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
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
