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. |
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 |
|
Hamiltonian connectedness in 3-connected line graphs,
(with Yehong Shao, Gexin Yu and Mingquan Zhan), Discrete Applied Math. 157 (2009) 982-990. MR2500716 |
|
Reinforcing the number of disjoint spanning trees,
(with Z. H. Chen), Ars Combinatoria, 93 (2009), 113-127. MR2566744 |
|
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 Xiangjuan 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 Chvatal-Erdos 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. |
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 |
|
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) 1447-1452. 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
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Mod $(2p+1)$-orientations in line graphs,
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$Z_3$-connectivity of 4-edge-connected 2-triangular
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Multigraphic degree sequences and
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On 3-connected Hamiltonian
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On Dynamic Coloring for Planar Graphs and
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A dual version of the Brooks group coloring
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Spanning Cycles in Regular Matroids
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Characterization of removable
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Spanning subgraph with Eulerian components,
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Connectivity and Diameter of Second Order
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Spanning Eulerian Subgraphs in Generalized
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Group Connectivity of Complementary Graphs,
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Hamiltonicity of 3-connected line graph,
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Group Colorability of Multigraphs,
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Non-separating subgraphs, (with Yanmei
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Hamilton cycles in 3-connected claw-free
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Note on the spectral characterization of
some cubic graphs with maximum number of triangles. (with Fenjin Liu,
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Realizing degree sequences
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On group choosability of total
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Analytical Solution of
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On $s$-hamiltonian line
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On $r$-hued Coloring of $K_4$-minor Free
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On extremal k-supereulerian graphs, (with Zhaohong Niu, Liang Sun, Liming Xiong and Huiya
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Bounds of eigenvalues of a
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Spanning 3-connected index of graphs,
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Edge-disjoint spanning trees and eigenvalues,
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Supereulerian Graphs and the Petersen
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Collapsible Graphs and Hamiltonicity of Line Graphs.
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On Strongly $Z_{2s+1}$-connected Graphs,
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Cyclic base orderings in some classes of
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On the existence of
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Realizing degree sequences as Z3-connected
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On Mod $(2s+1)$-orientations of Graphs,
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Augmenting and preserving partition
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Integer flow and orientation,
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On Perfect Matching Coverings and Even
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Algorithm for constraint partial inverse matroid
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Algorithms for the partial inverse matroid problem in
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Fractional spanning tree packing, forest covering and
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Spanning trails with variations of
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The index problem of group connectivity
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The (signless) Laplacian spectral radii of c-cyclic
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Characterizations of k-cutwidth critical trees,
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A property on reinforcing edge-disjoint
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MOD (2p + 1)-ORIENTATION ON BIPARTITE GRAPHS
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On the permanental nullity and matching
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Connectivity keeping stars or double-stars in
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An log(n) algorithm for reliability evaluation of
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List r-hued chromatic number of graphs with bounded
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Degree sum and hamiltonian-connected line graphs,
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On the permanental sum of graphs, (with Tingzeng
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Minimax properties of some density measures in
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Strongly Spanning Trailable Graphs with Short Longest
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The connectivity of generalized graph products, (with
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Modulo orientations with bounded independence number,
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Upper bounds of r -hued colorings of planar graphs.
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Packing spanning trees in highly
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Spectral results on Hamiltonian problem, (with
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Collapsible subgraphs of a 4-edge-connected graph,
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On r-hued colorings of graphs without short induced
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Modulo 5-orientations and degree sequences, (with
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Spanning tree packing number and
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Vertex-connectivity and eigenvalues
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On s-hamiltonian line graphs of
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Characterizations
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On the sizes
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