Hong-Jian Lai


PUBLICATION (Books):

1.       Matrices in Combinatorics and Graph Theory, (with Bolian Liu), Kluwer Academic Publishers, Vol. 3 of Network Theory and Applications, (2000),  (ISBN: 0-7923-6469-4).

2.       Matroid Theory (in Chinese), Chinese Higher Education Press, (2002), (ISBN: 7-04-010563

3.       Probability and Statistics, (with Z. F. Hao et al.), Chinese Higher Education Press, (2008), (ISBN: 978-7-04-023605-7)

Applications of Mathematics:

1

Energy Management System with Automatic Reconfiguration for Electric Shipboard Power Systems,  (with Shilpa B. Ganesh, Karl Schoder, Amer Al-Hinai, Ali Feliachi), Proceedings, Reconfiguration and Survivability Symposium 2005, Atlantic Beach, FL. Feb 16-18, 2005.

2

Distributed Control Agents Approach to Energy Management In Electric Shipboard Power Systems, (with Ali Feliachi, Karl Schoder and Shilpa B. Ganesh), IEEE PES General Meeting, June 18-22, 2006, Montral, Canada.

3

Distributed Approaches for Determination of Reconfiguration Algorithm Termination, (with Pinak Tulpule, Karl Schoder, Ali Feliachi),  Proceedings of the Electric Ship Technologies Symposium (ESTS) 2007, Arlington, VA, May 21-23, 2007.

4

Age distribution and risk factors for the onset of severe disability among community-dwelling older adults with functional limitations, (with Y. Wu,  H. Huang, B Wu, and S. McCrone), The Journal of Applied Gerontology, 26 (2007) 258-273.

5

Health Behavior and Transition of Physical Disability Among Community Dwelling Older Edults, (Part1, 2, 3, 4)  (with Y. Wu and S. McCrone), Research on Aging, 30 (2008) 572-591.

6

Intelligent Reconfiguration of Smart Distribution Network using Multi-Agent Technology, (Invited Panel Paper), (with Sridhar Chouhan, Hui Wan, Ali Feliachi and M. A. Choudhry), IEEE Power Engineering Society General Meeting, Calgary, Canada, July 2009.

7

Application of Multi-Agents to Fault Detection and Power Distribution Systems Reconfiguration, (with K. Nareshkumar, M. A. Choudhry and A. Feliachi), IEEE Power Engineering Society General Meeting, Calgary, Canada, July 2009.

8

Emergency of Specialization in a Swarm or Robot, (with Adam Halasz, Yanting Liang, M. Ani Hsieh),  Distributed Autonomous Robot Systems, (Martinoli et al eds. ), Springer Tracts in Advanced Robots, 83 (2012) 403-416.

 

PUBLICATIONS (Research Papers):

1987-1990

1

Unique graph homomorphisms onto odd cycles, Utilitas Mathematica 31(1987), 199-208. (88e:05041).

2

On the hamiltonian index, Disc. Math. 69 (1988) 43-53. (89f:05113).

3

Contractions and hamiltonian line graphs, J. Graph Theory 12 (1988) 11-15. (89f:05114).

4

Unique graph homomorphisms onto odd cycles, II, J. of Combinatorial Theory, Series B, 46 (1989) 363-376. (90c:05088)

5

Reduced graphs of diameter two, J. Graph Theory, 14 (1990) 77 – 87. (91b:05157).

6

The size of strength-maximal graphs, J. Graph Theory, 14 (1990) 187 – 197. (91f:05075).

7

Eulerian subgraphs in graphs with short cycles, (with Paul A. Catlin) Ars Combinatoria, 30 (1990), 177 – 191. (91j:05070).

 

 

1991-1995

8

Eulerian subgraphs in a class of graphs, Ars Combinatoria, 31 (1991) 302 - 311. (92d:05095).

9

Cycle covers in graphs without subdivisions of K_4, (with H. Y. Lai) J. of Comb. Math and Comb. Computing, 9 (1991), 201-207. (92d:05126).

10

A note on uniformly dense matroids, (with H. Y. Lai) Utilitas Mathematica, 40 (1991) 251-256. (92h:05029).

11

Cycle covering of plane triangulations, (with H. Y. Lai) J. of Comb. Math. and Comb. Computing, 10 (1991) 3-21. (92i:05160).

12

Graphs whose edges are in small cycles, Disc. Math., 94 (1991) 11 – 22. (92j:05111).

13

Small cycle covers of planar graphs, (with H. Y. Lai) Congressus Numerantium, 85 (1991) 203-209. (93c:05046).

14

Spanning trails joining two given edges, (with Paul A. Catlin) in ``Graph Theory, Combinatorics, and Applications'' (vol. 1), eds by Y. Alavi, G. Chartrand, O. Oellermann and A. Schwenk, Kalamazoo, (1991), 207 – 222.

15

Graphs of diameter at most two, Ars Combinatoria, (1992) 331-343. (93m:05100)

16

Nowhere-zero 3-flows of highly connected graphs, (with C. Q. Zhang) Discrete Math, 110 (1992) 179-183. (93m:05105).

17

Uniformly dense generalized prisms over graphs, (with Hobbs, H. Y. Lai and G. Weng) Congressus Numerantium 91 (1992) 99 - 105.

