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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 1663–1670
DOI: https://doi.org/10.33048/semi.2018.15.137 (Mi semr1026) 		 
Discrete mathematics and mathematical cybernetics

MMS-type problems for Johnson scheme

I. Yu. Mogilnykhab, K. V. Vorob'evab, A. A. Valyuzhenichab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, st. Pirogova, 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/semi.2018.15.137
Abstract: In the current work we consider the minimization problems for the number of nonzero or negative values of vectors from the first and second eigenspaces of the Johnson scheme respectively. The topic is a meeting point for generalizations of the Manikam-Miklós-Singhi conjecture and the minimum support problem for the eigenspaces of the Johnson graph, asymptotically solved in [16].
Keywords: eigenspace, equitable partition, MMS-conjecture, Johnson scheme, Eberlein polynomials.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00126
The reported study was funded by RFBR according to the research project № 18-31-00126.
Received October 10, 2018, published December 17, 2018
Bibliographic databases:
Document Type: Article
UDC: 519.1
MSC: 05E30
Language: English
Citation: I. Yu. Mogilnykh, K. V. Vorob'ev, A. A. Valyuzhenich, “MMS-type problems for Johnson scheme”, Sib. Èlektron. Mat. Izv., 15 (2018), 1663–1670
Citation in format AMSBIB
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\by I.~Yu.~Mogilnykh, K.~V.~Vorob'ev, A.~A.~Valyuzhenich
\paper MMS-type problems for Johnson scheme
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 1663--1670
\mathnet{http://mi.mathnet.ru/semr1026}
\crossref{https://doi.org/10.33048/semi.2018.15.137}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454860200077}
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