Title
Minimum supports of eigenfunctions of Johnson graphs.
Abstract
We study the weights of eigenvectors of the Johnson graphs J(n,w). For any i∈{1,…,w} and sufficiently large n,n≥n(i,w) we show that an eigenvector of J(n,w) with the eigenvalue λi=(n−w−i)(w−i)−i has at least 2in−2iw−i nonzeros and obtain a characterization of eigenvectors that attain the bound.
Year
DOI
Venue
2018
10.1016/j.disc.2018.04.018
Discrete Mathematics
Keywords
Field
DocType
Johnson scheme,Eigenspace,Support of a function
Discrete mathematics,Graph,Combinatorics,Eigenfunction,Eigenvalues and eigenvectors,Mathematics,Lambda
Journal
Volume
Issue
ISSN
341
8
0012-365X
Citations 
PageRank 
References 
2
0.44
5
Authors
3
Name
Order
Citations
PageRank
Konstantin Vorob'ev120.44
Ivan Yu. Mogilnykh2368.74
Alexandr Valyuzhenich3163.37