The normalized incidence energy of a graph. Zbl 1282.05104
Cheng, Bo; Liu, Bolian
2013
The nullity of $$(k-1)$$-cyclic graphs. Zbl 1259.05104
Tan, Xuezhong; Liu, Bolian
2013
On sum of powers of the signless Laplacian eigenvalues of graphs. Zbl 1271.05056
Liu, Muhuo; Liu, Bolian
2012
A further result on majorization theorem. Zbl 1222.05115
Jiang, Xiaoyan; Liu, Yingluan; Liu, Bolian
2011
Generalized exponents of primitive simple graphs. Zbl 0785.05045
Liu, Bolian
1993
The minimum Laplacian spread of unicyclic graphs. Zbl 1206.05066
You, Zhifu; Liu, Bolian
2010
Multi-$$g$$ base index of primitive anti-symmetric sign pattern matrices. Zbl 1221.15019
Liang, Yanting; Liu, Bolian; Lai, Hong-Jian
2009
Fully indecomposable exponents of primitive matrices. Zbl 0736.05038
Brualdi, Richard A.; Liu, Bolian
1991
The polytope of even doubly stochastic matrices. Zbl 0754.15017
Brualdi, Richard A.; Liu, Bolian
1991
Algebraic conditions for $$t$$-tough graphs. Zbl 1224.05307
Liu, Bolian; Chen, Siyuan
2010
Some results on the majorization theorem of connected graphs. Zbl 1334.05066
Liu, Mu Huo; Liu, Bo Lian
2012
On a pair of equienergetic graphs. Zbl 1273.92088
Liu, Jianping; Liu, Bolian
2008
Generalized exponents of primitive, nearly reducible matrices. Zbl 0977.05083
Liu, Bolian
1999
On the upper bounds for the first Zagreb index. Zbl 1265.05119
Ilić, Aleksandar; Ilić, Milovan; Liu, Bolian
2011
Note on the minimal Wiener index of connected graphs with $$n$$ vertices and radius $$r$$. Zbl 1264.05040
You, Zhifu; Liu, Bolian
2011
The first to ninth greatest LEL-invariants of connected graphs. Zbl 1293.05190
Liu, Muhuo; Liu, Bolian; Tan, Xuezhong
2014
Bounds on the $$k$$-th generalized base of a primitive sign pattern matrix. Zbl 1196.15030
Li, Qian; Liu, Bolian; Stuart, Jeffrey
2010
Primitive zero-symmetric sign pattern matrices with the maximum base. Zbl 1193.15029
Cheng, Bo; Liu, Bolian
2010
A system of gaps in generalized primitive exponents. Zbl 0886.05076
Liu, Bolian; Zhou, Bo
1997
$$r$$-indecomposable and $$r$$-nearly decomposable matrices. Zbl 1084.15016
You, Lihua; Liu, Bolian; Shen, Jian
2005
On an upper bound of the spectral radius of graphs. Zbl 1180.05064
Liu, Bolian
2008
A proof of two conjectures on the Randić index and the average eccentricity. Zbl 1246.05041
Liang, Meili; Liu, Bolian
2012
Proof of a conjecture on the nullity of a connected graph in terms of order and maximum degree. Zbl 1437.05133
Cheng, Bo; Liu, Muhuo; Liu, Bolian
2020
Wide diameter and diameter of networks. Zbl 1224.94071
Liu, Bolian; Zhang, Xiankun
2008
A method of calculating the edge-Szeged index of hexagonal chain. Zbl 1289.05085
Wang, Shouzhong; Liu, Bolian
2012
On the signless Laplacian spectra of bicyclic and tricyclic graphs. Zbl 1349.05213
Liu, Muhuo; Liu, Bolian
2015
The degree series of the $$\lambda$$-harmonic graphs. Zbl 1150.05010
Liu, Muhuo; Liu, Bolian
2007
Estimating the Zagreb and the general Randić indices. Zbl 1164.05007
Gutman, Ivan; Liu, Bolian
2007
Lexicographical ordering by spectral moments of trees with $$k$$ pendant vertices and integer partitions. Zbl 1241.05018
Cheng, Bo; Liu, Bolian
2012
On a conjecture about the Randić index and diameter. Zbl 1265.05131
Zhang, Meng; Liu, Bolian
