Count Cayley - a graph that is built on a group with a dedicated system of generators. Named after Arthur Cayley .
Let a discrete group be given and system of generators .
Suppose , that is, for each .
Earl Cayley Group according to the system of generators is a graph whose vertices are the elements of the group and the element connected by an edge exactly with those elements that are obtained by multiplication per element from .
Note: In case instead take a pool .
Cayley graph of a free group with two generators a and b
Count Cayley free artwork
Count Cayley direct artwork
- Pythagoras tree