Research Interests
§ Almost claw-free graphs, Quasi-claw-free graphs, Claw-free graphs
§ Eulerian graphs, Supereulerian graphs
§ Group connectivity
§ Line graphs
Presentations at Professional Conferences
Z_3-connectivity in Abelian Cayley graphs, 4th International Symposium on graph theory and combinatorial algorithms, 7/8/2011~7/11/2011, Beijing, China.
Group presentations and Cayley graphs, Joint Colloquium of Millersville University and Franklin & Marshall College, 10/28/2010, Millersville University, Millersville, PA
K-5-factor in a graph, 23rd Midwest Conference on Combinatorics, Cryptography, and Computing, October 3-4, 2009, Rochester Institute of Technology
On 3-edge-connected supereulerian graphs, 3rd Annual International Conference on Combinatorial Optimization and Applications, 6/10/2009~6/12/2009, Yellow Mountains, China
Hamiltonian cycles in claw-free graphs, MSM ACM/MAA Lecture Series, Mount St. Mary’s University, October 3, 2007
Triangularly connected quasi claw-free graphs and almost claw-free graphs, 20th Cumberland Conference on Discrete Mathematics, Emory University, May 17-19, 2007
Cycles in claw-free graphs, Joint Colloquium of Millersville University and Franklin & Marshall College, 10/20/2005, Franklin & Marshall College, Lancaster, PA
Every 4-connected line graph of a quasi claw-free graph is hamiltonian connected, 17th Cumberland Conference on Combinatorics, Graph Theory, and Computing, 05/20/2004 ~ 05/22/2004, Middle Tennessee State University, Murfreesboro, TN.
A closure concept in claw-free graphs and its application, Colloquium, 10/30/2003, Millersville University and Franklin & Marshall College, Millersville, PA.
Hamiltonicity in 3-connected claw-free graphs, 16th Cumberland Conference on Combinatorics, Graph Theory, and Computing, 05/15/2003 ~ 05/17/2003, Georgia State University, Atlanta, GA.
Hamiltonicity in almost claw-free graphs, 2003 Joint Mathematics Meeting in Baltimore, MD, January 14-18, 2003.
On a closure concept in claw-free graphs, Combinatorics seminar, 10/09, 16/2002, West Virginia University, Morgantown, WV.
Supereulerian matroids, 35th Midwest Graph Theory Conference, 09/27/2002~09/28/2002, Illinois State University, Normal, Illinois.
Neighborhood intersections and hamiltonicity in almost claw-free graphs, 15th Cumberland Conference on Combinatorics, Graph Theory, and Computing, 05/16/2002 ~ 05/18/2002, University of Mississippi, Oxford, MS.
Supereulerian planar graphs, 34th Midwest Graph Theory Conference, 10/13/2001~10/14/2001, Oakland University, Rochester, Michigan.
Co-supereulerian and girth, 2001 Spring Eastern Section Meeting of the AMS, 4/28/2001~4/29/2001, Hoboken, NJ.
Recent Papers
Hamiltonicity of nearly claw-free graphs, submitted
Z_3-connectvity of Cayley graphs, submitted
Spanning cycles in reguler matroids without small cocircuits, submitted
Group connectivity of Cayley graphs, submitted
Pancyclicity in 4-connected claw-free Z_8-free graphs,
Publication List
K_5^--factor in a graph (with Hong-Jian Lai, Yehong Shao), ARS Combinatoria, accepted.
Z_3-connectivity of 4-edge-connected 2-triangular graphs (with Xinmin Hou, Hong-Jian Lai, Ju Zhou, Taoye Zhang), European Journal of Combinatorics, 33(2012), 182-188.
Group Connectivity and Group Colorings of Graphs-A survey (with Hong-Jian Lai, Xiangwen Li, Yehong Shao), Acta Mathematica Sinica, English Series, Vol 27, Number 3 (2011), 405-434.
On 3-edge-connected supereulerian graphs (with Hong-Jian Lai, Hao Li and Yehong Shao), Graphs and Combinatorics, 27 (2011), 207-214.
Hamiltonicity of 6-connected line graphs, Discrete Applied Mathematics, 158(2010), 1971-1975.
Degree Sum and Z_3-connectivity (with Hong-Jian Lai, Xiangwen Li, Yehong Shao, Rui Xu, Xiaoxia Zhang), Discrete Mathematics, 310(2010), 3390-3397.
Full cycle extendability of triangularly connected almost claw-free graphs, ARS Combinatoria, (96)2010, 489-497.
Hamilton-connected indices of graphs (with Zhi-Hong Chen, Hong-Jian Lai, Liming Xiong, Huiya Yan), Discrete Mathematics, 309 (2009), 4819-4827.
Vertex pancyclicity in quasi claw-free graphs, Discrete Mathematics,307(2007), 1679-1683.
Hamiltonicity in 3-connected claw-free graphs (with Hong-Jian Lai and Yehong Shao), J. Combinatorial Theory, Series B, Vol. 96, Issue 4(2006), 493-504.
Supereulerian planar graphs (with Hong-Jian Lai, Deying Li and Jingzhong Mao), ARS Combinatoria, 75 (2005), 313-331.
Every 3-connected N2-locally connected claw-free graph is Hamiltonian (with Hong-Jian Lai, Yehong Shao), J. Graph Theory, Vol. 48, Issue 2 (2005), 142-146.
Eulerian subgraphs and Hamilton-connected line graphs (with Hong-Jian Lai, Dengxin Li), Discrete Applied Mathematics, 145(2005), 422-428
Neighborhood intersections and hamiltonicity in almost claw-free graphs, Discrete Mathematics, 243(2002), 171-185
The neighborhood intersections of essential sets and the traceable properties of K1,r-free graphs, J. Southeast University, Vol. 29, 1999(6)
Two sufficient conditions for (k+1)-connected K1,r –free graphs to be Hamilton-connected (with Xinping Xu), J. Liongning University (Natural Science), Vol. 25, 1998(4)
Hamilton-connected properties of (k+1)-connected claw-free graphs (with Xinping Xu), J. Nanjing Normal University (Natural Science), Vol. 21, 1998(2)
A discussion on k-connected claw center independent graphs being Hamiltonian using essentials sets (with Xinping Xu), J. Nanjing University Mathematical Bi-quarterly, Vol. 14, N0.2 (1997)
A sufficient conditions for claw center independent graphs having Hamilton-path (with Xinping Xu), J. Nanjing Normal University (Natural Science), Vol. 20, 1997(3)
A discussion on graphs being traceable using essential sets (with Xinping Xu), J. Jiangsu Education College (Natural Science), 1997(1)
Hamiltonicity of k-connected claw center independent graph (with Xinping Xu), J. Jiangsu Education College (Natural Science), 1996(2)