这是群论和图论方向的线上系列报告，我们希望能够促进国内外青年学者（博士生为主）在群论和图论研究上的交流。报告主题分布在（但不限于）以下研究方向：
This is a platform for young group theorists and graph theorists (mostly PhD students) to talk about their research and related topics online. The topic can be anything related to group theory and graph theory, including but not limited to the following.
一般地，系列报告定期于北京时间每周三下午16:00-17:00进行。
Our usual time is Wednesday 16:00-17:00 (GMT+8).
Title: Weakly distance-regular digraphs with \(P\)-polynomial propertys
Speaker: 曾青 Qing Zeng (Beijing Normal University)
Time: 16:00-17:00 (GMT+8), Monday June 17th
Location: Zoom: 616 601 4311 (passcode: gts2024)
Abstract:
Distance-regular graphs are an important class of graphs, which are equivalent to symmetric \(P\)-polynomial association schemes and have close connections to graph theory, finite geometry, coding theory, and design theory. As a directed version of distance-regular graphs, weakly distance-regular digraphs were proposed by Wang and Suzuki in 2003, which correspond to non-symmetric association schemes. In this thesis, we initiate studying weakly distance-regular digraphs with \(P\)-polynomial property, characterize weakly distance-regular digraphs whose attached schemes are \(P\)-polynomial, and classify all commutative weakly distance-regular digraphs whose underlying graphs are Hamming graphs, folded \(n\)-cubes, Doob graphs, and Johnson graphs, respectively.
The seminar is currently based at the Southern University of Science and Technology (SUSTech, 南方科技大学).