学如逆水行舟, 不进则退

Submitted Papers: 

• Towards the Overfull Conjecture.  Available as arXiv:2308.16808v3.

• Toughness and the existence of k-factors in hypergraphs (with Yuping Gao and GexinYu). Available as arXiv:2304.14172.

• A note on Gupta’s co-density conjecture (with Guantao Chen).  

Available as arXiv:2304:06651.

• On the Multigraph Overfull Conjecture (with Michael J. Plantholt). 

Available as arXiv:2302.13197.

• 2-factors in 3/2-tough plane triangulations. 

Available as arXiv:2211.11714.

• An Ore-type condition for hamiltonicity in tough graphs and the extremal examples. Available as arXiv:2210.17006.

• Overfullness of edge-critical graphs with small minimal core degree (with Yan Cao, Guantao Chen, and Guangming Jing).  Available as arXiv:2208.04179.

• The overfull conjecture on graphs of odd order and large minimum degree. 

Available as arXiv:2205.08564.

• Precoloring extension of Vizing’s Theorem for multigraphs (with Yan Cao, Guantao Chen, Guangming Jing and Xuli Qi).  Available as arXiv:2204.01074.

• Proof of the Core Conjecture of Hilton and Zhao (with Yan Cao, Guantao Chen, and Guangming jing).  Available as arXiv:2004.00734.

Published Papers：

• Antimagic Orientation of Forests (with Xiaowei Yu). Discrete Math., 347 (2024), no.1, 113666.

• Characterization of Graphs of Diameter 2 Containing a Homeomorphically Irreducible Spanning Tree (with Shoichi Tsuchiya). J. Graph Theory, to appear.  doi:10.1002/jgt.23005.

• Existence of 2-Factors in Tough Graphs without Forbidden Subgraphs (with Elizabeth Grimm and Anna Johnsen). Discrete Math., 346 (2023), no. 10, 113578.

• Erdős-Gyárfás Conjecture for P_8-free graphs (with Yuping Gao). Graphs Combin. 38, 168 (2022).

• Edge coloring graphs with large minimum degree (with Michael J. Plantholt). J. Graph Theory, 102 (2023), no. 4, 611-632.

• The overfullness of graphs with small minimum degree and large maximum degree (with Yan Cao, Guantao Chen, and Guangming jing). SIAM J. Discrete Math., 36 (2022), no. 3, 2258–2270.

• Towards the Small Quasi-Kernel Conjecture (with Alexandr Kostochka and Ruth Luo). Electron. J. Combin., 29 (2022) no. 3, P3.49.

• Chromatic index of dense quasirandom graphs. J. Combin. Theory Ser. B, 157 (2022), 429-450.

• A note on hamiltonian cycles in 4-tough (P_2 U kP_1)-free graphs (with Lingjuan Shi). Discrete Math., 345 (2022), no. 12, 113081

• Hamiltonian cycles in 7-tough (P_3 U 2P_1)-free graphs (with Yuping Gao). Discrete Math., 345 (2022), no. 12, 113069.

• An improvement to the Hilton-Zhao vertex-splitting conjecture (with Yan Cao and Guantao Chen). Discrete Math., 345 (2022), no. 8, 112902.

• Overfullness of critical class 2 graphs with a small core degree (with Yan Cao and Guantao Chen). J. Combin. Theory Ser. B, 156 (2022), 145-173.

• Independence number of edge-chromatic critical graphs (with Yan Cao, Guantao Chen, and Guangming Jing). J. Graph Theory, 101 (2022), no. 2, 288-310.  

• Antimagic orientation of subdivided caterpillars (with Jessica Ferraro and Genevieve Newkirk). Discrete Applied Mathematics, 313 (2022), 45-52.

• An Ore-type condition for hamiltonicity in tough graphs. Electron. J. Combin., 29 (2022) no. 1, P1.5.

• Nonempty intersection of longest paths in graphs without forbidden pairs (with Yuping Gao). Discrete Applied Mathematics, 304 (2021), 76-83.

• Antimagic orientation of graphs with minimum degree at least 33. J. Graph Theory, 98 (2021), no. 4, 676-690.  

• Hamiltonian cycles in tough (P_2 U P_3)-free graphs. Electron. J. Combin., 28 (2021), no. 1, P1.36.

• Toughness and spanning trees in K_4-minor-free graphs (with Mark Ellingham, Dong Ye, and Xiaoya Zha). J. Graph Theory, 96 (2021), no. 3, 379-402.

