Title of article
On eigenspaces of some compound complex unit gain graphs
Author/Authors
Belardo, Francesco Maurizio Brunetti Dipartimento di Matematica e Applicazioni - Università di Napoli ‘Federico II’, Naples, Italy , Brunetti, Maurizio Maurizio Brunetti Dipartimento di Matematica e Applicazioni - Università di Napoli ‘Federico II’, Naples, Italy
Pages
22
From page
131
To page
152
Abstract
Let be the multiplicative group of complex units, and let L∮ denote the Laplacian matrix of a nonempty -gain graph ∮= ( Γ,T,) The gain line graph and the gain subdivision graph ∮ are defined up to switching equivalence. We discuss how the eigenspaces determined by the adjacency eigenvalues of ∮ and S∮ are related with those of L∮.
Keywords
Complex unit gain graph , line graph , subdivision graph , oriented gain graph , voltage graph
Journal title
Transactions on Combinatorics
Serial Year
2022
Record number
2731896
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