2010
Erratum to “The trees on $$n \geq 9$$ vertices with the first to seventeenth greatest wiener indices are chemical trees”. Zbl 1265.05196
Liu, Muhuo; Liu, Bolian; Li, Qian
2010
E-L equienergetic graphs. Zbl 1265.05396
Liu, Jianping; Liu, Bolian
2011
The $$k$$th local exponent of doubly symmetric primitive matrices. Zbl 1129.05028
Chen, Shexi; Liu, Bolian
2006
On the spectrum of the quasi-Laplacian matrix of a graph. Zbl 1102.05039
Tan, Xuezhong; Liu, Bolian
2006
On a conjecture about the generalized exponent of primitive matrices. Zbl 0791.05049
Liu, Bolian; Li, Qiaoliang
1994
On harmonious labelings of graphs. Zbl 0793.05102
Liu, Bolian; Zhang, Xiankun
1993
Generalized exponents of tournament matrices. Zbl 0816.05035
Liu, Bolian
1994
On the Hall exponents of Boolean matrices. Zbl 0935.05066
Liu, Bolian; Bo, Zhou
1999
Proof of a conjecture on the nullity of a connected graph in terms of order and maximum degree. Zbl 1437.05133
Cheng, Bo; Liu, Muhuo; Liu, Bolian
2020
A Nitsche stabilized finite element method for embedded interfaces: application to fluid-structure interaction and rigid-body contact. Zbl 1436.76029
Liu, B.; Tan, D.
2020
The $$A_{\alpha}$$ spectral radius characterization of some digraphs. Zbl 1405.05106
Liu, Jianping; Wu, Xianzhang; Chen, Jinsong; Liu, Bolian
2019
The extremal general atom-bond connectivity indices of unicyclic and bicyclic graphs. Zbl 1471.92448
Liu, Jianping; Zheng, Ruiling; Chen, Jinsong; Liu, Bolian
2019
Dynamics and stability of gap-flow interference in a vibrating side-by-side arrangement of two circular cylinders. Zbl 1415.76193
Liu, B.; Jaiman, R. K.
2018
Quantitative law of diffusion induced fracture. Zbl 1361.74007
Lei, H.-J.; Wang, H.-L.; Liu, B.; Wang, C.-A.
2016
Ordering (signless) Laplacian spectral radii with maximum degrees of graphs. Zbl 1303.05118
Liu, Muhuo; Liu, Bolian; Cheng, Bo
2015
Recent results on the majorization theory of graph spectrum and topological index theory. Zbl 1323.05075
Liu, Muhuo; Liu, Bolian; Das, Kinkar Ch.
2015
On the signless Laplacian spectra of bicyclic and tricyclic graphs. Zbl 1349.05213
Liu, Muhuo; Liu, Bolian
2015
Extremal graphs for the Randić index when minimum, maximum degrees and order of graphs are odd. Zbl 1337.05061
Divnić, Tomica; Pavlović, Ljiljana; Liu, Bolian
2015
The second Zagreb indices of unicyclic graphs with given degree sequences. Zbl 1284.05066
Liu, Muhuo; Liu, Bolian
2014
The first to ninth greatest LEL-invariants of connected graphs. Zbl 1293.05190
Liu, Muhuo; Liu, Bolian; Tan, Xuezhong
2014
The majorization theorem of extremal pseudographs. Zbl 1297.05122
Liu, Muhuo; Liu, Bolian
2014
On the Laplacian spectral radii of tricyclic graphs. Zbl 1324.05116
Liu, Mu-huo; Wei, Fu-yi; Liu, Bolian
2014
Bounds of eigenvalues of a nontrivial bipartite graph. Zbl 1313.05230
Lai, Hong-Jian; Liu, Bolian; Zhou, Ju
2014
On the extremal Narumi-Katayama index of graphs. Zbl 1464.05120
You, Zhifu; Liu, Bolian
2014
A survey on recent results of variable Wiener index. Zbl 1299.05001
Liu, Muhuo; Liu, Bolian
2013
On the conjecture of Aouchiche and Hansen about the Randić index. Zbl 1256.05120
Liu, Bolian; Pavlović, Ljiljana R.; Divnić, Tomica R.; Liu, Jianxi; Stojanović, Marina M.
