應(yīng)yl7703永利官網(wǎng)高毓平副教授和顏棋副教授邀請，廈門大學金賢安教授將于2024年1月18日舉辦線上學術(shù)報告。

報告題目：Deletion, contraction and the Tutte polynomial

報告時間：2024年1月18日19:00

騰訊會議ID：893-260-155

報告摘要：In this talk, we first recall the three equivalent definitions oftheTutte polynomial of graphs: rank generatingfunction, deletion-contraction definition and the maximal forests expansion. Then we give a detailed account of their generalizations to matroids. To unify the interior and exterior polynomials of hypergraphs,In 2022, Bernardi, Kalman and Postnikov introduced the polymatroid Tutte polynomial by generalizing the third definition of the Tutte polynomial and obtained a deletion-contraction relation for two special cases that generalizes the deletion-contraction formula of the classical Tutte polynomial. Recently we obtained a general deletion-contraction relation for the polymatroid Tutte polynomial based on the observation that certain natural ``slices'' of polymatroids are again polymatroids. Using deletion-contraction, several results on coefficients are obtained. This is a joint work with Xiaxia Guan and Tamas Kalman.

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報告人簡介

金賢安，廈門大學教授、博導(dǎo)，數(shù)學科學學院副院長。廈門大學本科和博士，北京大學博士后。主要從事圖論、紐結(jié)論和數(shù)學化學等方面的研究工作，已在Forum Math. Sigma、JCTA、AAM, JGT等發(fā)表學術(shù)論文80多篇。先后主持國家自然科學基金項目4項，參加重點項目1項。曾應(yīng)邀在美國第33屆國際拓撲及其應(yīng)用大會作50分鐘報告等。曾獲寶鋼優(yōu)秀教師獎（2021年）和國家教學成果二等獎（2018年）等。已指導(dǎo)博士后1人、訪問學者4人，已培養(yǎng)博士生9人和碩士生21人。

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