• Antimagic orientation of lobsters (with Yuping Gao). Discrete Applied Mathematics, 287 (2020), no. 15, 21-26.

• Toughness and prism-hamiltonicity of P4-free graphs (with M. N. Ellingham and Pouria Salehi Nowbandegani). Discrete Applied Mathematics, 284 (2020), no. 30, 201-206.

• Regular Colorings in Regular Graphs (with Anton Bernshteyn, Omid Khormali, Ryan R. Martin, Jonathan Rollin, Danny Rorabaugh, and Andrew J. Uzzell). Discuss. Math. Graph Theory, 40 (2020), no. 3, 795-806.

• Hamiltonian cycles in 3-tough 2K_2-free graphs. J. Graph Theory, 94 (2020), no. 3, 349-363.

• Dirac’s Condition for Spanning Halin Subgraphs (with Guantao Chen). SIAM J. Discrete Math., 33 (2019), no. 4, 1997-2022.

• Characterizing the Difference Between Graph Classes Defined by Forbidden Pairs Including the Claw (with Guantao Chen, Michitaka Furuya, Shoichi Tsuchiya, and Ping Yang). Graphs Combin., 35 (2019), no. 6, 1459-1474.

• Vizing’s 2-factor conjecture involving maximum degree and toughness conditions (with Jinko Kanno). Electron. J. Combin., 26 (2019), no. 2, P2.17.

• Chromatic index determined by fractional chromatic index (with Guantao Chen, Yuping Gao, Ringi Kim, and Luke Postle). J. Combin. Theory Ser. B, 131 (2018), 85-108.

• Nonempty intersection of longest paths in 2K_2-free graphs (with Gili Golan). Electron. J. Combin., 5 (2018), no. 2, P2.37.

• Antimagic orientation of biregular bipartite graphs (with Xiaowei Yu). Electron. J. Combin., 24 (2017), no. 4, P4.31.

• Forbidden pairs and the existence of a spanning Halin subgraph (with Guantao Chen, Jie Han, Suil O, and Shoichi Tsuchiya). Graphs Combin., 33 (2017), no. 5, 1321-1345.

• Spanning trails with maximum degree at most 4 in 2K_2-free graphs (with Guantao Chen, Mark Ellingham, and Akira Saito). Graphs Combin., 33 (2017), no. 5, 1095-1101.

• Vizing’s 2-factor conjecture involving large maximum degree (with Guantao Chen). J. Graph Theory, 86 (2017), no. 4, 422-438.

• Nonempty intersection of longest paths in series-parallel graphs (with Guantao Chen, Julia Ehrenmüller, Cristina G. Fernandes, Carl Georg Heise, Ping Yang, and Amy Yates). Discrete Math., 340 (2017), no. 3, 287-304.

• Equitable vertex arboricity of 5-degenerate graphs (with Guantao Chen, Yuping Gao, Guanghui Wang, and Jianliang Wu). J. Combin. Opt., 34 (2017), no. 2, 426-432.

• Characterizing forbidden pairs for hamiltonian squares (with Guantao Chen). Graphs Combin., 31 (2015), no. 6, 2113-2124.

• Disjoint chorded cycles of the same length (with Guantao Chen, Ronald J. Gould, Kazuhide Hirohata, and Katsuhiro Ota). SIAM J. Discrete Math., 29 (2015), no. 2, 1030-1041.

• The existence of a 2-factor in a graph satisfying the local Chvátal-Erdos condition (with Guantao Chen and Akira Saito). SIAM J. Discrete Math., 27 (2013), no. 4, 1788-1799.

• Homeomorphically irreducible spanning trees (with Guantao Chen). J. Combin. Theory Ser. B, 103 (2013), no. 4, 409-414.

• On equitable vertex distinguishing edge colorings of trees (with Bing Yao and Xiangen Chen). Acta Math. Sci. Ser. B Engl. Ed., 33 (2013), no. 3, 621-630.

• Homeomorphically irreducible spanning trees in locally connected graphs (with Guantao Chen and Han Ren). Combin. Probab. Comput., 21 (2012), no. 1-2, 107-111.

• Genus of Cm,n and strong genus embedding of K_m,n (with Han Ren). J. East China Norm. Univ. Natur. Sci. Ed., 2011, no. 2, 17-21.

• Inverse eigenvalue problem for nonnegative matrices. J. East China Norm. Univ. Natur. Sci. Ed., 2009, no. 4, 35-37.

• The k-balancings of two families of graphs. Journal of Gansu Normal Colleges, Vol.12 (2007), no. 5, 13-15.