Abstract
In this paper, we determine the full normalized Laplacian spectrum of the subdivision-vertex corona, subdivision-edge corona, subdivision-vertex neighbourhood corona and subdivision-edge neighbourhood corona of a connected regular graph with an arbitrary regular graph in terms of their normalized Laplacian eigenvalues. Moreover, applying these results, we find some non-regular normalized Laplacian cospectral graphs.
Acknowledgements
The authors are thankful to the referee and the editor for their valuable comments and suggestions which improved the presentation of the paper.
Notes
No potential conflict of interest was reported by the authors.