KONECT
KONECT > Plots > Top-k eigenvalues

## Top-k Eigenvalues

The eigenvalues of a network's characteristic matrices $$\mathbf A$$, $$\mathbf N$$ and $$\mathbf L$$ are often used to characterize the network as a whole. KONECT supports computing and visualizing the spectrum (i.e., the set of eigenvalues) of a network in multiple ways. Two types of plots are supported: Those showing the top-$$k$$ eigenvalues computed exactly, and those showing the overall distribution of eigenvalues, computed approximately. The eigenvalues of $$\mathbf A$$ are positive and negative reals, the eigenvalues of $$\mathbf N$$ are in the range $$[-1,+1]$$, and the eigenvalues of $$\mathbf L$$ are all nonnegative. For $$\mathbf A$$ and $$\mathbf N$$, the largest absolute eigenvalues are used, while for $$\mathbf L$$ the smallest eigenvalues are used.