Document type
ArticleVersion
Published versionPublication date
All rights reserved
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/119622
Role of adjacency-matrix degeneracy in maximum-entropy-weighted network models
Journal Title
Director/Tutor
Journal ISSN
Volume Title
Related resource
Abstract
Complex network null models based on entropy maximization are becoming a powerful tool to characterize and analyze data from real systems. However, it is not easy to extract good and unbiased information from these models: A proper understanding of the nature of the underlying events represented in them is crucial. In this paper we emphasize this fact stressing how an accurate counting of configurations compatible with given constraints is fundamental to build good null models for the case of networks with integer-valued adjacency matrices constructed from an aggregation of one or multiple layers. We show how different assumptions about the elements from which the networks are built give rise to distinctively different statistics, even when considering the same observables to match those of real data. We illustrate our findings by applying the formalism to three data sets using an open-source software package accompanying the present work and demonstrate how such differences are clearly seen when measuring network observables.
Subject
Subject (English)
Citation
Citation
SAGARRA PASCUAL, Oleguer Josep, PÉREZ-VICENTE, Conrado and DÍAZ GUILERA, Albert. Role of adjacency-matrix degeneracy in maximum-entropy-weighted network models. Physical Review E. 2015. Vol. 92, num. 5, pags. 052816-1-052816-11. ISSN 1539-3755. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/119622