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{ "pk": 64954, "title": "Every group-embeddable monoid arises as the bimorphism monoid of some graph", "subtitle": null, "abstract": "Generalizing results of Frucht and de Groot/Sabidussi, we demonstrate that every group-embeddable monoid is isomorphic to the bimorphism monoid of some graph.\n \nMathematics Subject Classifications: 05C63, 20M30\n \nKeywords: Infinite graph theory, group-embeddable monoids, bimorphism monoids", "language": "en", "license": { "name": "Creative Commons Attribution 4.0", "short_name": "CC BY 4.0", "text": "Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.", "url": "https://creativecommons.org/licenses/by/4.0" }, "keywords": [ { "word": "Infinite graph theory" }, { "word": "group-embeddable monoids" }, { "word": "bimorphism monoids" } ], "section": "Research Articles", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/35d2v8t6", "frozenauthors": [ { "first_name": "Thomas", "middle_name": "D.", "last_name": "H. Coleman", "name_suffix": "", "institution": "School of Mathematics and Statistics, University of St Andrews, St Andrews, U.K.", "department": "" }, { "first_name": "Isaac", "middle_name": "K.", "last_name": "Dilley", "name_suffix": "", "institution": "School of Mathematics and Statistics, University of St Andrews, St Andrews, U.K.", "department": "" } ], "date_submitted": "2024-09-26T16:30:21+02:00", "date_accepted": "2024-09-26T16:30:21+02:00", "date_published": "2024-09-30T09:00:00+02:00", "render_galley": null, "galleys": [ { "label": "", "type": "pdf", "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64954/galley/49764/download/" } ] }