Geodesic
On the embedding of eigenfunctions of the Johnson graph into eigenfunctions of the Hamming graph
Diskretnyj analiz i issledovanie operacij, Tome 20 (2013) no. 5, pp. 3-12

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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.
Mots-clés : hypercube
Keywords: Johnson and Hamming graphs, eigenvalue. 
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K. V. Vorobev. On the embedding of eigenfunctions of the Johnson graph into eigenfunctions of the Hamming graph. Diskretnyj analiz i issledovanie operacij, Tome 20 (2013) no. 5, pp. 3-12. http://geodesic.mathdoc.fr/item/DA_2013_20_5_a0/