18

Duality of graph families, (with H. Y. Lai) Discrete Math. 110 (1992) 165-177.

19

Supereulerian complementary graphs, J. Graph Theory, 17 (1993) 263-273. (94a:05137).

20

Fractional arboricity, strength and principal partitions in graphs and matroids, (with P. A. Catlin, J. W. Grossman, A. M. Hobbs) Discrete Appl. Math. 40 (1992) 285-302. (94g:05070).

21

Graph without K_4-minors, (with H. Y. Lai) Ars Combinatoria, 36 (1993) 327-334. (94i:05078).

22

Edge-maximal (k,l)-graphs, (with C. Q. Zhang) J. Graph Theory, 18 (1994) 227 - 240. (95g:05065)

23

Collapsible graphs and Matchings, (with Z. H. Chen) J. Graph Theory, 17 (1993) 597-605.

24

Nowhere-zero flows in some regular graphs, (with Z. H. Chen, H.Y. Lai, G. Weng) Congressus Numerantium, 97 (1993) 205-208.

25

Small circuit double covers of cubic multigraphs, (with X. X. Yu and C. Q. Zhang) J. Combin. Theory (B), 60 (1994) 177 - 194. (95b:05122).

26

Jackson's conjecture on eulerian subgraphs, (with Z. H. Chen, H. Y. Lai, G. Weng), Combinatorics, Graph Theory, Algorithms and Applications, (eds. by Y. Alavi et al), 53-58, World Scientific, River Edge, NJ (1994). (95k:05111).

27

Hamiltonian connected line graphs, (with C. Q. Zhang) Ars Combinatoria, 38 (1994) 193 - 202. (96b:05099)

28

Cycles in line graphs, (with Z. H. Chen) Congressus Numerantium, 105 (1994) 129 - 133, (97a:05130).

29

Every 4-connected line graph of a planar graph is hamiltonian, Graphs and Combinatorics, 10 (1994) 249 - 253. (95i:05084).

30

Large survivable nets and the generalized prisms, Discrete Appl. Math., 61 (1995) 181-185. (96e:05141).

31

The size of graphs with given inclusive connectivity, Ars Combinatoria, 41 (1995) 225-239. (96e:05142).

32

Strength and fractional arboricity of complementary graphs, (with G. Weng) Discrete Math., 143 (1995) 141-151. (96f:05104).

33

Vertex arboricity and maximum degree, (with P. A. Catlin) Discrete Math., 141 (1995) 37-46. (96i:05045).

34

The size of graphs without nowhere-zero 4-flows, J. Graph Theory, 19 (1995) 385-395. (96k:05119).

35

Supereulerian graphs and excluded induced minors, Discrete Math., 146 (1995) 133-143. (96k:05124).

36

Every matroid is a submatroid of a uniformly dense matroid, Discrete Appl. Math., 63 (1995) 151-160. (97a:05050).

37

Reduction techniques for super-Eulerian graphs and related topics-a survey, (with Z. H. Chen), Combinatorics and graph theory’95, Vol. 1 (Hefei), 53-69, World Sci. Publishing, River Edge, NJ, 1995. (98h:05126).

 

1996-2000

38

A note on the strong 2-cover conjecture for graphs without K_5-minors, (with H. Y. Lai), J. Combin. Math. and Combin. Computing, 20 (1996) 242-244.

39

Supereulerian graphs and the Petersen graph, (with Catlin), J. Combinatorial Theory, Ser B, 66 (1996) 123-139. (97a:05144).

40

A property on Edge-disjoint spanning trees (with H.Y. Lai and Payan), Europ. J. Combinatorics, 17 (1996) 447-450. (97d:05064).

41

Reduction towards collapsibility, Graph Theory, Combinatorics, and Algorithms, eds. Y. Alavi and A. Schwenk, John Wiley and Sons, New York, (1995), 661-670 . (97f:05187).

42

A note on mod (2p+1)-orientatable graphs, J. Combin. Math. Combin. Computing, 22 (1996) 223-224. (97i:05053).  

43

Graphs without spanning eulerian subgraphs, (with P. A. Catlin and Z. Han), Discrete Math., 160 (1996) 81-91. (97m:05166).

44

Cycle covers of planar graphs, Congressus Numerantium, 122 (1996) 33-46. (97k:05126).

45

The higher-order edge toughness of a graph and truncated uniformly dense matroids, (with Z. H. Chen), J. Combin. Math. Combin. Computing, 22 (1996) 157-160. (97i:05063).

46

Generalized matroid packing and covering, (with Z.-H. Chen and Y. Kuang) Congressus Numerantium, 127 (1997) 155-160. (98j:05045).

47

Eulerian subgraphs containing given vertices and hamiltonian line graphs, Discrete Math., 178 (1998) 93-107. (99d:05094).

48

Supereulerian graph and the Petersen graph, II, (with Z.-H. Chen), Ars Combinatoria, 48 (1998) 271-282. (99c:05123).

49

Group coloring and group connectivity of graphs, (with Chen, Lei and Zhang), Congressus Numerantium, 134 (1998), 123-130. (99j:05068).

