complex cooperative networks from evolutionary preferential attachment复杂的合作网络进化优惠附件.pdfVIP

Complex Cooperative Networks from Evolutionary Preferential Attachment 1 ´ ´ ˜ 1,2 ´ 1,3 ´ 1,4 1,5 Julia Poncela , Jesus Gomez-Gardenes , Luis M. Florıa , Angel Sanchez , Yamir Moreno * ´ 1 Institute for Biocomputation and Physics of Complex Systems (BIFI), Universidad of Zaragoza, Zaragoza, Spain, 2 Scuola Superiore di Catania, Universita di Catania, ´ Catania, Italy, 3 Departamento de Fısica de la Materia Condensada, Universidad de Zaragoza, Zaragoza, Spain, 4 Grupo Interdisciplinar de Sistemas Complejos (GISC), ´ ´ Departamento de Matematicas, Universidad Carlos III de Madrid, Leganes, Spain, 5 Department of Theoretical Physics, University of Zaragoza, Zaragoza, Spain Abstract In spite of its relevance to the origin of complex networks, the interplay between form and function and its role during network formation remains largely unexplored. While recent studies introduce dynamics by considering rewiring processes of a pre-existent network, we study network growth and formation by proposing an evolutionary preferential attachment model, its main feature being that the capacity of a node to attract new links depends on a dynamical variable governed in turn by the node interactions. As a specific example, we focus on the problem of the emergence of cooperation by analyzing the formation of a s