Leading eigenvalues of adjacency matrices of star-like graphs with fixed numbers of vertices and edges

For a sequence of adjacency matrices, describing the unfolding of a network from the graph of a star, through graphs of a broom, to the graph of a link with constant vertices and edges, we show that the leading eigenvalue (the spectral radius) satisfies a simple algebraic equation. The equation allo...

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Bibliographic Details
Main Authors: William D. Fries, Miaohua Jiang
Format: Article
Language:English
Published: Taylor & Francis Group 2019-01-01
Series:Cogent Mathematics & Statistics
Subjects:
Online Access:http://dx.doi.org/10.1080/25742558.2019.1628513