Unicyclic Graphs with equal Laplacian Energy
Combinatorics
2013-04-05 v1 Discrete Mathematics
Spectral Theory
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.
Cite
@article{arxiv.1304.1221,
title = {Unicyclic Graphs with equal Laplacian Energy},
author = {Eliseu Fritscher and Carlos Hoppen and Vilmar Trevisan},
journal= {arXiv preprint arXiv:1304.1221},
year = {2013}
}
Comments
11 pages, 11 figures, slightly modified version of Theorem 1 when compared with original paper