2013
The normalized incidence energy of a graph. Zbl 1282.05104
Cheng, Bo; Liu, Bolian
2013
The nullity of $$(k-1)$$-cyclic graphs. Zbl 1259.05104
Tan, Xuezhong; Liu, Bolian
2013
On the Wiener polarity index of unicyclic graphs. Zbl 1293.05079
Huang, Yufei; Hou, Huoquan; Liu, Bolian
2013
The generalized (terminal) Wiener polarity index of generalized Bethe trees and coalescence of rooted trees. Zbl 1299.05110
Wu, Yang; Wei, Fuyi; Liu, Bolian; Jia, Zhen
2013
The majorization theorem for signless Laplacian spectral radii of connected graphs. Zbl 1263.05062
Liu, Bolian; Liu, Muhuo; You, Zhifu
2013
On the Laplacian-energy-like of graphs. Zbl 1313.05256
You, Zhifu; Liu, Bolian
2013
On the Randić index and girth of graphs. Zbl 1254.05041
Liang, Meili; Liu, Bolian
2013
The proof of a conjecture on the Lewin number of primitive non-powerful signed digraphs. Zbl 1258.05044
Liu, Muhuo; You, Lihua; Liu, Bolian
2013
Augmented Zagreb index of connected graphs. Zbl 1289.05065
Huang, Yufei; Liu, Bolian; Gan, Lu
2012
The ABC index of trees with given degree sequence. Zbl 1289.05046
Gan, Lu; Liu, Bolian; You, Zhifu
2012
The Laplacian spread of graphs. Zbl 1245.05089
You, Zhifu; Liu, Bolian
2012
The maximum Wiener polarity index of unicyclic graphs. Zbl 1248.05056
Hou, Huoquan; Liu, Bolian; Huang, Yufei
2012
Bounds on augmented Zagreb index. Zbl 1289.05083
Wang, Dan; Huang, Yufei; Liu, Bolian
2012
A note on the Randić spectral radius. Zbl 1289.05133
Liu, Bolian; Huang, Yufei; Feng, Jingfang
2012
On a conjecture for the sum of Laplacian eigenvalues. Zbl 1255.05118
Wang, Shouzhong; Huang, Yufei; Liu, Bolian
2012
The second Zagreb indices and Wiener polarity indices of trees with given degree sequences. Zbl 1289.05076
Liu, Muhuo; Liu, Bolian
2012
On the spectral moments of unicyclic graphs with fixed diameter. Zbl 1244.05141
Cheng, Bo; Liu, Bolian; Liu, Jianxi
2012
On Harary matrix, Harary index and Harary energy. Zbl 1289.05274
Cui, Zhihui; Liu, Bolian
2012
On sum of powers of the signless Laplacian eigenvalues of graphs. Zbl 1271.05056
Liu, Muhuo; Liu, Bolian
2012
Some results on the majorization theorem of connected graphs. Zbl 1334.05066
Liu, Mu Huo; Liu, Bo Lian
2012
A proof of two conjectures on the Randić index and the average eccentricity. Zbl 1246.05041
Liang, Meili; Liu, Bolian
2012
A method of calculating the edge-Szeged index of hexagonal chain. Zbl 1289.05085
Wang, Shouzhong; Liu, Bolian
2012
Lexicographical ordering by spectral moments of trees with $$k$$ pendant vertices and integer partitions. Zbl 1241.05018
Cheng, Bo; Liu, Bolian
2012
On the Laplacian spectral ratio of connected graphs. Zbl 1248.05116
You, Zhifu; Liu, Bolian
2012
