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math.CO2021
Bounds for the extremal eigenvalues of gain Laplacian matrices
M. Rajesh Kannan, Navish Kumar, Shivaramakrishna Pragada
A complex unit gain graph (-gain graph), is a graph where the function assigns a unit complex number to each orientation of an edge of , and its inve…
math.CO2020
Normalized Laplacians for Gain Graphs
M. Rajesh Kannan, Navish Kumar, Shivaramakrishna Pragada
We propose the notion of normalized Laplacian matrix for a gain graphs and study its properties in detail, providing insights and counterexamples along the way. We…