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dc.contributor.authorKrapež, Aleksandaren
dc.contributor.authorŽivković, Dejanen
dc.date.accessioned2020-05-02T16:41:50Z-
dc.date.available2020-05-02T16:41:50Z-
dc.date.issued2010-10-14en
dc.identifier.issn0350-1302en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2359-
dc.description.abstractFedir M. Sokhats'kyi recently posed four problems concerning parastrophic equivalence between generalized quasigroup functional equations. Sava Krstić in his PhD thesis established a connection between generalized quadratic quasigroup functional equations and connected cubic graphs. We use this connection to solve two of Sokhats'kyi's problems, giving also complete characterization of parastrophic cancellability of quadratic equations and reducing the problem of their classification to the problem of classification of connected cubic graphs. Further, we give formulas for the number of quadratic equations with a given number of variables. Finally, we solve all equations with two variables.en
dc.publisherMathematical Institute of the SASA-
dc.relationMinistry of Science and Technology of Serbia, Grants 144013 and 144018-
dc.relation.ispartofPublications de l'Institut Mathematiqueen
dc.subjectCubic graph | Parastrophic cancellability | Parastrophic equivalence | Quadratic functional equation | Quasigroupen
dc.titleParastrophically equivalent quasigroup equationsen
dc.typeArticleen
dc.identifier.doi10.2298/PIM1001039Ken
dc.identifier.scopus2-s2.0-77957732304en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage39en
dc.relation.lastpage58en
dc.relation.issue101en
dc.relation.volume87en
dc.description.rankM24-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairetypeArticle-
crisitem.author.orcid0000-0002-9533-1739-
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