File contains the zipped set of figures for this paper in PNG format.

S4_1_Fig.png: Distribution of objects in the space spanned by the eigenvectors of combinatorial Laplacian corresponding to some of the lowest eigenvalues (no. 1490 and 1488)—TWT.PL dataset: in two corners there are two objects, while the rest is located in the third corner (mass concentration). The positions of datapoints are slightly blurred so that the mass concentration is visible. S4_2_Fig.png: The artificial data set BLK.4_0.2_0.5—adjacency matrix for documents S4_3_Fig.png: S4_3_FigButtom.png: Mass of the element with the largest mass in the eigenvector. Eigenvectors are ordered by decreasing eigenvalue. Top figure: the entire spectrum. Bottom figure: only the 50 eigenvectors corresponding to 50 lowest eigenvalues. English Twitter data TWT.EN. S4_4_Fig.png: S4_4_FigButtom.png: Number of highest mass elements of eigenvectors constituting half mass of the eigenvector. English Twitter data TWT.EN. Top: all eigenvectors. Bottom: 50 eigenvectors with the lowest eigenvalue. S4_5_Fig.png: S4_5_FigButtom.png: Relative error among the elements of eigenvector constituting its halfmass (standard error divided by the mean). English Twitter data TWT.EN. Top: all eigenvectors. Bottom: 50 eigenvectors with the lowest eigenvalue. S4_6_Fig.png: S4_6_FigButtom.png: Eigenvalue distributions for the entire dataset (the black dots) and for the classes (lines with different colors) for combinatorial (top) and normalized (bottom) graph Laplacian. English Twitter data TWT.EN. On the bottom, ten lowest eigenvalues were omitted for better readability. S4_7_Fig.png: Combinatorial Laplacian of the entire TWT.PL data set (thick line) and of each of the classes. S4_8_Fig.png: Combinatorial Laplacian spectrum of the class #pizgaczhell of TWT.PL data set and of samples of size 25%, 50% and 75%. S4_9_Fig.png: Combinatorial Laplacian spectrum of the class #pizgaczhell of TWT.PL data set and several samples of size 50%. S4_10_Fig.png: Combinatorial Laplacian spectrum of the class #pizgaczhell of TWT.PL data set and several samples of same size (size of the smallest class) from different classes. S4_11_Fig.png: Spectral normalization in the Combinatorial Laplacian Relative Lambda Method method. The TWT.PL dataset S4_12_Fig.png: Spectral normalization in the Combinatorial Laplacian Sample Size Adjusted Lambda Method method and Combinatorial Laplacian Sample Size Adjusted Maximum Lambda Method method. The TWT.PL dataset. S4_13_Fig.png: Spectral normalization in the Normalized Laplacian Method method The TWT.PL dataset. S4_14_Fig.png: Effects of similarity perturbation within a class of data. Upper line represents the maximal quotient and the lower line represents the minimal quotient of eigenvalues after and before perturbing the similarity matrix, as described in the text, depending on the maximal similarity decrease factor. ANO.8 dataset.
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