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Equitable partitions of Latin-square graphs

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dc.contributor.authorBailey, R. A.
dc.contributor.authorCameron, Peter J.
dc.contributor.authorGavrilyuk, Alexander L.
dc.contributor.authorGoryainov, Sergey V.
dc.date.accessioned2019-12-03T00:37:01Z
dc.date.available2019-12-03T00:37:01Z
dc.date.issued2019-03-01
dc.identifier255781347
dc.identifier98bf50bb-9559-43c4-89b0-90d85bd60fb0
dc.identifier85058007454
dc.identifier000461099400002
dc.identifier.citationBailey , R A , Cameron , P J , Gavrilyuk , A L & Goryainov , S V 2019 , ' Equitable partitions of Latin-square graphs ' , Journal of Combinatorial Designs , vol. 27 , no. 3 , pp. 142-160 . https://doi.org/10.1002/jcd.21634en
dc.identifier.issn1063-8539
dc.identifier.otherORCID: /0000-0002-8990-2099/work/51470231
dc.identifier.otherORCID: /0000-0003-3130-9505/work/58055766
dc.identifier.urihttps://hdl.handle.net/10023/19043
dc.descriptionFunding: R.A. Bailey and Peter J. Cameron are grateful to Shanghai Jiao Tong University for funding, from the National Science Foundation of China (11671258) and STCSM (17690740800), a research visit where part of this study was done. Alexander L. Gavrilyuk was supported by BK21plus Center for Math Research and Education at Pusan National University, Republic of Korea. Sergey V. Goryainov was supported by the National Science Foundation of China, STCSM (17690740800) and RFBR (17‐51‐560008).en
dc.description.abstractWe study equitable partitions of Latin-square graphs and give a complete classification of those whose quotient matrix does not have an eigenvalue -3.
dc.format.extent300508
dc.language.isoeng
dc.relation.ispartofJournal of Combinatorial Designsen
dc.subjectCayley tableen
dc.subjectEigenvalueen
dc.subjectEquitable partitionen
dc.subjectLatin-square graphen
dc.subjectQA Mathematicsen
dc.subjectMathematics(all)en
dc.subjectT-NDASen
dc.subjectBDCen
dc.subject.lccQAen
dc.titleEquitable partitions of Latin-square graphsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.contributor.institutionUniversity of St Andrews. Statisticsen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doi10.1002/jcd.21634
dc.description.statusPeer revieweden
dc.date.embargoedUntil2019-12-03


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