1. 几种顶点染色下色数估计及临界性研究,2019-07至2022-06,山东省自然科学基金,15万,1/7
2. 图的曲面嵌入、图子式以及与边相关的染色问题,2020-01-01至2023-12-31,国家自然科学基金面上项目,52万,2/10
3. 边染色图与有向图中的几类极值问题,2019-01-01至2022-12-31,国家自然科学基金面上项目,52万,3/10
4. 点邻域有限制条件的图的染色问题及其拓展研究,2018-03-01至2021-06-31,山东省自然科学基金,12万,2/10
5. 三正则图的完美匹配覆盖,2018.01-2020.12,国家自然科学基金青年科学基金项目,22万,2/6
6. 基于图论方法的符号网络中重叠聚类算法的研究,2015.1.1-2017.12.31,国家自然科学基金青年科学基金项目,22万,2/6
7. 基于图论及组合最优化技术的符号网络中影响最大化问题的研究,2014-12-01至2017-12-31,省自然科学基金,15万,2/6
8. 图的有限定条件的圈问题研究, 2013.1-2016.12,国家自然科学基金项目, 46万元, 本人排名第三位
9. 图的k-流与群连通性质研究,2012-07-01至2015-07-31, 省自然科学基金, 6万, 2/9
10. 图上有限制条件的染色问题研究,2009.1-2011.12,国家自然科学基金, 35万,本人排名第五位
11. 网络设计与图的圈路问题研究,2007-2009,省博士基金,6万,本人排名第二位
12. 图的(g,f)-染色理论研究,2005.1-2007.12,国家自然科学基金,23万,本人排名第八位
1. Hu Linna, Song Huimin, Wu Jianliang, A note on list edge coloring of planar graphs without adjacent short cycles,ARS COMBINATORIA 143,(2019)3-12(SCI) (2019.1,通讯作者)
2. Huimin Song, Lianying Miao, Zhengke Miao & Hong-Jian Lai,Sensitivity of r-hued colouring of graphs,International Journal of Computer Mathematics: Computer Systems Theory,3(2018) 262–273(Taylor & Francis)
3. Huimin Song,Hong-Jian Lai,Upper bounds of r-hued colorings of planar graphs,Discrete Applied Mathematics 243 (2018) 262-269(SCI)
4. Huimin Song,Hong-Jian Lai,JianLiang Wu,List r-hued chromatic number of graphs with bounded maximum average degrees,Discrete Mathematics 341 (2018) 1244-1252(SCI)(通讯作者)
5. Huimin Song,Hong-Jian Lai,Jian-Liang Wu,On r-hued coloring of planar graphs with girth at least 6,Discrete Applied Mathematic 198 (2016) 251-263 (SCI)
6. Huimin Song,Suohai Fan, Ye Chen, Lei Sun, and Hong-Jian Lai, On r-hued coloring of K4-minor free graphs , Discrete Mathematics (315-316) (2014), 47-52.(SCI)
7. Xingqin Qi,Huimin Song,Jianliang Wu,Edgar Fuller,Rong Luo,Cun-Quan Zhang,Eb&D: A new clustering approach for signed social networks based on both edge-betweenness centrality and density of subgraphs, Physica A 482 (2017) 147–157(SCI)
8. Ye Chen, Suohai Fan, Hong-Jian Lai, Huimin Song and Lei Sun, On dynamic coloring for planar graphs and graphs of higher genus, Discrete Applied Mathematics (160) (2012), 1064-1071. (SCI)
9. Kang Qinma, He Hong and Song Huimin ,Task assignment in heterogeneous computing systems using an effective iterated greedy algorithm, Journal of Systems and Software (84) (2011), 985-992.(SCI)
10. Kang Qinma, He Hong, Song Huimin and Deng Rong,Task allocation for maximizing reliability of distributed computing systems using honeybee mating optimization, Journal of Systems and Software (83) (2010), 2165-2174.(SCI)
11. Song Huimin,Wu Jianliang and Liu Guizhen,The Equitable edge-coloring of series-parallel graphs, International Conference on Computational Science (3) (2007), 457-460. (EI, ISTP)
12. Song Huimin, Liu Guizhen, On f-edge cover-colouring of simple graphs, Acta Mathematica Scientia 25B(2005),145-151. (SCI)
13. Song Huimin and Liu Guizhen, Applications of an equitable edge-colouring theorem, Proceedings of the international conference on mathematical programming(2004),350-355.
14. 宋慧敏,刘桂真,图的f-边覆盖染色,数学学报,(2005),48(5):919-928.
15. 宋慧敏,刘桂真,边覆盖临界图的一些性质,数学进展,(2004),33(1):96-102.
16. 宋慧敏,吴建良,几乎外平面图的边染色,山 东 大 学 学 报 (工 学 版),2004,34(4)63-67(2004.8)
17. 李 静,张玉海,宋慧敏,矩阵方程X+A*X-pA=I(0