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, ...

A translation is a movement of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. The graph of \(f(x) = x^2\) is the same as the graph of \(y = x^2\).

This is a preview. Log in through your library . Abstract Let TX be the full transformation semigroup on the set X and let S be a subsemigroup of TX. We may associate ...

LUTZ, FL—August 20, 2014—Xplor International, the worldwide electronic document systems association, has announced the sponsors of the Xplor at GRAPH EXPO event being held Sept. 30, 2014, during the ...