%0 Journal Article
%T On eigenspaces of some compound complex unit gain graphs
%J Transactions on Combinatorics
%I University of Isfahan
%Z 2251-8657
%A Belardo, Francesco
%A Brunetti, Maurizio
%D 2022
%\ 09/01/2022
%V 11
%N 3
%P 131-152
%! On eigenspaces of some compound complex unit gain graphs
%K Complex unit gain graph
%K line graph
%K subdivision graph
%K oriented gain graph
%K voltage graph
%R 10.22108/toc.2021.130013.1888
%X 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 $L(\Phi)$.
%U https://toc.ui.ac.ir/article_26186_7cda6704cc1ac86a1b0dd67b9c41a199.pdf