1

On the largest eigenvalue of non-regular graphs

Bolian Liu, Jian Shen, Xinmao Wang
Journal:
Journal of Combinatorial Theory, Series B
Year:
2007
Language:
english
File:
PDF, 133 KB
english, 2007
2

The second Zagreb indices of unicyclic graphs with given degree sequences

Liu, Muhuo, Liu, Bolian
Journal:
Discrete Applied Mathematics
Year:
2014
Language:
english
File:
PDF, 410 KB
english, 2014
4

Generalized exponents of primitive directed graphs

Richard A. Brualdi, Bolian Liu
Journal:
Journal of Graph Theory
Year:
1990
Language:
english
File:
PDF, 655 KB
english, 1990
5

On a conjecture about the generalized exponent of primitive matrices

Bolian Liu, Qiaoliang Li
Journal:
Journal of Graph Theory
Year:
1994
Language:
english
File:
PDF, 122 KB
english, 1994
6

A note on the exponents of primitive (0, 1) matrices

Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
1990
Language:
english
File:
PDF, 313 KB
english, 1990
7

The polytope of even doubly stochastic matrices

Richard A. Brualdi, Bolian Liu
Journal:
Journal of Combinatorial Theory, Series A
Year:
1991
Language:
english
File:
PDF, 473 KB
english, 1991
9

On the nullity of unicyclic graphs

Tan Xuezhong, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2005
Language:
english
File:
PDF, 271 KB
english, 2005
11

New Results on the Common Consequent Index of a Binary Relation

Zhou Bo, Bolian Liu
Journal:
European Journal of Combinatorics
Year:
2000
Language:
english
File:
PDF, 130 KB
english, 2000
12

Some inequalities about connected domination number

Cheng Bo, Bolian Liu
Journal:
Discrete Mathematics
Year:
1996
Language:
english
File:
PDF, 197 KB
english, 1996
13

The th local exponent of doubly symmetric primitive matrices

Shexi Chen, Bolian Liu
Journal:
Applied Mathematics Letters
Year:
2006
Language:
english
File:
PDF, 154 KB
english, 2006
14

On a conjecture about the hypoenergetic trees

Jianping Liu, Bolian Liu
Journal:
Applied Mathematics Letters
Year:
2010
Language:
english
File:
PDF, 308 KB
english, 2010
15

A note on sum of powers of the Laplacian eigenvalues of graphs

Muhuo Liu, Bolian Liu
Journal:
Applied Mathematics Letters
Year:
2011
Language:
english
File:
PDF, 209 KB
english, 2011
16

A proof for a conjecture on the Randić index of graphs with diameter

Jianxi Liu, Meili Liang, Bo Cheng, Bolian Liu
Journal:
Applied Mathematics Letters
Year:
2011
Language:
english
File:
PDF, 240 KB
english, 2011
17

A conjecture about lower multiexponent of primitive matrices

Bolian Liu, Fengying Huang
Journal:
Computers & Mathematics with Applications
Year:
2008
Language:
english
File:
PDF, 304 KB
english, 2008
18

Some results on the Laplacian spectrum

Muhuo Liu, Bolian Liu
Journal:
Computers & Mathematics with Applications
Year:
2010
Language:
english
File:
PDF, 290 KB
english, 2010
19

On a conjecture about the th lower multiexponent

Yufei Huang, Bolian Liu
Journal:
Computers & Mathematics with Applications
Year:
2010
Language:
english
File:
PDF, 289 KB
english, 2010
20

The period and base of a reducible sign pattern matrix

Bolian Liu
Journal:
Discrete Mathematics
Year:
2007
Language:
english
File:
PDF, 159 KB
english, 2007
21

Matrices with maximum kth local exponent in the class of doubly symmetric primitive matrices

Shexi Chen, Bolian Liu
Journal:
Discrete Mathematics
Year:
2008
Language:
english
File:
PDF, 170 KB
english, 2008
22

Bounds on the kth multi-g base index of nearly reducible sign pattern matrices

Qian Li, Bolian Liu
Journal:
Discrete Mathematics
Year:
2008
Language:
english
File:
PDF, 280 KB
english, 2008
23

On an upper bound of the spectral radius of graphs

Bolian Liu
Journal:
Discrete Mathematics
Year:
2008
Language:
english
File:
PDF, 351 KB
english, 2008
24

