Research output: Contribution to journal › Article › peer-review
MMS-type problems for Johnson scheme. / Mogilnykh, Ivan Yurevich; Vorob'ev, Konstantin Vasil evich; Valyuzhenich, Alexandr Andreevich.
In: Сибирские электронные математические известия, Vol. 15, 01.01.2018, p. 1663-1670.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - MMS-type problems for Johnson scheme
AU - Mogilnykh, Ivan Yurevich
AU - Vorob'ev, Konstantin Vasil evich
AU - Valyuzhenich, Alexandr Andreevich
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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].
AB - 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].
KW - Eberlein polynomials
KW - Eigenspace
KW - Equitable partition
KW - Johnson scheme
KW - MMS-conjecture
KW - eigenspace
KW - equitable partition
KW - MMS-conjecture
KW - Johnson scheme
KW - Eberlein polynomials
KW - DISTRIBUTION NUMBERS
UR - http://www.scopus.com/inward/record.url?scp=85071988488&partnerID=8YFLogxK
UR - https://www.elibrary.ru/item.asp?id=36998743
U2 - 10.33048/semi.2018.15.137
DO - 10.33048/semi.2018.15.137
M3 - Article
AN - SCOPUS:85071988488
VL - 15
SP - 1663
EP - 1670
JO - Сибирские электронные математические известия
JF - Сибирские электронные математические известия
SN - 1813-3304
ER -
ID: 21489785