@article {
author = {Belardo, Francesco and Brunetti, Maurizio},
title = {On eigenspaces of some compound complex unit gain graphs},
journal = {Transactions on Combinatorics},
volume = {11},
number = {3},
pages = {131-152},
year = {2022},
publisher = {University of Isfahan},
issn = {2251-8657},
eissn = {2251-8665},
doi = {10.22108/toc.2021.130013.1888},
abstract = {Let $\mathbb T$ be the multiplicative group of complex units, and let $L(\Phi)$ denote the Laplacian matrix of a nonempty $\mathbb{T}$-gain graph $\Phi=(\Gamma, \mathbb{T}, \gamma)$. The gain line graph $\mathcal L(\Phi)$ and the gain subdivision graph $\mathcal S(\Phi)$ are defined up to switching equivalence. We discuss how the eigenspaces determined by the adjacency eigenvalues of $\mathcal L(\Phi)$ and $\mathcal S(\Phi)$ are related with those of $L(\Phi)$.},
keywords = {Complex unit gain graph,line graph,subdivision graph,oriented gain graph,voltage graph},
url = {https://toc.ui.ac.ir/article_26186.html},
eprint = {https://toc.ui.ac.ir/article_26186_7cda6704cc1ac86a1b0dd67b9c41a199.pdf}
}