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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2018 Volume 15, Pages 223–245 (Mi semr913)
This article is cited in 3 papers

Discrete mathematics and mathematical cybernetics

Eigenfunctions supports of minimum cardinality in cubical distance-regular graphs

E. V. Sotnikova

Sobolev Institute of Mathematics, 4 Acad. Koptyug avenue, 630090, Novosibirsk, Russia

Abstract: In this paper we focus on cubical distance-regular graphs and for 10 of them we find eigenfunctions with the minimum number of nonzero positions and provide the classification of their possible structures.

Keywords: eigenfunctions, minimum supports, distance-regular graphs, cubical graphs.

UDC: 519.177

MSC: 05C50

Received November 9, 2016, published March 16, 2018

Language: English

DOI: 10.17377/semi.2018.15.022



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