Spanning cycles in regular matroids without  minors

Hong-Jian Lai, Bolian Liu, Yan Liu, Yehong Shao
Journal:
European Journal of Combinatorics
Year:
2008
Language:
english
File:
PDF, 288 KB
english, 2008
26

r-Indecomposable and r-nearly decomposable matrices

Lihua You, Bolian Liu, Jian Shen
Journal:
Linear Algebra and its Applications
Year:
2005
Language:
english
File:
PDF, 230 KB
english, 2005
27

Bounds on the base of primitive nearly reducible sign pattern matrices

Bolian Liu, Lihua You
Journal:
Linear Algebra and its Applications
Year:
2006
Language:
english
File:
PDF, 304 KB
english, 2006
28

On extremal matrices of second largest exponent by Boolean rank

Bolian Liu, Lihua You, Gexin Yu
Journal:
Linear Algebra and its Applications
Year:
2007
Language:
english
File:
PDF, 162 KB
english, 2007
29

The base sets of primitive zero-symmetric sign pattern matrices

Bo Cheng, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2008
Language:
english
File:
PDF, 240 KB
english, 2008
30

On the nullity of bicyclic graphs

Shengbiao Hu, Tan Xuezhong, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2008
Language:
english
File:
PDF, 139 KB
english, 2008
31

Imprimitive matrices of zeros and ones with extremal numbers of ones

Bo Cheng, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2008
Language:
english
File:
PDF, 121 KB
english, 2008
32

Exponents of a class of two-colored digraphs with two cycles

Fengying Huang, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2008
Language:
english
File:
PDF, 158 KB
english, 2008
33

On the numbers of positive entries of reducible nonnegative matrices

Bo Cheng, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2009
Language:
english
File:
PDF, 135 KB
english, 2009
34

The majorization theorem of connected graphs

Muhuo Liu, Bolian Liu, Zhifu You
Journal:
Linear Algebra and its Applications
Year:
2009
Language:
english
File:
PDF, 123 KB
english, 2009
35

The signless Laplacian spread

Muhuo Liu, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2010
Language:
english
File:
PDF, 174 KB
english, 2010
36

The minimum Laplacian spread of unicyclic graphs

Zhifu You, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2010
Language:
english
File:
PDF, 115 KB
english, 2010
37

The kth lower bases of primitive non-powerful signed digraphs

Chaohua Liang, Bolian Liu, Yufei Huang
Journal:
Linear Algebra and its Applications
Year:
2010
Language:
english
File:
PDF, 181 KB
english, 2010
38

The scrambling index of symmetric primitive matrices

Shexi Chen, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2010
Language:
english
File:
PDF, 328 KB
english, 2010
39

Primitive zero-symmetric sign pattern matrices with the maximum base

Bo Cheng, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2010
Language:
english
File:
PDF, 330 KB
english, 2010
40

The spectral radius of bicyclic graphs with prescribed degree sequences

Yingluan Liu, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2010
Language:
english
File:
PDF, 252 KB
english, 2010
41

Generalized scrambling indices of a primitive digraph

Yufei Huang, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2010
Language:
english
File:
PDF, 206 KB
english, 2010
42

On the nullity of tricyclic graphs

Bo Cheng, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2011
Language:
english
File:
PDF, 457 KB
english, 2011
43

On the variable Wiener indices of trees with given maximum degree

Muhuo Liu, Bolian Liu
Journal:
Mathematical and Computer Modelling
Year:
2010
Language:
english
File:
PDF, 509 KB
english, 2010
44

Some results on integral sum graphs

Wang Yan, Bolian Liu
Journal:
Discrete Mathematics
Year:
2001
Language:
english
File:
PDF, 123 KB
english, 2001
45

The sum number and integral sum number of complete bipartite graphs

Yan Wang, Bolian Liu
Journal:
Discrete Mathematics
Year:
2001
Language:
english
File:
PDF, 165 KB
english, 2001
46

On the third largest eigenvalue of a graph

Bolian Liu, Zhou Bo
Journal:
Linear Algebra and its Applications
Year:
2000
Language:
english
File:
PDF, 73 KB
english, 2000
47

On a conjecture of Lewin's problem

BoLian Liu, Wen Jiang
Journal:
Linear Algebra and its Applications
Year:
2001
Language:
english
File:
PDF, 60 KB
english, 2001
48

Generalized exponents of boolean matrices

Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
2003
Language:
english
File:
PDF, 123 KB
english, 2003
49

Matrices of zeros and ones with the maximum jump number

Bo Cheng, Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
1998
Language:
english
File:
PDF, 482 KB
english, 1998
50

On exponent of indecomposability for primitive Boolean matrices

Bolian Liu
Journal:
Linear Algebra and its Applications
Year:
1999
Language:
english
File:
PDF, 92 KB
english, 1999