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dc.contributor.authorKrapež, Aleksandaren_US
dc.contributor.authorLasković, Bojanaen_US
dc.date.accessioned2024-12-19T10:23:41Z-
dc.date.available2024-12-19T10:23:41Z-
dc.date.issued2024-01-01-
dc.identifier.issn0350-1302-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/5417-
dc.description.abstractIn his PhD thesis, S. Krstić used (multi)graphs to solve generalized quadratic quasigroup functional equations. In particular, he showed the fundamental role of Kuratowski Theorem on planarity of graphs in determining properties of general solutions of such equations. As a first step towards generalization of his results to functional equations on ternary quasigroups, we consider generalized 3-diagonal equation A(B(x, y, z), C(y, u, v), D(z, v, w)) = E(x, u, w). This is one of equations with complete graph K5 as a corresponding graph. General solution of this equation is given, confirming the important role of Kuratowski Theorem in this case as well.en_US
dc.publisherBelgrade : Mathematical Institute of the Serbian Academy of Sciences and Artsen_US
dc.relation.ispartofPublications de l'Institut Mathematiqueen_US
dc.subject(ternary) quasigroup | 3-diagonal equation | general solution | generalized functional equation | Krstić graph | planarity of graphs | quadratic functional equationen_US
dc.title3-DIAGONAL EQUATION AND PLANARITY OF GRAPHSen_US
dc.typeArticleen_US
dc.identifier.doi10.2298/PIM2430001K-
dc.identifier.scopus2-s2.0-85209890276-
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Artsen_US
dc.relation.firstpage1-
dc.relation.lastpage11-
dc.relation.issue130-
dc.relation.volume116-
dc.description.rankM24-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0002-9533-1739-
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