50

The strength and the l-edge-conenctivity, (with K. Hennayake and X. Lei), Bull. of ICA, 26 (1999), 58-70. (99m:05092).

51

Even subgraphs of a graph, (with Z. H. Chen), Combinatorics, graph theory, and algorithms, Vol. I, II (Kalamazoo, MI, 1996), 221--226, New Issues Press, Kalamazoo, MI, 1999. MR1985055.

52

Extending a partial nowhere zero 4-flow, J. Graph Theory, 30 (1999), 277-288. (2000c:05077)

53

Edge integrity maximal graphs, (with X. K. Zhang), J. Combin. Math. Combin. Comput. 30 (1999) 237-250. (2000d:05063).

54

Connectivity in cycle matroid and bicircular matroids, (with Chen and Kuang), Ars Combinatoria, 52 (1999), 239-290. (2001d:05032).

55

Graph homomorphisms into the odd cycle, (with B. Liu), Bulletin of the Inst. of Combin. and Appl., 28 (2000), 19-24. (2000i:05106).

56

Group connectivity of 3-edge-connectied chordal graphs, Graphs and Combinatorics, 16 (2000), 165-176. (2001f:05074).

 

 

2001

58

Eulerian subgraph containing given edges, Discrete Math, 230 (2001), 61-69. (2001k:05135).

59

Nowhere zero flows in line graphs, (with Chen and H. Y. Lai), Discrete Mathematics, 230 (2001), 133-141. (2001k:05193).

60

Extremal size of graphs without a nowhere zero 3 flow, (with Lei Xu) Bulletin of the Inst. of Combin. and Appl., 32 (2001), 90-95. ((2002a:05146).

61

Graph families operations, (with Catlin and Hobbs), Discrete Math, 230 (2001), 71-97. (2002b:05124).

62

Line graphs and forbidden induced subgraphs (with Soltes) J. Combinatorial Theory, Ser. B, 82 (2001) 38-55. (2002d:05104).

63

Hamilton weights and Petersen minors, (with C. Q. Zhang), J. Graph Theory, 38 (2001),  197-219. (2002g:05120).

 

2002

64

Group colorability of graphs,  (with X. Zhang), Ars Combinatoria, 62 (2002), 299-317. MR1881968

65

Group chromatic number of graphs without K_5-minors, (with X. Zhang) Graphs and Combinatorics, 18 (2002), 147-154. (2002m:05089). MR1892440

66

Cycle cover ratio of regular matroids, (with H. Poon), Europ. J. Combinatorics, 23 (2002), 1007-1014.  MR1938354

 

2003

67

Nowhere zero 3-flows in locally connected graphs,  J. Graph Theory, 42 (2003),   211-219. MR1958145

68

Eulerian subgraph in 3-edge-connected graphs and hamiltonian line graphs, (with Zhihong Chen, Xiangwen Li, Deying Li and Jingzhong Mao) J. Graph Theory, 42 (2003),   308-319. MR1963103

69

Small cycle cover of 2-connected cubic graphs, (with X. Li), Discrete Math., 269 (2003),   295-302.  MR1989470

70

Upper bound of dynamic chromatic number, (with B. Montgomery and H. Poon), Ars Combinatoria, 68 (2003), 193--201.  MR1991048(2004e:05077)

71

Minimally (k,k)-edge-connected graphs, (with K. Hennayake, Deying Li and Jingzhong Mao), J. Graph Theory, 44 (2003), 116-131. MR2003516


2004

72

Global asymptotic stability in a rational recursive sequence, (with Yang, Xiaofan; Evans, David J.; Megson, Graham M.) Appl. Math. Comput. 158 (2004), no. 3, 703--716. MR2095697

73

Generalized honeycomb torus is Hamiltonian, (with Yang, Xiaofan; Evans, David J.; Megson, Graham M.) Inform. Process. Lett. 92 (2004), no. 1, 31--37. MR2085619

74

On the maximal connected component of hypercube with faulty vertices, (with Xiaofan Yang, David J. Evans, Bill Chen, Graham M. Megson), Int. J. Comput. Math. 81(5): 515-525 (2004). MR2170899

 

2005

75

Eulerian subgraphs and hamiltonian connected line graphs, (with Li and Zhan), Discrete Applied Math 145 (2005) 422-428. MR2112533 

76

Hamiltonian N_2-locally Connected Claw-Free Graphs, (with Shao and Zhan), J. Graph Theory, 48 (2005), 142-146.  MR2110584

77

Supereulerian planar graphs, (with Deying Li, Jingzhong Mao and Mingquan Zhan), Ars Combinatoria, 75  (2005) 313-331.  MR2133231 

78

Nowhere zero 4-flow in regular matroids, (with X. Li and H. Poon), J. Graph Theory, 49 (2005) 196-204.  MR2145508

79

Spanning trails connecting given edges, (with Li, Ou and Poon), Graphs and Combinatorics, 21 (2005) 77-88.  MR2136711

80

Group Chromatic number of graph, (with X. Li), Graphs and Combinatorics, 21 (2005) 469-474. MR2209176

 

2006

81

Group connectivity of graphs with diameter at most 2, (with X. J. Yao), European J. Combin., 27 (2006) 436-447. MR2206478

