應(yīng)yl7703永利官網(wǎng)邀請，中國礦業(yè)大學(xué)顏棋博士2023年5月4日作線上學(xué)術(shù)報告。

報告題目：Partial-dual genus polynomials and signed intersection graphs

時間：2023年5月4日（周四）16:30-17:30

地點：騰訊會議（會議ID: 339-903-792）

摘要：Recently, Gross, Mansour and Tucker introduced the partial- dual polynomial of a ribbon graph as a generating function that enumerates the partial duals of the ribbon graph by Euler genus. It is analogous to the extensively-studied polynomial in topological graph theory that enumerates by Euler genus all embeddings of a given graph. To investigate the partial-dual polynomial one only needs to focus on bouquets. In this talk, we shall further show that the partial-dual polynomial of a bouquet essentially depends on the signed intersection graph of the bouquet rather than on the bouquet itself. We then give a characterization of when a bouquet has a planar partial dual in terms of its signed intersection graph. Finally we consider a conjecture posed by Gross, Mansour and Tucker that there is no orientable ribbon graph whose partial-dual polynomial has only one non-constant term, this conjecture is false and we give a characterization of when all partial duals of a bouquet have the same Euler genus. (Joint work with Xian’an Jin)

報告人簡介

顏棋，廈門大學(xué)博士畢業(yè)，中國礦業(yè)大學(xué)講師，碩士生導(dǎo)師。研究方向：拓?fù)鋱D論，主持國家自然科學(xué)基金（青年）項目一項，在《Forum Math. Sigma》、《Adv. in Appl. Math.》、《J. Combin. Theory Ser. A》、《European J. Combin.》等國內(nèi)外數(shù)學(xué)期刊上發(fā)表學(xué)術(shù)論文26余篇。

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2023年4月28日