Semigroups of transformations and endomorphisms have emerged as powerful algebraic frameworks to elucidate the underlying structures of graphs. By harnessing the principles of semigroup theory ...

Transformations of Functions This applet will help you in visualizing the effects of transformations on functions. Move the sliders on the right to change the translation and scaling factors.

In this paper we characterize completely the connected components of the power graph of the full transformation semigroup 𝒯𝑋 on a finite set 𝑋 and provide the necessary and sufficient conditions ...

R. H. Crowell, Graphs of Linear Transformations over Finite Fields, Journal of the Society for Industrial and Applied Mathematics, Vol. 10, No. 1 (Mar., 1962), pp ...

Transformations may seem simple, but they underlie lots of more complex math concepts. For many students, these exercises are tedious, as they involve plotting many points on graphs to move a ...