Unicyclic Graphs with equal Laplacian Energy
arXiv:1304.1221 · doi:10.1080/03081087.2013.766395
Abstract
We introduce a new operation on a class of graphs with the property that the Laplacian eigenvalues of the input and output graphs are related. Based on this operation, we obtain a family of order (square root of n) noncospectral unicyclic graphs on n vertices with the same Laplacian energy.
11 pages, 11 figures, slightly modified version of Theorem 1 when compared with original paper