We study the effects of animal social networks with a weighted pattern of interactions on the flocking transition exhibited by models of self-organized collective motion. Considering a model representing dynamics on a one-dimensional substrate, application of a heterogeneous mean-field theory provides a phase diagram as function of the heterogeneity of the network connections and the correlations between weights and degree. In this diagram we observe two phases, one corresponding to the presence of a transition and other to a transition suppressed in an always ordered system, already observed in the non-weighted case. Interestingly, a third phase, with no transition in an always disordered state, is also obtained. These predictions, numerically recovered in computer simulations, are also fulfilled for the more realistic Vicsek model, with movement in a two-dimensional space. Additionally, we observe at finite network sizes the presence of a maximum threshold for particular weight configurations, indicating that it is possible to tune weights to achieve a maximum resilience to noise effects. Simulations in real weighted animal social networks show that, in general, the presence of weights diminishes the value of the flocking threshold, thus increasing the fragility of the flocking state. The shift in the threshold is observed to depend on the heterogeneity of the weight pattern.
A Blue Start: A large-scale pairwise and higher-order social network dataset
Network Science Institute, Northeastern University（东北大学网络科学研究所）；Pacific Northwest National Laboratory（太平洋西北国家实验室）；Center for Health Informatics, Boston Children’s Hospital（波士顿儿童医院健康信息学中心）；Department of Communication Studies, Northeastern University（东北大学传播研究系）；Department of Biology, University of Virginia（弗吉尼亚大学生物学系）；School of Data Science, University of Virginia（弗吉尼亚大学数据科学学院）；Vermont Complex Systems Institute, University of Vermont（佛蒙特大学佛蒙特复杂系统研究所）
A Blue Start 数据集通过BlueSky平台提供大规模高阶社交网络数据，包含3970万用户账号和240亿条关系，用于研究高阶网络机制。
Semantic homophily in online communication: evidence from Twitter
Aalto University（阿尔托大学）；University Ss. Cyril and Methodius（圣西里尔与美多德大学）；University of Tampere（坦佩雷大学）；Hong Kong University of Science and Technology（香港科技大学）；New York University（纽约大学）
