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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
University of Zielona Góra
2020-05-01
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Series: | Discussiones Mathematicae Graph Theory |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgt.2281 |