王光辉
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组合数学
极值组合：当一族对象（数、图、集合等）满足某些限制条件时，那么这个集族能有多大或多小？包括Turán问题，Ramsey问题等。
概率组合：主要证明满足某些性质的组合结构的存在性。概率组合的代表人物有P. Erdős等。
加法组合：主要研究各种基本代数运算的组合估计，与图论、数论、组合、遍历论都有紧密联系。加法组合的代表人物有P. Erdős，E. Szemerédi， T. Gowers， B. Green， T. Tao等。
数据科学
编码理论：研究信息传输过程中信号编码规律的理论，应用于包括高速数字调制解调器、移动电话、卫星及空间通信、高密度数据存储等系统。
图神经网络：借鉴卷积网络、循环网络和深度自动编码器的思想，定义和设计了用于处理图数据的神经网络结构。
1. 组合数学基础理论方向
| 论文题目 | 期刊 |
| F-factors in quasi-random hypergraphs. | Journal of the London Mathematical Society |
| Embedding clique-factors in graphs with low ℓ-independence number. | Journal of Combinatorial Theory Series B |
| Tiling multipartite hypergraphs in quasi-random hypergraphs. | Journal of Combinatorial Theory Series B |
| Clique immersion in graphs without a fixed bipartite graph. | Journal of Combinatorial Theory Series B |
| Balanced subdivisions of cliques in graphs. | Combinatorica |
Non-liear Hamilton cycles in quasi-random hypergraphs. |
SODA |
| Integer colorings with forbidden rainbow sums. | Journal of Combinatorial Theory Series A |
| Crux and long cycles in graphs. | SIAM Discrete Mathematics |
Decomposing edge-coloured graphs under colour degree constraints. |
Combinatorics Probability Computing |
| Integer colorings with no rainbow k-term arithmetic progression. | European Journal of Combinatorics |
On splitting digraphs. |
European Journal of Combinatorics |
Rainbow matchings in properly-colored hypergraphs. |
Electronic Journal of Combinatorics |
| Density of monochromatic infinite paths. | Electronic Journal of Combinatorics |
Planar graphs with maximum degree 8 and without intersecting chordal 4-cycles are 9-totally colorable. |
Science China(Mathematics) |
| Antimagic orientations of even regular graphs. | Journal of Graph Theory |
2. 数据科学应用方向
| 论文题目 | 期刊 |
An integrative and applicable phylogenetic footprinting framework for cis-regulatory motifs identification in prokaryotic genomes. |
BMC Genomics |
Dynamic contest model with bounded rationality. |
Applied Mathematics and Computation |
RWHMDA: Random walk on hypergraph for Microbe-Disease association prediction. |
Frontiers in Microbiology |
Integrating random walk and binary regression to identify novel MiRNA-Disease association. |
BMC Bioinformatics |
HAMDA: Hybrid approach for MiRNA-Disease association prediction. |
Journal of Biomedical Informatics |
Temporal information gathering process for node ranking in time-varying networks. |
Chaos |
图论及其应用研究团队
数据科学研究团队