A method to calculate the characteristic polynomials of a graph on $$n$$ vertices by the aid of a computer. Zbl 1289.05303
Liu, Muhuo; Liu, Bolian
2012
Bounds on the Lewin number for primitive non-powerful signed digraphs. Zbl 1274.05201
You, Lihua; Liu, Muhuo; Liu, Bolian
2012
New method and new results on the order of spectral radius. Zbl 1238.05164
Liu, Muhuo; Liu, Bolian
2012
Some results on the spectral radii of trees, unicyclic and bicyclic graphs. Zbl 1253.05097
Liu, Muhuo; Liu, Bolian
2012
The generalized $$\tau$$-bases of primitive non-powerful signed digraphs with $$d$$ loops. Zbl 1256.05093
Huang, Yufei; Liu, Bolian; Chen, Siyuan
2012
Direct influence of residual stress on the bending stiffness of cantilever beams. Zbl 1371.74179
Shi, M. X.; Liu, B.; Zhang, Z. Q.; Zhang, Y. W.; Gao, H. J.
2012
On the nullity of tricyclic graphs. Zbl 1216.05072
Cheng, Bo; Liu, Bolian
2011
A survey on the Laplacian-energy-like invariant. Zbl 1265.05395
Liu, Bolian; Huang, Yufei; You, Zhifu
2011
A survey on comparing Zagreb indices. Zbl 1265.05123
Liu, Bolian; You, Zhifu
2011
Some results on atom-bond connectivity index of graphs. Zbl 1265.05576
Gan, Lu; Hou, Huoquan; Liu, Bolian
2011
On the Wiener polarity index. Zbl 1265.05157
Liu, Muhuo; Liu, Bolian
2011
Graphs determined by their (signless) Laplacian spectra. Zbl 1227.05185
Liu, Muhuo; Liu, Bolian; Wei, Fuyi
2011
The signless Laplacian spectral radius of bicyclic graphs with prescribed degree sequences. Zbl 1222.05130
Huang, Yufei; Liu, Bolian; Liu, Yingluan
2011
A note on sum of powers of the Laplacian eigenvalues of graphs. Zbl 1203.05097
Liu, Muhuo; Liu, Bolian
2011
A proof for a conjecture on the Randić index of graphs with diameter. Zbl 1213.05043
Liu, Jianxi; Liang, Meili; Cheng, Bo; Liu, Bolian
2011
A further result on majorization theorem. Zbl 1222.05115
Jiang, Xiaoyan; Liu, Yingluan; Liu, Bolian
2011
On the upper bounds for the first Zagreb index. Zbl 1265.05119
Ilić, Aleksandar; Ilić, Milovan; Liu, Bolian
2011
Note on the minimal Wiener index of connected graphs with $$n$$ vertices and radius $$r$$. Zbl 1264.05040
You, Zhifu; Liu, Bolian
2011
E-L equienergetic graphs. Zbl 1265.05396
Liu, Jianping; Liu, Bolian
2011
On the spectral radii and the signless Laplacian spectral radii of c-cyclic graphs with fixed maximum degree. Zbl 1226.05138
Liu, Muhuo; Liu, Bolian
2011
Generalized $$r$$-exponents of primitve digraphs. Zbl 1234.05152
Huang, Yufei; Liu, Bolian
2011
On the identities of modulo-$$p$$ partitions. Zbl 1234.05033
Huang, Yufei; Liu, Bolian
2011
Comparing variable Zagreb indices of graphs. Zbl 1265.05156
Liu, Bolian; Zhang, Meng; Huang, Yufei
2011
The signless Laplacian spread. Zbl 1206.05064
