Cayley Graphs Without a Bounded Eigenbasis

<jats:title>Abstract</jats:title> <jats:p>Does every $n$-vertex Cayley graph have an orthonormal eigenbasis all of whose coordinates are $O(1/\sqrt{n})$? While the answer is yes for abelian groups, we show that it is no in general. On the other hand, we show that ev...

Full description

Bibliographic Details
Main Authors: Sah, Ashwin, Sawhney, Mehtaab, Zhao, Yufei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Oxford University Press (OUP) 2022
Online Access:https://hdl.handle.net/1721.1/145890