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What can graphs and algebraic structures say to each other?
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dc.contributor.author | Cameron, Peter J. | |
dc.date.accessioned | 2023-12-15T10:30:09Z | |
dc.date.available | 2023-12-15T10:30:09Z | |
dc.date.issued | 2023-12-14 | |
dc.identifier | 296868534 | |
dc.identifier | 1f9c092d-7b9f-46b7-a3c1-c374f7674a71 | |
dc.identifier | 85179713280 | |
dc.identifier.citation | Cameron , P J 2023 , ' What can graphs and algebraic structures say to each other? ' , AKCE International Journal of Graphs and Combinatorics , vol. Latest Articles . https://doi.org/10.1080/09728600.2023.2290036 | en |
dc.identifier.issn | 0972-8600 | |
dc.identifier.other | ORCID: /0000-0003-3130-9505/work/148888003 | |
dc.identifier.uri | https://hdl.handle.net/10023/28877 | |
dc.description.abstract | In the last couple of decades, there has been a big upsurge of research on graphs defined on algebraic structures (groups, rings, vector spaces, semigroups, and others). Much of this has concerned detailed graph-theoretic properties and parameters of these graphs. However, my concern here is to consider how this research can benefit both graph theory and algebra. I am mainly concerned with graphs on groups, and will give three types of interaction between graphs and groups, with examples of each taken from recent research. The paper also contains a number of open questions. This talk was presented at the conference ICRAGAA 2023 held in Thrissur in Kerala, India. I am grateful to the organizers of the conference, and also to Ambat Vijayakumar and Aparna Lakshmanan S, who organized a very productive on-line research discussion on graphs and groups in 2021. Much of what I report has its roots in that discussion. I am grateful to them for organizing this discussion, as well as to the conference organizers, and all my many coauthors. | |
dc.format.extent | 6 | |
dc.format.extent | 973948 | |
dc.language.iso | eng | |
dc.relation.ispartof | AKCE International Journal of Graphs and Combinatorics | en |
dc.subject | Graphs | en |
dc.subject | Algebraic structures | en |
dc.subject | Groups | en |
dc.subject | Commuting graph | en |
dc.subject | Power graph | en |
dc.subject | Q Science | en |
dc.subject | Mathematics(all) | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | Q | en |
dc.title | What can graphs and algebraic structures say to each other? | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1080/09728600.2023.2290036 | |
dc.description.status | Peer reviewed | en |
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