“海外學術大師講壇”第十四期邀請到了美國數學會(AMS)會士、美國範德堡大學Mark Ellingham教授為師生們開講。在講座中Mark Ellingham教授将介紹其在組合圖論方面的最新研究成果。講座将在線上展開，歡迎各位師生莅臨參與！

主講人：Prof.Mark Ellingham

主持人：劉文忠 副教授

報告題目：Orientable Embeddings with Eulerian Faces

報告時間：2022年11月3日 9:00-11:00

報告地點：ZOOM 會議号：982 5307 6490

       會議密碼：131945

報告摘要：

Embeddings with faces bounded by euler circuits arise in several situations, such as building DNA models of graphs that can be scanned easily, and finding maximum genus orientable directed embeddings of digraphs.  We discuss results on the existence of such embeddings.  First, graphs (or eulerian digraphs) where all vertices have degree congruent to 2 mod 4 have an orientable embedding with two euler circuit faces.  Second, n-vertex eulerian graphs (or digraphs) where all vertices have at least (4n+2)/5 distinct neighbours also have such an embedding.  We discuss some of the ideas used in the proofs of these results and some extensions and related results. This is joint work with Jo Ellis-Monaghan of the University of Amsterdam in the Netherland

報告人簡介：

Mark Ellingham, 美國範德堡大學數學系副主任,教授，博士生導師。現任美國數學會(AMS)會士; 組合領域頂級期刊J. Combinatorial Theory Series B原執行編輯。目前在包括J. London Math. Soc.；J. Combinatorial Theory Series B；Combinatorica；J. Graph Theory；SIAM J. Discrete Math；European J. Combinatorics 等在内的國際期刊上發表學術論文80餘篇；主持美國各類基金項目十多項；應邀在組合領域各類重要學術會議上作學術報告40餘次。