Cayley graph interpretation D3 - Mathematics Stack Exchange
2016年9月13日 · I am trying to understand the Cayley graph for the group $D_3$, which from Mathematica, I got: I tried to get the multiplication table in Mathematica: $\left( \begin{array}{cccccc} 1 & 2 &am...
Dihedral group of order 6 - Wikipedia
Cayley table as general (and special) linear group GL(2, 2) In mathematics , D 3 (sometimes alternatively denoted by D 6 ) is the dihedral group of degree 3 and order 6. It equals the symmetric group S 3 .
读书报告 | 谱图理论 Ch7: Cayley Graphs - 知乎 - 知乎专栏
上期专栏中介绍的环形图和超立方体是典型的 凯莱图 （Caley graph）。 一般地，凯莱图的顶点是某个群 \Gamma 中的元素。 以 环状图 为例，该群是整数模 n 的集合。
Cayley Diagrams are one of many representations of finite groups. They provide a means of representing a group diagrammatically and various properties of groups including commutativity can be extracted from the graph.
Cayley Graph -- from Wolfram MathWorld
2024年12月18日 · It turns out that this graph is a directed version of the unique cubic symmetric graph on 24 vertices (right figure). Royle has constructed all cubic Cayley graphs up to 1000 vertices, excluding those on 512 and 768 vertices. The Cayley graphs of infinite groups provide interesting geometries.
Cayley图 - 百度百科
在数学中，Cayley图，即凯莱图，也称作凯莱着色图，是编码离散群的图。 它的定义是凯莱定理（以阿瑟·凯莱命名）所暗含的，并使用这个群的特定的通常有限的生成元集合。
Cayley graph - Wikipedia
In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, [1] is a graph that encodes the abstract structure of a group. Its definition is suggested by Cayley's theorem (named after Arthur Cayley), and uses a specified set of generators for the group.
We turn now to the problem of recognizing whether a given graph is Cayley. A graph is said to be vertex transitive if its automorphism group acts transitively on the vertices. Note that a vertex transitive graph is necessarily regular. For a Cayley graph C(H;S), left multiplication induces a simply transitive action of Hon C(H;S) by graph ...
Cayley graphs give a way of encoding information about group in a graph. Given a group with a, typically nite, generating set, we can form a Cayley Graph for that group with respect to that generating set. Most of the information found here is taken from John Meier's, Groups Graphs and Trees, [1]. 1. Cayley Graphs.
Cayley graph is a colored graph, which was introduced by Cayley in 1878 as a graphic representation of abstract groups. A group is a set of elements together with an operation that combines any two of its elements to form a third element. The set and operation must satisfy group axioms, namely associativity, identity and inverse elements.