Some adjacency-invariant spaces on products of short cycles
Combinatorics
2020-12-23 v1 Functional Analysis
Abstract
We study certain spaces of vertex functions on the Cayley graphs corresponding to N-fold products of the group of integers modulo m, where m=3, 4, or 5, that are invariant under the adjacency operator that maps a value at a given vertex to each of its neighbors. An application to spatio-spectral limiting, an analogue of time and band limiting, is also discussed.
Keywords
Cite
@article{arxiv.2012.11752,
title = {Some adjacency-invariant spaces on products of short cycles},
author = {Jeffrey A. Hogan and Joseph D. Lakey},
journal= {arXiv preprint arXiv:2012.11752},
year = {2020}
}