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Diskretnyi Analiz i Issledovanie Operatsii, 2013, Volume 20, Issue 5, Pages 3–12 (Mi da742)  
This article is cited in 1 scientific paper (total in 1 paper)

On the embedding of eigenfunctions of the Johnson graph into eigenfunctions of the Hamming graph

K. V. Vorobevab

a Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
b Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
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Abstract: We study a connection between eigenfunctions of the Johnson and Hamming graphs. An eigenfunction of a graph is an eigenvector with a given eigenvalue of its adjacency matrix, therewith an eigenfunction can be zero function. We find a criterion for embedding of the Johnson graph's $J(n,w)$ eigenfunction with a given eigenvalue in a certain Hamming graph's eigenfunction with a given eigenvalue. Bibliogr. 8.
Keywords: hypercube, Johnson and Hamming graphs, eigenvalue.
Received: 13.02.2012
Revised: 09.06.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 1, Pages 136–142
DOI: https://doi.org/10.1134/S1990478914010153
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: K. V. Vorobev, “On the embedding of eigenfunctions of the Johnson graph into eigenfunctions of the Hamming graph”, Diskretn. Anal. Issled. Oper., 20:5 (2013), 3–12; J. Appl. Industr. Math., 8:1 (2014), 136–142
Citation in format AMSBIB
\Bibitem{Vor13}
\by K.~V.~Vorobev
\paper On the embedding of eigenfunctions of the Johnson graph into eigenfunctions of the Hamming graph
\jour Diskretn. Anal. Issled. Oper.
\yr 2013
\vol 20
\issue 5
\pages 3--12
\mathnet{http://mi.mathnet.ru/da742}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3184440}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 1
\pages 136--142
\crossref{https://doi.org/10.1134/S1990478914010153}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894335846}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    References:47
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