Seminar on Discrete Mathematics: The deletion-contraction definition of the polymatroid Tutte polynomial are well-defined

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:关夏夏(太原理工大学)
:2025-09-29 15:00
:海韵园行政楼C610

报告人:关夏夏(太原理工大学)

 间:202592915:00

 点:海韵园行政楼C610

内容摘要:

In 2022, Bernardi, Kálmán and Postnikov introduced the polymatroid Tutte polynomial. They posed a question: Does there exist a deletion-contraction formula for the polymatroid Tutte polynomial? Recently, Guan, Jin and Kálmán solved this question in the affirmative by obtaining a deletion-contraction formula for the polymatroid Tutte polynomial. In this talk, we re-define the polymatroid Tutte polynomial by the aforementioned deletion-contraction formula and prove its well-definedness.

人简介

关夏夏,太原理工大学数学学院讲师,硕士生导师。2023年博士毕业于厦门大学,曾赴日本东京工业大学进行访问交流一年。主要从事Tutte多项式和结构图论等研究工作。主持国家自然科学基金青年项目和山西省自然科学基金各一项,在Int. Math. Res. Not., J. Combin. Theory Ser. AAdv. in Appl. Math. 等期刊上发表论文10余篇。

 

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