82

Group Chromatic number of planar graphs with girth at east 4, (with X. Li), J. Graph Theory, 52 (2006) 51-72.  MR2214441 

83

Hamiltonicity in 3-connected Claw-Free Graphs, (with Yehong Shao and Mingquan Zhan), J. of Combinatorial Theory, Series B. 96 (2006) 571-576.  MR2232387

84

Every 3-connected, essentially 11-connected claw-free graph is hamiltonian, (with Y. Shao, H. Wu, and J. Zhou), J. of Combinatorial Theory, Series B. 96 (2006) 493-504. MR2232392

85

Conditional Colorings of Graphs, (with S. Fan, J. Lin, B. Montgomery, and Z. Tao), Discrete Math, 306 (2006) 1997-2004. MR2251583 

86

Collapsible biclaw-free graphs, (with X. J. Yao), Discrete Math, 306 (2006) 2115-2117. MR2251832

87

Erratum: Collapsible Biclaw-free Graphs, (with X. J. Yao), Discrete Math, 307 (2007) 1217. MR2292551

88

Spanning eulerian subgraphs in claw-free graphs, (with Chen, Luo and Shao),  J. Combinatorial Theory and Combinatorial Computing 59 (2006) 165--171.  MR2277347

 

2007

89

New sufficient condition for hamiltonian graphs, (with Y. Shao and K. Zhao), Applied Math Letters,  20 (2007) 116-122. MR2273619

90

Quadrangularly connected claw-free graphs, (with M. Li, C. Guo, L. Xiong, D. Li), Discrete Math. 307 (2007) 1205-1211. MR2292549

91

Problems related to hamiltonian line graphs, (with Yehong Shao), AMS/IP Studies in Advanced Mathematics, 39 (2007), 149-159. MR2338624

92

On circular flows of graphs, (with R. Xu and C. Q. Zhang), Combinatorica, 27 (2007) 245-246. MR2321927

93

An inequality for the group chromatic number of a graph, (with X. Li and G. Yu), Discrete Math., 307 (2007) 3076-3080. MR2371080

94

Mod $(2p+1)$-orientations and $K_{1, 2p+1}$-decompositions, SIAM J. of Discrete Math., 21 (2007) 844-850. MR2373336

95

An $s$-Hamiltonian Line Graph Problem(with Z. H. Chen, D. Y. Li and W. Shiu), Graphs and Combinatoircs, 23 (2007), 241-248. MR2320578

 

2008

96

Spanning cycles in regular matroids without $M^*(K_5)$ minors, (with B. Liu, Y. Liu and Y. Shao), European J. Combinatorics, 29 (2008), no. 1, 298-310. MR2368637

97

On group connectivity of graphs, (with R. Xu and J. Zhou), Graphs and Combinatorics, 24  (2008) 1-9. MR2410940

98

Hamiltonian connected hourglass free line graphs, (with D. X.  Li, Y, H, Shao and M. Q. Zhan), Discrete Math., 308 (2008) 2634-2636. MR2410474

99

Hamiltonian connected graphs, (with K. W. Zhan and Ju Zhou), Computers and Mathematics with Applications, 55 (2008) 2707-2714. MR2401423 

100

New Sufficient Conditions for s-Hamiltonian Graphs and s-Hamiltonian Connected Graphs, (with J. Yan, K. Zhao, and J. Zhou), Ars Combinatoria, 88 (2008), 217-227. MR2426418

101

Group connectivity of certain graphs, (with J. Chen, E. Eschen), Ars Combinatoria, 89 (2008) 141-158. MR2456240

102

On s-hamiltonian-connected line graphs, (with Liang and Shao), Discrete Math., 308 (2008) 4293-4297. MR2438182

103

Every 4-connected line graph of a quasi claw-free graph is Hamiltonian connected, (with Shao, and Zhan), Discrete Math., 308 (2008) 5312-5316. MR2450468

104

Nowhere zero 3-flows in triangularly connected graphs, (with G. Fan, R. Xu, C. Q. Zhang, and Q. Zhou), J. of Combinatorial Theory, Series B., 98 (2008) 1325-1336. MR2462322

105

Degree Sequence and Supereulerian Graphs, (with Suohai Fan, Yehong Shao, Taoye Zhang and Ju Zhou), Discrete Math., 308 (2008) 6626-6631. MR2466970

106

A lower bound of the l-edge-connectivity and optimal graphs, (with Lili Zhang, Kamal Hennayake, and Yehong Shao), J. of Combinatorial Mathematics and Combinatorial Computing, 66 (2008) 79-95. MR2436193

107

The $s$-Hamiltonian Index, (with Elaine Eschen, Yehong Shao, and Lili Zhang), Discrete Math., 308 (2008) 4779-4785. MR2438182

 

2009

108

Random walks for selected boolean implication and equivalence problems, (with K. Subramani, X. F. Gu), Acta Inform., 46 (2009), 155-168. MR2491032

109

Edge-connectivity and edge-disjoint spanning trees, (with Catlin and Y. Shao), Discrete Math., 309 (2009), 1033-1040. MR2493521

