2020
DOI: 10.1142/s0129183120501594
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Spectra of generalized windmill networks: Analytical solutions and applications

Abstract: The generalized windmill graphs are good models for many real-world networks. In this paper, we obtain analytic expressions for the eigenvalues of the adjacency matrices and of the Laplacian matrices of the generalized windmill graphs. Using this information, we study some structural and dynamical properties of these graphs. To the end, we investigate the metro networks of four France cities and propose our suggestions for the planning of public transport networks.

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Cited by 2 publications
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