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arXiv · 1304.1221

Unicyclic Graphs with equal Laplacian Energy

Eliseu Fritscher·Carlos Hoppen·Vilmar Trevisan
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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.

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Eliseu Fritscher, Carlos Hoppen, Vilmar Trevisan. 2013-04-04. Unicyclic Graphs with equal Laplacian Energy. https://doi.org/10.1080/03081087.2013.766395

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