110

The supereulerian graphs in the graph family C(l, k), (with X. M. Li and D. X. Li), Discret. Math., 309 (2009), 2937-2942. MR2523805

111

Hamilton-Connected Indices of Graphs, (with Z. H. Chen, Liming Xiong, Huiya Yan and Mingquan Zhan), Discrete Math., 309 (2009), 4819-4827. MR2533144

112

Transforming a graph into a 1-balanced graph, (with L. Kannan,  A. M. Hobbs, and H. Y.  Lai), Discrete Applied Math., 157 (2009), 300-308. MR2479804

113

Every line graph of a 4-edge-connected graph is ${\bf Z}_3$-connected, (with Lianying Miao and Yehong Shao),  European J. Combinatorics, 30 (2009), 595-601. MR2489253 

114

Improved Algorithms for Detecting Negative Cost Cycles in Undirected Graphs, (with Xianfeng Gu, Kamesh, Madduri, K. Subramani), Lecture Notes in Computer Science, June 2009, 5598 (2009), 40-50 

115

On mod $(2p+1)$-orientations of graphs, (with Y. H. Shao, H. Wu and J. Zhou), J. of Combinatorial Theory, Series B.,  99 (2009), 399-406.  MR2482957

116

Hamiltonian connectedness in 3-connected line graphs, (with Yehong Shao, Gexin Yu and Mingquan Zhan), Discrete Applied Math.  157 (2009) 982-990. MR2500716

117

Reinforcing the number of disjoint spanning trees, (with Z. H. Chen), Ars Combinatoria, 93 (2009), 113-127.  MR2566744

118

Multi-$g$ base index of primitive anti-symmetric sign pattern matrices (with Yanting Liang and Bolian Liu) Linear and Multilinear Algebra,  57 (2009), 535-546.  MR2543715

 

 

 

2010

119

On (s,t)-Supereulerian in locally highly connected graphs, (with L. Lei, X. Li, B. Wang), Discrete Math., 310 (2010) 929-934   MR2574844

120

Degree Conditions for Group Connectivity, (with X. J. Yao, X. Li ), Discrete Math., 310 (2010), 1050-1058.  MR2575822

121

Spanning eulerian subgraphs in $N^2$-locally connected claw-free graphs, (with Li, Shao and Xiong), Ars Combinatoria, 94 (2010), 191-199.  MR2599731

122

The Chv΄atal-Erd¨os condition for supereulerian graphs and the Hamiltonian index, (with L. Han, L. Xiong, H. Yan), Discrete Math, 310 (2010) 2082-2090.  MR2651805

123

Genus distribution for a graph, (with L. Wan and Y. Liu), Int. J. Math. Comb, 4 (2009) 99-109 (2010).  MR2598677

124

Balanced and 1-balanced Graph Constructions, (with A. Hobbs, L. Kannan, H. Y. Lai, G. Weng), Discrete Applied Math., 158 (2010) 1511-1523. MR2659166

125

On 3-edge-connected supereulerian graphs in graph family C(l; k), (with X. M. Li and D. X. Li), Discrete Math., 310 (2010) 2455-2459. MR2659202

126

Regular matroids without disjoint circuits, (with Suohai Fan, Yehong Shao, Hehui Wu and Ju Zhou), Ars Combinatoria, 97A (2010) 153-159. MR2683742

127

Reinforcing a matroid to have $k$ disjoint bases, (with P. Li, Y. T. Liang, and J. Xu), Applied Mathematics, 1 (2010), 244-249.  

128

Every 3-connected claw-free $Z_8$-free graph is Hamiltonian, (with Liming Xiong, Huiya Yan and Jing Yan), J. of Graph Theory, 664 (2010), 1-11. MR2656745

129

Group Connectivity in Products of Graphs, (with Jin Yan, S. M. Yao and X. F. Gu), International Journal of Algebra, 4 (2010) 1185-1200.  MR2746248

130

$Z_3$-connectivity in graphs satisfying degree sum condition, (with X. Zhang, M. Zhan, R. Xu, Y. H. Shao, X. Li), Discrete Math., 310 (2010), 3390-3397. MR2721099

 

 

 

 

2011

131

Group Connectivity and Group Colorings of Graphs--A survey, (with X. Li , Y. H. Shao and M. Zhan), Acta Mathematica Sinica, English Series, 27 (2011) 405-434.  MR2770816

132

Supereulerian graphs and matchings, (with Huiya Yan), Applied Math Letter, 24 (2011) 1867–1869.  MR2812228

133

Supereulerian Graphs in the Graph Family $C_2(6,k)$, (with Yanting Liang), Discrete Applied Math, 159  (2011),  467-477.  MR2765436

134

Degree sequences and graphs with disjoint spanning trees, (with Yanting Liang, Ping Li and Jinquan Xu), Discrete Applied Math., 159 (2011) 1447-145.  MR2823904

135

Obstructions to a  binary matroid being graphic, (with Manoel Lemos, Talmage James Reid, Yehong Shao, Haidong Wu), European Journal of Combinatorics 32 (2011) 853–860.  MR2821556

136

Group Connectivity in Line Graphs, (with Hao Li, Ping Li, Yanting Liang and Senmei Yao), Discrete Mathematics 311 (2011) 2295–2307.  MR2825676

