Spectra of generalized windmill networks: Analytical solutions and applications

Yunhua Liao, M. A. Aziz-Alaoui and Yu Chen
Additional contact information
Yunhua Liao: Department of Mathematics, Hunan University of Technology and Business, Changsha 410205, P. R. China†Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, Le Havre 76600, France‡Key Laboratory of Hunan Province for Statistical Learning and Intelligent Computation, Changsha 410205, P. R. China
M. A. Aziz-Alaoui: #x2020;Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, Le Havre 76600, France
Yu Chen: #xA7;Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 11, 1-14

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.

Keywords: Windmill networks; graph spectra; Laplacian spectra; metro network (search for similar items in EconPapers)
Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183120501594
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:31:y:2020:i:11:n:s0129183120501594

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183120501594

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().