Cayleylike
Cayleylike is an adjective used in mathematics to describe objects, structures, or methods that resemble aspects of Arthur Cayley's work in algebra, particularly the representation of algebraic structures via generators and relations and the use of graph-theoretic constructions to encode group actions. In practice, a construction is described as Cayleylike when it can be framed by a finite generating set together with a set of relations that govern how the generators interact, enabling systematic generation of elements or states by successive applications of the generators.
Key features often associated with Cayleylike constructions include regularity or vertex transitivity, a high degree of
Common examples cited as Cayleylike are Cayley graphs themselves, such as cycle graphs C_n and hypercubes Q_n,
Notes: the term is informal and context-dependent; it is not a standard technical designation in all subfields.