137

The Maximum Size of an Edge Cut and Graph Homomorphisms. (with Suohai Fan and Ju Zhou), Applied Mathematics, 2 (2011), 1263-1269. MR2924999

138

Characterization of Minimally $(2,l)$-Connected Graphs, (with Xiaofeng Gu and Senmei Yao), Information Processing Letters 111 (2011) 1124–1129.  MR2893946

139

Every $N_2$-locally connected claw-free graph with minimum degree at least 7 is $Z_3$-connected, (with Ye Chen, Ping Li and Erling Wei), Discrete Mathematics, Algorithms and Applications, 3 (2011), 193-201. MR2822284

140

Mod $(2p+1)$-orientations in line graphs, (with Hao Li, Ping Li, Yanting Liang, and Senmei Yao), Information Processing Letters, 111 (2011) 1085–1088. MR2893937

 

 

 

 

2012

141

$Z_3$-connectivity of 4-edge-connected 2-triangular graphs, (with Xinming Hou, Mingquan Zhan, Taoye Zhang, Ju Zhou), European Journal of Combinatorics, 33 (2012), 182–188. MR2854639

142

Multigraphic degree sequences and supereulerian graphs, disjoint spanning tree, (with Xiaofeng Gu and Yanting Liang), Applied Math. Letter, 25 (2012) 1426–1429. MR2947420

143

On 3-connected Hamiltonian Line Graphs, (with Ye Chen and Suohai Fan), Discrete Math., 312 (2012) 1877–1882. MR2913080

144

On Dynamic Coloring for Planar Graphs and Graphs of Higher Genus, (with Ye Chen, Suohai Fan, Lei Sun and Huimin Song), Discrete Applied Math., 160 (2012) 1064–1071.  MR2901126

145

A dual version of the Brooks group coloring theorem, (with Deying Li, Suohai Fan, and Senmei Yao), Discrete Math., 312 (2012) 2294–2303.  MR2926102

146

Spanning Cycles in Regular Matroids Without Small Cocircuits, (with Ping Li, Yehong Shao and Mingquan Zhan), European Journal of Combinatorics 33 (2012) 1765–1776. MR2950479

147

Characterization of removable elements with respect to having $k$ disjoint bases in a matroid. (with Ping Li and Yanting Liang), Discrete Applied Math. 160 (2012) 2445-2451.   MR2957953

148

Spanning subgraph with Eulerian components, (with Zhaohong Niu, Liming Xiong), Discrete Mathematics 312 (2012) 1013–1018. MR2872943

149

Collapsible graphs and Hamiltonian connectedness of line graphs, (with Weihua Yang, Hao Li, Xiaofeng Guo), Discrete Applied Math., 160 (2012) 1837-1844. MR2921804

150

Connectivity and Diameter of Second Order Circuit Graphs of Matroids, (with Ping Li), Graphs and Combinatorics, (2012) 28:737–742  MR2964786

151

Degree condition and Z3-connectivity, (with Xiangwen Li and Yehong Shao), Discrete Math., 312 (2012) 1658–1669. MR2901162

152

Hamiltonian graphs involving neighborhood conditions, (with Lili Zhang, Yehong  Shao and Kewen Zhao), Ars Combinatoria, 105 (2012) 161-170..

153

Spanning Eulerian Subgraphs in Generalized Prisms, (with Xiaomin Li, Dengxin Li), Ars Combinatoria, 106 (2012) 305-312.  MR2977205

154

Group Connectivity of Complementary Graphs, (with Xinmin Hou, Ping Li, and C. Q. Zhang), J. Graph Theory, 69 (2012), 464-470. MR3087035

155

Hamiltonicity of 3-connected line graph, (with Weihua Yang, Liming Xiong and Xiaofeng Guo), Applied Math. Letters, 25 (2012), 1835-1838. MR2957763

 

2013

156

Group Colorability of Multigraphs, (with Hao Li), Discrete Math., 313 (2013), 101-104. MR3016976

157

Non-separating subgraphs, (with Yanmei Hong), Discrete Math. 313 (2013) 391-396.  MR3004473

158

Hamilton cycles in 3-connected claw-free and net-free graphs, (with Wei Xiong, Xiaoling Ma, Keke Wang and Meng Zhang), Discrete Math., 313 (2013), 784-795.  MR3010742

159

Note on the spectral characterization of some cubic graphs with maximum number of triangles. (with Fenjin Liu, Qiongxiang Huang), Linear Algebra and its Applications, 438 (2013) 13973-1397.  MR2997819

160

Realizing degree sequences with $k$-edge-connected uniform hypergraphs, (with Xiaofeng Gu), Discrete Math, 313 (2013) 1394-1400. MR3061124

161

On group choosability of total graphs, (with G.R. Omidi, G. Raeisi), Graphs and Combinatorics, 29 (2013), 585–597. MR3053603

162

An Update on Supereulerian Graphs, (with Yehong Shao and Huiya Yan), WSEAS Transactions on Mathematics 12 (2013) 926-940.