Liu, Muhuo; Liu, Bolian
2010
Some properties of the first general Zagreb index. Zbl 1218.05037
Liu, Muhuo; Liu, Bolian
2010
Bounds of the Estrada index of graphs. Zbl 1240.05195
Liu, Jianping; Liu, Bolian
2010
Trees with the seven smallest and fifteen greatest hyper-Wiener indices. Zbl 1224.05310
Liu, Mu-huo; Liu, Bolian
2010
On the variable Wiener indices of trees with given maximum degree. Zbl 1205.05073
Liu, Muhuo; Liu, Bolian
2010
Some results on the Laplacian spectrum. Zbl 1197.05091
Liu, Muhuo; Liu, Bolian
2010
Generalized scrambling indices of a primitive digraph. Zbl 1209.05109
Huang, Yufei; Liu, Bolian
2010
The (signless) Laplacian spectral radius of unicyclic and bicyclic graphs with $$n$$ vertices and $$k$$ pendant vertices. Zbl 1224.05311
Liu, Muhuo; Tan, Xuezhong; Liu, Bolian
2010
On the Wiener polarity index of trees with maximum degree or given number of leaves. Zbl 1205.05072
Liu, Bolian; Hou, Huoquan; Huang, Yufei
2010
The scrambling index of primitive digraphs. Zbl 1201.05042
Liu, Bolian; Huang, Yufei
2010
Complete solution to a conjecture on Randić index. Zbl 1188.90215
Li, Xueliang; Liu, Bolian; Liu, Jianxi
2010
The scrambling index of symmetric primitive matrices. Zbl 1204.15040
Chen, Shexi; Liu, Bolian
2010
On comparing the variable Zagreb indices. Zbl 1289.05066
Huang, Yufei; Liu, Bolian; Zhang, Meng
2010
The minimum Laplacian spread of unicyclic graphs. Zbl 1206.05066
You, Zhifu; Liu, Bolian
2010
Algebraic conditions for $$t$$-tough graphs. Zbl 1224.05307
Liu, Bolian; Chen, Siyuan
2010
Bounds on the $$k$$-th generalized base of a primitive sign pattern matrix. Zbl 1196.15030
Li, Qian; Liu, Bolian; Stuart, Jeffrey
2010
Primitive zero-symmetric sign pattern matrices with the maximum base. Zbl 1193.15029
Cheng, Bo; Liu, Bolian
2010
On a conjecture about the Randić index and diameter. Zbl 1265.05131
Zhang, Meng; Liu, Bolian
2010
Erratum to “The trees on $$n \geq 9$$ vertices with the first to seventeenth greatest wiener indices are chemical trees”. Zbl 1265.05196
Liu, Muhuo; Liu, Bolian; Li, Qian
2010
The spectral radius of bicyclic graphs with prescribed degree sequences. Zbl 1215.05106
Liu, Yingluan; Liu, Bolian
2010
The $$k$$th lower bases of primitive non-powerful signed digraphs. Zbl 1221.05190
Liang, Chaohua; Liu, Bolian; Huang, Yufei
2010
The Abel-type polynomial identities. Zbl 1215.05086
Huang, Fengying; Liu, Bolian
2010
On comparing variable Zagreb indices for unicyclic graphs. Zbl 1289.05088
Zhang, Meng; Liu, Bolian
2010
Study on electroelastic field concentration around the electrode tip in multilayer ferroelectric actuators of two designs and their optimizations. Zbl 1370.74124
Zhao, X. J.; Liu, B.; Fang, D. N.
