Equitable partitions of Latin-square graphs

Bailey, R. A.; Cameron, Peter J.; Gavrilyuk, Alexander L.; Goryainov, Sergey V.

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dc.contributor.author	Bailey, R. A.
dc.contributor.author	Cameron, Peter J.
dc.contributor.author	Gavrilyuk, Alexander L.
dc.contributor.author	Goryainov, Sergey V.
dc.date.accessioned	2019-12-03T00:37:01Z
dc.date.available	2019-12-03T00:37:01Z
dc.date.issued	2019-03-01
dc.identifier.citation	Bailey , 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.21634	en
dc.identifier.issn	1063-8539
dc.identifier.other	PURE: 255781347
dc.identifier.other	PURE UUID: 98bf50bb-9559-43c4-89b0-90d85bd60fb0
dc.identifier.other	Scopus: 85058007454
dc.identifier.other	ORCID: /0000-0002-8990-2099/work/51470231
dc.identifier.other	ORCID: /0000-0003-3130-9505/work/58055766
dc.identifier.other	WOS: 000461099400002
dc.identifier.uri	https://hdl.handle.net/10023/19043
dc.description	Funding: 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.abstract	We study equitable partitions of Latin-square graphs and give a complete classification of those whose quotient matrix does not have an eigenvalue -3.
dc.language.iso	eng
dc.relation.ispartof	Journal of Combinatorial Designs	en
dc.rights	Copyright © 2018 Wiley Periodicals, Inc. This work has been made available online in accordance with the publisher’s policies. This is the final published version of the work, which was originally published at https://doi.org/10.1002/jcd.21634	en
dc.subject	Cayley table	en
dc.subject	Eigenvalue	en
dc.subject	Equitable partition	en
dc.subject	Latin-square graph	en
dc.subject	QA Mathematics	en
dc.subject	Mathematics(all)	en
dc.subject	T-NDAS	en
dc.subject	BDC	en
dc.subject.lcc	QA	en
dc.title	Equitable partitions of Latin-square graphs	en
dc.type	Journal article	en
dc.description.version	Postprint	en
dc.contributor.institution	University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra	en
dc.contributor.institution	University of St Andrews. Statistics	en
dc.contributor.institution	University of St Andrews. Pure Mathematics	en
dc.identifier.doi	https://doi.org/10.1002/jcd.21634
dc.description.status	Peer reviewed	en
dc.date.embargoedUntil	2019-12-03

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