Unicyclic Graphs with equal Laplacian Energy
classification
🧮 math.CO
cs.DMmath.SP
keywords
graphslaplacianenergyoperationunicyclicclasseigenvaluesequal
read the original 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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