Congruences and hoehnke radicals on graphs

Izak Broere; Johannes Heidema; Stefan Veldsman

doi:10.7151/dmgt.2166

Congruences and hoehnke radicals on graphs

Izak Broere, Johannes Heidema, Stefan Veldsman

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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).

Original language	English
Pages (from-to)	1067-1084
Number of pages	18
Journal	Discussiones Mathematicae - Graph Theory
Volume	40
Issue number	4
DOIs	https://doi.org/10.7151/dmgt.2166
Publication status	Published - Nov 1 2020
Externally published	Yes

Keywords

Congruences and quotients of graphs
Connectednesses and disconnectednesses of graphs
Hoehnke radicals of graphs
Kurosh-Amitsur radicals of graphs
Subdirect representations of graphs

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.7151/dmgt.2166

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AU - Heidema, Johannes

AU - Veldsman, Stefan

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AB - 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).

KW - Congruences and quotients of graphs

KW - Connectednesses and disconnectednesses of graphs

KW - Hoehnke radicals of graphs

KW - Kurosh-Amitsur radicals of graphs

KW - Subdirect representations of graphs

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Congruences and hoehnke radicals on graphs

Abstract

Keywords

ASJC Scopus subject areas

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