Fig. 4: Contribution and k-balance profiles in four real-world networks.
From: Polarization and multiscale structural balance in signed networks

See “Methods: Network datasets” for dataset descriptions. Measures obtained with the original Walk Balance (WB) approach of Estrada and Benzi4 are labeled as β = 1, and Multiscale Semiwalk Balance (MSB) measures as \({\beta }_{\max }\). Approximations based on m = 10 leading eigenvalues from both ends of the spectrum were used. Numbers of nodes are denoted by n, and DoB values according to WB and MSB approaches by B(1) and \(B({\beta }_{\max })\) respectively. a Contribution scores at different closed walk lengths. In the case of the WB approach peaks of the contribution profiles are marked with stars. b Balance scores at different closed walk lengths.