I. Broere, S. Veldsman
Congruences and Hoehnke radicals on graphs
Discussiones Mathematicae Graph Theory
Received 10.04.2018, Revised 28.06.2018, Accepted 28.06.2018, doi: 10.7151/dmgt.2166
We motivate, introduce, and study radicals on classes of graphs. This concept, and the theory which is developed, imitates the original notion of a Hoehnke radical in universal algebra using congruences. It is shown how this approach ties in with the existing theory of connectednesses and disconnectednesses (= Kurosh-Amitsur radical theory).
congruences and quotients of graphs, Hoehnke radicals of graphs, connectednesses and disconnectednesses of graphs, Kurosh-Amitsur radicals of graphs, subdirect representations of graphs