Item

Symmetry in complex unit gain graphs and their spectra

Wissing,Pepijn
; 
van Dam,Edwin R.
Abstract
Complex unit gain graphs may exhibit various kinds of symmetry. In this work, we explore structural symmetry, spectral symmetry and sign-symmetry in such graphs, and their respective relations to one-another. Our main result is a construction that transforms an arbitrary complex unit gain graph into infinitely many switching-distinct ones whose spectral symmetry does not imply sign-symmetry. This provides a more general answer to the analogue of an existence question that was recently treated in the context of signed graphs. (c) 2025 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).
Description
Date
2025-10-01
Journal Title
Journal ISSN
Volume Title
Publisher
Collections
Tilburg University Research Output Collection
Show all metadata
Research Projects
Organizational Units
Journal Issue
Keywords
Complex unit gain graph, Eigenvalues, Symmetry
Citation
Wissing, P & van Dam, E R 2025, 'Symmetry in complex unit gain graphs and their spectra', Linear Algebra and its Applications, vol. 722, pp. 164-177. https://doi.org/10.1016/j.laa.2025.05.012
URI
https://hdl.handle.net/20.500.14602/103165
Embedded videos