欢迎本科专业为数学与应用数学、信息与计算科学、统计学的学生推免或报考本人的硕士研究生，从事图论与网络科学方向（隶属于学院应用数学系）的科学研究工作。本人2023级招生专业：运筹学与控制论／应用数学（1-2人），欢迎考生报考咨询（查阅本人招生简介）。
- 图论：在图论的历史中，还有一个最著名的问题－－四色猜想。这个猜想说，在一个平面或球面上的任何地图能够只用四种颜色来染色，使得没有两个相邻的国家有相同的颜色。在图论的研究历史中，基于这个猜想衍生出了多种染色问题，如点染色、边染色、全染色、均匀染色等。我们近期关注的重点的是图的均匀染色与图的划分问题，以及使用概率方法、代数方法、机器证明等工具解决图论问题。
- 复杂网络：世界皆互联，关联关系也错综复杂，图被公认为是描述复杂世界相互关系的最有力的数学模型。社会网络、经济网络、交通网络、互联网、蛋白质相互作用网等虽呈现的一些普遍现象，但是各自的规律也很明显。揭示网络拓扑结构的形成机制，探索网络的演化规律和整体行为，认识网络内部深奥的动力学特性，挖掘网络展现出的广泛、潜在的应用价值等问题正引起国内外学术界的高度重视。我们力求从数学的角度来研究相关的问题和算法 [引用]。
- 信息编码理论：编码理论是在研究信息传输过程中信号编码规律的数学理论。编码理论与信息论、数理统计、概率论、随机过程、线性代数、近世代数、数论、有限几何和组合分析等学科有密切关系，已成为应用数学的一个分支。我们力求从图与组合学的角度来赋予信息编码理论的前沿研究方向。
2017级：牛 蓓 beiniu # stu.xidian.edu.cn
2018级：李 艳 y.li # stu.xidian.edu.cn
2019级：张华强 hqzhangmath # stu.xidian.edu.cn
2020级：毕慧敏 hmbi # stu.xidian.edu.cn
2020级：齐梦珂 mkqi # stu.xidian.edu.cn
2021级：李科杰 sdulkj # hotmail.com
2022级：陈 萍 pchenn # stu.xidian.edu.cn
2023级：吴雅丽
2024级：代梦瑶
2024级：邹德志
2025级：王雨婷
(with Kejie Li) Strong edge coloring of outerplane graphs with independent crossings. Acta Mathematicae Applicatae Sinica, English Series. ACCEPTED.
(with Mengke Qi) Conflict-free incidence coloring of outer-1-planar graphs. Acta Mathematicae Applicatae Sinica, English Series. ACCEPTED.
(with Huimin Bi) Defective incidence coloring of graphs, Applied Mathematics and Computation 443 (2023) #127781.
(with Bei Niu) An Improvement of the Bound on the Odd Chromatic Number of 1-Planar Graphs, In: Q. Ni and W. Wu (eds) Algorithmic Aspects in Information and Management. AAIM 2022. Lecture Notes in Computer Science, 13513 (2022) 388-393.
(with Huaqiang Zhang, Bei Niu, Bi Li) Fast algorithm of equitably partitioning degenerate graphs into graphs with lower degeneracy, Theoretical Computer Science 905 (2022) 18-30.
(with Bei Niu, Yan Li, Bi Li) Equitable vertex arboricity conjecture holds for graphs with low degeneracy, Acta Mathematica Sinica, English Series 37 (2021) 1293-1302.
(with Yan Li) The structure and the list 3-dynamic coloring of outer-1-planar graphs, Discrete Mathematics & Theoretical Computer Science 23(3) (2021) #4.
(with Mengke Qi) Incidence coloring of outer-1-planar graphs. Acta Mathematicae Applicatae Sinica, English Series. ACCEPTED.
(with Huimin Bi) Incidence coloring of Mycielskians with fast algorithm, Theoretical Computer Science 878-879 (2021) 1-10.
(with Huaqiang Zhang) Theoretical aspects of equitable partition of networks into sparse modules, Theoretical Computer Science 871 (2021) 51-61.
(with Huaqiang Zhang) The structure and the bondage number of three classes of beyond-planar graphs (in Chinese). Acta Mathematicae Applicatae Sinica, Chinese Series. ACCEPTED.
(with Bi Li and Bei Niu) Complexity of Tree-Coloring Interval Graphs Equitably. In: Zhang Z., Li W., Du DZ. (eds) Algorithmic Aspects in Information and Management. AAIM 2020. Lecture Notes in Computer Science, 12290 (2020) 391-398.
(with Bei Niu) Equitable partition of graphs into induced linear forests, Journal of Combinatorial Optimization, 39(2) (2020) 588-581.
(with Bei Niu) Light edges in 1-planar graphs of minimum degree 3, Discrete Mathematics, 343(2) (2020) #111664.
(with Bei Niu) On (p,1)-total labelling of some 1-planar graphs, Discussiones Mathematicae Graph Theory, 41 (2021) 531–558.
(with Bei Niu) Linear arboricity of NIC-planar graphs, Acta Mathematicae Applicatae Sinica, English Series, 35(4) (2019) 924–934.
(with Bei Niu and Jiguo Yu) A structure of 1-planar graph and its applications to coloring problems, Graphs and Combinatorics, 35(3) (2019) 677-688.
(with Yan Li) Dynamic list coloring of 1-planar graphs, Discrete Mathematics 344(5) (2021) #112333.
(with Bei Niu) Equitable tree-O(d)-coloring of d-degenerate graphs. arXiv:1908.05069
(with Yan Li) Equitable list tree-coloring of bounded treewidth graphs, Theoretical Computer Science, 855 (2021) 61–67.
(with Yan Li) List dynamic coloring of sparse graphs and K4-minor-free graps
(with Bei Niu) Equitable partition of plane graphs with independent crossings into induced forests, Discrete Mathematics, 343(5) (2020) #111792.
(with Weichan Liu, Chen Gong and Lifang Wu) A note on the vertex arboricity of signed graphs, Utilitas Mathematica, 106 (2018) 251-258.
(with Weichan Liu) Total coloring of outer-1-planar graphs: the cold case. In: Zhang Z., Li W., Du DZ. (eds) Algorithmic Aspects in Information and Management. AAIM 2020. Lecture Notes in Computer Science, 12290 (2020) 469-480.
(with Xue Deng, Jiaqiang Ma, Chenggang Wang, and Renfeng Zhou) on r-equitable colorings of bipartite graphs, Utilitas Mathematica, 103 (2017) 161-165.
张欣, 李艳, 稀疏图与系列平行图的列表动态染色, 应用数学学报，45(4) (2022) 552-559.
张华强, 张欣, 牛蓓，三类超越可平面图的结构及其约束数，应用数学学报，44(6) (2021) 838-846.
牛蓓, 张欣, 反d-退化图中的点不交3-圈, 山东大学学报（理学版）, 55(9) (2020) 51-53.
李艳, 张欣, 外1-平面图的均匀边染色，计算机工程与应用，55(24) (2019) 37-40.
宫辰，武丽芳，刘维婵，张欣, 不含特殊子式的符号图的选择数, 计算机工程与应用，54(16) (2018) 55-58.
刘维婵, 张欣, 外1-平面图的均匀点荫度，计算机工程与应用，54(10) (2018) 51-53.
张欣，刘维婵，1-平面图及其子类的染色，运筹学学报，21(4) (2017) 135-152.
