Geodesic
MMS-type problems for Johnson scheme
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1663-1670

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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: Johnson scheme, Eberlein polynomials.
Mots-clés : eigenspace, equitable partition, MMS-conjecture 
@article{SEMR_2018_15_a82,
     author = {I. Yu. Mogilnykh and K. V. Vorob'ev and A. A. Valyuzhenich},
     title = {MMS-type problems for {Johnson} scheme},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1663--1670},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a82/}
}
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I. Yu. Mogilnykh; K. V. Vorob'ev; A. A. Valyuzhenich. MMS-type problems for Johnson scheme. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1663-1670. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a82/