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In this paper, we consider a generalized join operation, that is, the H-join on graphs, where H is an arbitrary graph. In terms of the signless Laplacian and the normalized Laplacian, we determine the spectra of the graphs obtained by this operation on regular graphs. Some additional consequences on the spectral radius, integral graphs and cospectral graphs, etc. are also obtained.
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Wu, B., Lou, Y., & He, C. (2014). Signless Laplacian and normalized Laplacian on the H-join operation of graphs. Discrete Mathematics Algorithms and Applications, 06(03), 1450046–1450046. https://doi.org/10.1142/s1793830914500463
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