2010
On the $$k$$th smallest and $$k$$th greatest modified Wiener indices of trees. Zbl 1225.05088
Liu, Muhuo; Liu, Bolian
2010
The index of maximum ambiguous density for irreducible non-powerful sign pattern matrices. Zbl 1181.15038
Huang, Yufei; Liu, Bolian
2010
On a conjecture for fully indecomposable exponent and Hall exponent. Zbl 1201.15014
Huang, Yufei; Liu, Bolian
2010
On the characterization of graphs with pendent vertices and given nullity. Zbl 1189.05102
Liu, Bolian; Huang, Yufei; Chen, Siyuan
2009
On relation between energy and Laplacian energy. Zbl 1224.05308
Liu, Jianping; Liu, Bolian
2009
On a conjecture on Randić indices. Zbl 1247.92066
Liu, Bolian; Gutman, Ivan
2009
The majorization theorem of connected graphs. Zbl 1183.05040
Liu, Muhuo; Liu, Bolian; You, Zhifu
2009
On the spread of the spectrum of a graph. Zbl 1194.05091
Liu, Bolian; Liu, Mu-Huo
2009
Multi-$$g$$ base index of primitive anti-symmetric sign pattern matrices. Zbl 1221.15019
Liang, Yanting; Liu, Bolian; Lai, Hong-Jian
2009
New sharp upper boundes for the first Zagreb index. Zbl 1224.05117
Liu, Muhuo; Liu, Bolian
2009
On hypoenergetic unicyclic and bicyclic graphs. Zbl 1199.05249
You, Zhifu; Liu, Bolian
2009
...and 84 more Documents
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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
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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. The Electronic Journal of Linear Algebra 8 Journal of Mathematical Analysis and Applications 8 Journal of Combinatorial Optimization 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Journal of Applied Mathematics and Computing 8 AKCE International Journal of Graphs and Combinatorics 7 Computers & Mathematics with Applications 7 Applied Mathematics. Series B (English Edition) 7 Electronic Journal of Graph Theory and Applications 6 European Journal of Combinatorics 6 Kragujevac Journal of Mathematics 6 Journal of Applied Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Discrete Dynamics in Nature and Society 5 Journal of Discrete Mathematical Sciences & Cryptography 5 Asian-European Journal of Mathematics 4 Information Sciences 4 Iranian Journal of Mathematical Chemistry 4 Transactions on Combinatorics 4 Journal of Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Mathematical and Computer Modelling 3 Acta Mathematica Sinica. English Series 3 Palestine Journal of Mathematics 3 Korean Journal of Mathematics 3 AIMS Mathematics 3 DML. Discrete Mathematics Letters 2 Bulletin of the Australian Mathematical Society 2 Rocky Mountain Journal of Mathematics 2 Journal of Combinatorial Theory. Series A 2 Journal of Combinatorial Theory. Series B 2 Le Matematiche 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Mathematical Programming. Series A. Series B 2 The Australasian Journal of Combinatorics 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 The Electronic Journal of Combinatorics 2 Discussiones Mathematicae. Graph Theory 2 Applied Mathematics E-Notes 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Proyecciones 2 Advances and Applications in Discrete Mathematics 2 Advances in Mathematical Physics 2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 2 Open Mathematics 2 Communications in Combinatorics and Optimization 1 Information Processing Letters 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Fuzzy Sets and Systems 1 Journal of Computational and Applied Mathematics 1 Journal of Graph Theory 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Theoretical Computer Science 1 Tokyo Journal of Mathematics 1 Order 1 Optimization 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Journal of Algebraic Combinatorics 1 Combinatorics, Probability and Computing 1 Filomat 1 NoDEA. Nonlinear Differential Equations and Applications 1 Opuscula Mathematica 1 Abstract and Applied Analysis 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Integers 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Discrete Algorithms 1 Discrete Optimization 1 Sarajevo Journal of Mathematics 1 Contributions to Discrete Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Computational & Mathematical Methods in Medicine 1 European Journal of Pure and Applied Mathematics 1 Acta Universitatis Sapientiae. Informatica 1 Annales Universitatis Paedagogicae Cracoviensis. 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
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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)