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

Combinatorics 2018-07-12 v1 Spectral Theory

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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Cite

@article{arxiv.1807.03939,
  title  = {Normalized Laplacian spectrum of some generalized subdivision-corona of two regular graphs},
  author = {Qun Liu and Zhongzhi Zhang},
  journal= {arXiv preprint arXiv:1807.03939},
  year   = {2018}
}

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10 pages