Congruences and Hoehnke radicals on graphs
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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
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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.