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| dc.contributor.author | Broere, Izak
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| dc.contributor.author | Heidema, Johannes
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| dc.contributor.author | Veldsman, Stefan
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| dc.date.accessioned | 2020-10-29T10:08:15Z | |
| dc.date.available | 2020-10-29T10:08:15Z | |
| dc.date.issued | 2020 | |
| dc.description.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). | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.librarian | pm2020 | en_ZA |
| dc.description.sponsorship | National Research Foundation of South Africa | en_ZA |
| dc.description.uri | https://content.sciendo.com/view/journals/dmgt/dmgt-overview.xml | en_ZA |
| dc.identifier.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. | en_ZA |
| dc.identifier.issn | 1234-3099 (print) | |
| dc.identifier.issn | 2083-5892 (online) | |
| dc.identifier.other | 10.7151/dmgt.2166 | |
| dc.identifier.uri | http://hdl.handle.net/2263/76662 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Sciendo | en_ZA |
| dc.rights | © Authors. This article is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. | en_ZA |
| dc.subject | Kurosh-Amitsur radicals of graphs | en_ZA |
| dc.subject | Subdirect representations of graphs | en_ZA |
| dc.subject | Congruences of graphs | en_ZA |
| dc.subject | Quotients of graphs | en_ZA |
| dc.subject | Connectednesses of graphs | en_ZA |
| dc.subject | Disconnectednesses of graphs | en_ZA |
| dc.title | Congruences and Hoehnke radicals on graphs | en_ZA |
| dc.type | Article | en_ZA |
