Generalized adjacency and Laplacian spectra of the weighted corona graphs

Meifeng Dai, Junjie Shen, Lingfei Dai, Tingting Ju, Yongbo Hou and Weiyi Su

Physica A: Statistical Mechanics and its Applications, 2019, vol. 528, issue C

Abstract: Recently, corona product graphs have attracted a great deal of attention from scientific communities, such as coding theory, frequency assignment, mathematical chemistry. Meanwhile, weight factor gradually became a research hotpoint because of closing to reality. Hence, we introduce the weighted corona graphs in this paper. The weighted corona product graphs are the in-depth and promotion of the corona product graphs, linking the spectra between the initial graph and the product graph. Then, we deduce the complete information of generalized adjacency and Laplacian eigenvalues of the weighted product graph with different structures. And we generalize the results obtained previously into product corona graph with m(⩾1) iterations.

Keywords: Weighted corona graph; Generalized adjacency matrix; Laplacian spectrum (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:528:y:2019:i:c:s0378437119307526

DOI: 10.1016/j.physa.2019.121285

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