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dc.contributor.authorKrapež, Aleksandaren
dc.contributor.authorSimić, Slobodanen
dc.contributor.authorTošić, Dejanen
dc.date.accessioned2020-05-01T20:12:49Z-
dc.date.available2020-05-01T20:12:49Z-
dc.date.issued2010-05-13en
dc.identifier.issn0001-9054en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/1149-
dc.description.abstractKrstić initiated the use of cubic graphs in solving quasigroup equations. Based on his work, Krapež and Živković proved that there is a bijective correspondence between classes of parastrophically equivalent parastrophically uncancellable generalized quadratic functional equations on quasigroups and three-connected cubic (multi)graphs. We use the list of such graphs given in the literature to verify existing results on equations with three, four and five variables and to prove new results for equations with six variables. We start with 14 nonisomorphic graphs with ten vertices, choose a set of 14 representative parastrophically nonequivalent equations and give their general solutions. A case of equations with seven and more variables is briefly discussed. The problem of Sokhats'kyi concerning a property which distinguishes visually two parastrophically nonequivalent equations with four variables is solved.en
dc.publisherSpringer Link-
dc.relationMinistry of Science and Technological Development of Serbia, Projects 144013, 144018 and 144015-
dc.relation.ispartofAequationes Mathematicaeen
dc.subjectCubic graph | Parastrophic cancellability | Parastrophic equivalence | Quadratic functional equation | Quasigroupen
dc.titleParastrophically uncancellable quasigroup equationsen
dc.typeArticleen
dc.identifier.doi10.1007/s00010-010-0016-3en
dc.identifier.scopus2-s2.0-77954315911en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage261en
dc.relation.lastpage280en
dc.relation.issue3en
dc.relation.volume79en
dc.description.rankM21-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0002-9533-1739-
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