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Normalized Laplacian spectrum of some generalized subdivision-corona of two regular graphs

Published 11 Jul 2018 in math.CO and math.SP | (1807.03939v1)

Abstract: In this paper, we determine the two normalized Laplacian spectrum of generalized subdivision- vertex corona, subdivision-edge corona for a connected regular graph with an arbitrary reg- ular graph in terms of their normalized Laplacian eigenvalues. Moreover, applying these results, we find some non-regular normaliaed Laplacian cospectral graphs. These results generalize the existing results in [11].

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