Balancedness and the Least Laplacian Eigenvalue of Some Complex Unit Gain Graphs

Let 𝕋4 = {±1, ±i} be the subgroup of 4-th roots of unity inside 𝕋, the multiplicative group of complex units. A complex unit gain graph Φ is a simple graph Γ = (V (Γ) = {v1, . . . , vn}, E(Γ)) equipped with a map ϕ:E→(Γ)→𝕋\varphi :\vec E(\Gamma ) \to \mathbb{T} defined on the set of oriented edges s...

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Bibliographic Details
Main Authors: Belardo Francesco, Brunetti Maurizio, Reff Nathan
Format: Article
Language:English
Published: University of Zielona Góra 2020-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2281