163

On Spanning Disjoint Paths in Line Graphs, (with Ye Chen, Zhi-Hong Chen, Ping Li and Erling Wei), Graphs and Combinatorics, 29 (2013) 1721–1731. MR3119934

164

Analytical Solution of Steady State Equations for Chemical Reaction Networks with Bilinear Rate Laws, (with Adam Halasz, Meghan M. McCabe,  Krishnan Radhakrishnan,  Jeremy S. Edwards), IEEE/ACM Transactions on Computational Biology and Bioinformatics, Vol. 10 (2013), 957-969.

165

On $s$-hamiltonian line graphs, (with Yehong Shao), J. Graph Theory, 74 (2013) 344-358. MR3105554

 

 

2014

166

On $r$-hued Coloring of $K_4$-minor Free Graphs, (with Y. Chen, H. Song and L. Sun), Discrete Math., 315–316 (2014) 47–52. MR3130354

167

On extremal k-supereulerian graphs, (with Zhaohong Niu, Liang Sun, Liming Xiong and Huiya Yan), Discrete Math, 314 (2014) 50-60. MR3117446

168

Bounds of eigenvalues of a nontrivial bipartite graph, (with Bolian Liu and Ju Zhou), Ars Combinatoria, CXIII, (2014), 341-351. MR3186477

169

Spanning trails in essentially 4-edge-connected graphs, (with Z. H. Chen, J. Xu and M. Zhang), Discrete Applied Math., 162 (2014) 306–313. MR3128533

170

Spanning 3-connected index of graphs, (with Wei Xiong and Zhao Zhang), Journal of Combinatorial Optimizations, 27 (2014), 199–208. MR3149114

171

Edge-disjoint spanning trees and eigenvalues, (with Qinghai Liu and Yanmei Hong), Linear Algebra and Its Applications, 444 (2014), 146-151. MR3145835

172

Supereulerian Graphs and the Petersen Graph, (with Xiaoming Li, Lan Lei and Meng Zhang), Acta Mathematica Sinica, English Series, 30 (2014), 291-304.  MR3150240

173

Collapsible Graphs and Hamiltonicity of Line Graphs. (with Yang, Weihua; Li, Hao; Guo, Xiaofeng), Graphs Combin. 30 (2014) 501–510. MR3167025

174

On group choosability of graphs, II, (with H. Chang, G.R. Omidi, Keke Wang, N. Zakeri), Graphs and Combinatorics, 30 (2014) 549-563. MR3195796

175

Supereulerian Digraphs, (with Yanmei Hong, Qinghai Liu), Discrete Mathematics, 330 (2014) 87-95. MR3215458

176

On Strongly $Z_{2s+1}$-connected Graphs, (with Yanting Liang, Juan Liu, Jixiang Meng, Yehong Shao, Zhao Zhang), Discrete Applied Math., 174 (2014) 73-80. MR3215458

177

Cyclic base orderings in some classes of graphs, (with Xiaofeng Gu and Katie Horacek), J. Combinatorial Theory and Combinatorial Computing, 88 (2014), 39–50. 05C05. MR3202335.

178

On the existence of super edge-connected graphs with prescribed degrees, (with Tian, Yingzhi; Meng, Jixiang; Zhang, Zhao), Discrete Math. 328 (2014), 36–41. MR3199814

179

Realizing degree sequences as Z3-connected graphs, (with Fan Yang and  Xiangwen Li), Discrete Math. 333 (2014), 110-119. MR3233413

180

Note on edge-disjoint spanning trees and eigenvalues, (with Qinghai Liu, Yanmei Hong, Xiaofeng Gu), Linear Algebra and Its Applications, 458 (2014), 128-133. MR3231810

181

Supereulerian graphs with small matching number and 2-connected hamiltonian claw-free graphs, (with Ping Li, Z. Miao, Keke Wang, J. Xu), International Journal of Computer Mathematics, 91 (2014), 1662-1672. MR3259539.

182

On Mod $(2s+1)$-orientations of Graphs, (with Ping Li), SIAM J. of Discrete Math., 28 (2014), 1820-1827. MR3268606.

183

Characterizations of minimal graphs with equal edge connectivity and spanning tree packing number, (with Xiaofeng Gu, Ping Li  and Senmei Yao), Graphs and Combinatorics, 30 (2014), 1453-1461. MR3268643.

184

Augmenting and preserving partition connectivity of a hypergraph, (with Xiaofeng Gu), Journal of Combinatorics, 5 (2014), 271-289.

185

Two operations on a graph preserving the (non)existence of  2-factors in  its line graph, (with Mingqiang An, Hao Li, Guifu Su, Runli Tian, Liming Xiong), Czechoslovak Mathematical Journal, Czechoslovak Math. J. 64(2014), no. 4, 1035–1044. MR3304796

 

2015

186

Per-spectral characterizations of some edge-delete subgraphs of  complete graph, (with  Heping Zhang, Tingzeng Wu), Linear and Multilinear Algebra, 63 (2015), no. 2, 397–410. MR3273763

187

Degree sequence realizations with given packing and covering of spanning trees. (with Fengxia LiuZhao ZhangMeng Zhang), Discrete Applied Mathematics 185  (2015)  113-118. MR 3320740

188

$K^{-}_5$-factor in a graph, (with Yehong Shao and Mingquan Zhan), Ars Combinatorics,   122 (2015) 97-124  MR3408035

189

Integer flow and orientation,  (with R. Luo and C. Q. Zhang),  in ``Topics in Chromatic Graph Theory'', Eds. L. Beineke and R. Wilson, Encyclopedia of Mathematics and Its Applications, Vol. 156, (2015)  pp.181-198.

