Interlacing families and the Hermitian spectral norm of digraphs

It is proved that for any finite connected graph $G$, there exists an orientation of $G$ such that the spectral radius of the corresponding Hermitian adjacency matrix is smaller or equal to the spectral radius of the universal cover of $G$ (with equality if and only if $G$ is a tree). This resolv...

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Bibliographic Details
Main Authors: Greaves, Gary Royden Watson, Mohar, Bojan, O, Suil
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2021
Subjects:
Online Access:https://hdl.handle.net/10356/146676
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Institution: Nanyang Technological University
Language: English