Minimal supports of eigenfunctions of Hamming graphs
Alexandr Valyuzhenich
TL;DR
This paper investigates the smallest possible supports of eigenfunctions in Hamming graphs for a specific eigenvalue, providing a detailed characterization of these minimal-support eigenfunctions.
Contribution
It identifies the minimal supports of eigenfunctions for a key eigenvalue in Hamming graphs and describes their structure.
Findings
Determined minimal supports for eigenfunctions with eigenvalue n(q-1)-q.
Characterized eigenfunctions with minimal support.
Enhanced understanding of eigenfunction structure in Hamming graphs.
Abstract
We find minimal supports of eigenfunctions of Hamming graphs for eigenvalue n(q-1)-q and describe eigenfunctions with minimal support.
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Taxonomy
TopicsGraph theory and applications · Finite Group Theory Research · Spectral Theory in Mathematical Physics