190

Graphs with a 3-cycle-2-cover, (with Zhi-Hong Chen, Miaomiao Han and Mingquan Zhan), Graphs and Combinatorics, (2015) 31:2103–2111. MR3417218

191

A Note on Arboricity of 2-edge-connected Cubic Graphs, (with Rongxia Hao, Haoyang Liu). Advances in Mathematics, 44 (2015)  865-870.  MR 3493562

 

 

2016

192

On Perfect Matching Coverings and Even Subgraph Coverings, (with Xinmin Hou and C. Q. Zhang), J. Graph Theory, 81 (2016), 83-91. MR3431295

193

On $r$-hued coloring of planar graphs with girth at least 6, (with Huiming Song and Jianliang Wu), Discrete Applied Math., 198 (2016) 251-263.  MR3426896

194

On dense strongly $Z_{2s+1}$-connected graphs, (with Miaomiao Han, Jianping Liu and Aimei Yu),  Discrete Math., 339 (2016)  850-856.

MR3431399

195

Supereulerian digraphs with given local structures, (with Mansour J. Algefari, Khalid A. Alsatami, Juan Liu), Information Processing Letters, 116 (2016) 321-326. MR3458439

196

Supereulerian graphs with width $s$ and $s$-collapsible graphs, (with Ye Chen, Herbert Fleischner, Hao Li and Ping Li), Discrete Applied Math., 200 (2016) 79-94.  MR3442576

197

Dicycle cover of Hamiltonian oriented graphs, (with  Khalid A. Alsatami,  Xindong Zhang), Journal of Discrete Mathematics,  Volume 2016, Article ID 7942192, MR3459654

198

Element deletion changes in dynamic coloring of graphs, (with Lianying Miao,  Yan-Fang Guo, Zengke Miao), Discrete Mathematics, 339 (2016) 1600-1604. MR3475575

199

Edge-disjoint spanning trees, edge connectivity and eigenvalues in graphs, (with Xiaofeng Gu, Ping Li and Senmei Yao), Journal of Graph Theory,  81 (2016) 16-29.  MR3431289

200

Supereulerian graphs with small circumference and 3-connected hamiltonian claw-free graphs, (with Xiaoling Ma, Wei Xiong,  Baoyindureng Wu,  Xinhui An), Discrete Applied Mathematics, 202 (2016) 111-130.  MR3458506

201

 On a Class of Supereulerian Digraphs, (with Khalid A. Alsatami, Xindong Zhang, Juan Liu) , Applied Mathematics, 7 (2016)  320-326.

202

Extendability of contractible configurations for nowhere-zero flows and modulo orientations (with Yanting Liang, Rong Luo and Rui Xu), Graphs and Combinatorics,  32 (2016), no. 3, 1065–1075. MR3489722

203

Ore-type degree condition of supereulerian digraphs, (with Yanmei Hong and Qinghai Liu), Discrete Math., 339 (2016) 2042-2050. MR3500132

204

On the lower bound of k-maximal digraphs, (with Xiaoxia Lin, Suohai Fan, Murong Xu),  Discrete Math., 339 (2016) 2500-2510.  MR3508762

205

Algorithm for constraint partial inverse matroid problem with weight increase forbidden,  (with Shuangshuang Li, Zhao Zhang), Theoretical Computer Science, 640 (2016) 119–124.  MR3516817

206

Supereulerian digraphs with large arc-strong connectivity, (with Mansour Alfegari), J. Graph Theory, 81(4), (2016) 393-402. MR3528001

207

Algorithms for the partial inverse matroid problem in which weights can only be increased, (with Zhao Zhang, Shuangshuang Li,

Ding-Zhu Du)  J.Glob Optim (2016) 65:801–811. MR3522068

208

Fractional spanning tree packing, forest covering and eigenvalues, (with Yanmei Hong, Xiaofeng Gu and Qinghai Liu), Discrete Applied Mathematics 213 (2016) 219–223. MR3544581

209

On group choosability of graphs, I, (with  H. Chuang,  G. R. Omidi, and N. Zakeri),  Ars Combin. 126 (2016), 195–209. MR 3444559

                                                                                                                                                                       

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2017

210

Minimum degree conditions for the Hamiltonicity of 3-connected claw-free graphs, (with Zhi-Hong Chen and Liming Xiong)

Journal of Combinatorial Theory, Series B, 122 (2017). , 167-186.  MR 3575201

211

Spanning trails with variations of Chv\'{a}tal-Erd\H{o}s conditions, (with Zhi-Hong Chen, Meng Zhang), Discrete Mathematics, 340 (2017) 243-251.  MR 3578821

212

The index problem of group connectivity (with Miaomiao Han and Yehong Shao), Journal of Combinatorics, Vol. 8, No. 2 (2017), pp. 305-321

213

 

 

 

 

 

 

 

 

 

 

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