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math.CO2024
Inverse eigenvalue problem for Laplacian matrices of a graph
Shaun Fallat, Himanshu Gupta, Jephian C. -H. Lin
For a given graph , we aim to determine the possible realizable spectra for a generalized (or sometimes referred to as a weighted) Laplacian matrix associated with . This new…
math.CO2024
Inverse Fiedler vector problem of a graph
Jephian C. -H. Lin, Mahsa N Shirazi
Given a graph and one of its weighted Laplacian matrix, a Fiedler vector is an eigenvector with respect to the second smallest eigenvalue. The Fiedler vectors have been used widely…