Congruences and Hoehnke radicals on graphs

Loading...
Thumbnail Image

Date

Authors

Broere, Izak
Heidema, Johannes
Veldsman, Stefan

Journal Title

Journal ISSN

Volume Title

Publisher

Sciendo

Abstract

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).

Description

Keywords

Kurosh-Amitsur radicals of graphs, Subdirect representations of graphs, Congruences of graphs, Quotients of graphs, Connectednesses of graphs, Disconnectednesses of graphs

Sustainable Development Goals

Citation

Broere, I., Heidema, J. & Veldsman, S. 2020, 'Congruences and Hoehnke radicals on graphs', Discussiones Mathematicae Graph Theory, vol. 40, no. 4, pp. 1067-1084.