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可定向 - 规则地图的手性,属性和简单性

Chirality, genera and simplicity of orientably-regular maps
课程网址: http://videolectures.net/sicgt07_conder_cgas/  
主讲教师: Marston Conder
开课单位: 奥克兰大学
开课时间: 2007-09-07
课程语种: 英语
中文简介:
可定向规则图是在可定向表面中的图或多图的细胞嵌入,具有定向和保留入射的自同构群在嵌入的弧(有序边)上具有单个轨道的特性。我将描述最近计算机辅助确定2至100类表面上的所有此类地图,其揭示了一些有趣的模式,导致关于(a)是手性的和/或(b的实例的范围中的间隙的新发现。 )具有地图或其拓扑对偶具有简单底层图的属性。最后一部分是与Jozef Siran和Tom Tucker的合作。
课程简介: An orientably-regular map is a cellular embedding of a graph or multigraph in an orientable-surface, with the property that the group of orientation- and incidencepreserving automorphisms has a single orbit on the arcs (ordered edges) of the embedding. I will describe a recent computer-assisted determination of all such maps on surfaces of genus 2 to 100, which revealed some interesting patterns, leading to new discoveries about gaps in the genus spectrum of examples that (a) are chiral, and/or (b) have the property that the map or its topological dual has simple underlying graph. The last part is joint work with Jozef Siran and Tom Tucker.
关 键 词: 可定向规则图; 地图; 底层图
课程来源: 视频讲座网
最后编审: 2019-09-17:lxf
阅读次数: 56