一 基本信息
关夏夏,女,讲师 联系方式:guanxiaxia@tyut.edu.cn
二 个人经历
教育经历:
2019.09-2023-12: 厦门大学 数学与科学学院 博士研究生
2022.11-2023-11: 东京工业大学 国家公派博士联合培养
2016.09-2019.06: 太原理工大学 数学学院 理学硕士
2012.09-2016.06: 太原理工大学 数学学院 理学学士
工作经历:
2024.02-至今 太原理工大学 数学学院 讲师
三 研究方向
图论与组合;拟阵
四 科研成果
科研项目:
1. 国家自然科学基金委员会,青年科学基金项目,12401462,多项拟阵Tutte多项式若干问题的研究,2025-01至2027-12,30万元,在研,主持。
2. 山西省科学技术厅, 山西省基础研究计划, 202403021222034, 多项拟阵Tutte多项式的性质和系数研究, 2025-01 至 2027-12, 5万元, 在研, 主持。
代表性论文:
[1] Xiaxia Guan; Weihua Yang; On the pagenumber of 1-planar graphs, Chinese Annals of Mathematics, Series B, 2025, 46(2):287-302.
[2] Xiaxia Guan; Xian'an Jin; A direct proof of well-definedness for the polymatroid Tutte polynomial, Advances in Applied Mathematics, 2025,163:1-18.
[3] Xiaxia Guan; Tianlong Ma; Fractional matchings on regular graphs, The Journal of Supercomputing, 2024, 80:18942-18953.
[4] Xiaxia Guan; Weiling Yang; Xian'an Jin; On the polymatroid Tutte polynomial, Journal of Combinatorial Theory, Series A, 2024, 201:105798.
[5] Xiaxia Guan; Xian’an Jin; Tianlong Ma; The interior and exterior polynomials are well-defined, Discrete Applied Mathematics, 2024, 345:246-253.
[6] Xiaxia Guan; Tian Ma; Chao Shi; Tight toughness, isolated toughness and binding number bounds for the {K2,Cn}-factors, Journal of the Operations Research Society of China, 2023, 1-10.
[7] Xiaxia Guan; Chuxiong Wu; Weihua Yang; Jixiang Meng; A Survey on Book-embedding of Planar Graphs, Frontiers of Mathematics in China, 2022, 17:255–273.
[8] Xiaxia Guan; Weihua Yang; Embedding planar 5-graphs in three pages, Discrete Applied Mathematics, 2020, 282:108–121.
[9] Xiaxia Guan; Shurong Zhang; Rong-hua Li; Lin Chen; Weihua Yang; Anti-k-labeling of graphs, Applied Mathematics and Computation, 2019, 363:124549.
[10] Xiaxia Guan, Lina Xue; Eddie Cheng; Weihua Yang; Minimum degree and size conditions for the proper connection number of graphs, Applied Mathematics and Computation, 2019, 352: 205–210.
五 社会兼职
无