报告学者：Young Soo Kwon教授

报告者单位：韩国岭南大学

报告时间：2024年4月18日（周四）17:00-18:00

报告地点：学活十层1005会议室

报告摘要：  For a map M, if there exists a subgroup H of Aut(M) acting regularly on the vertex set of the underlying graph, the map M is called a Cayley map on H. A Cayley map on can be described by triple (H, X, p), where X is a inverse closed subset of H and p is a cyclic permutation of X. Aut(M) is always a complementary product of \tilde{H} and a cyclic group, where \tilde{H} is isomorphic to H. So Aut(M) is always related to skew-morphism of H. In this talk, we will consider these relations .

For a map M, if if there exists a subgroup H of Aut(M) acting semi-regularly on the vertex set of the underlying graph and this action has two orbits, the map M is called a bi-Cayley map on H. In this talk, we will consider bi-Cayley maps whose underlying graph is bipartite. These bi-Cayley map can be described by quadruple (H, X, p, q), where X is a subset of H and p(q, resp.) is a cyclic permutation of X (X^{-1}, resp.). For such bi-Cayley maps, we will consider edge-transitivity, regularity and reflexibility.

报告人简介：Young Soo Kwon，韩国岭南大学教授，博导。Kwon教授是韩国组合数学领域中青年杰出代表，多次获得韩国国家研究基金（NRF）资助。在正则地图领域是国际知名专家，在图的正则嵌入方面有多项重要贡献。目前已发表高水平学术论文60余篇，其中包括组合数学领域顶级刊物JCTB上6篇，图论领域顶级刊物J. Graph Theory上3篇，代数组合领域顶级刊物J. Algebr. Comb.上4篇。