2 Nov 2000 | Ginestra Bianconi* and Albert-László Barabási*
The paper by Ginestra Bianconi and Albert-László Barabási explores the dynamics of network evolution in competitive systems, where nodes compete for links based on their fitness. They find that this competition leads to multiscaling, where the dynamic exponent of node connectivity depends on the node's fitness. This phenomenon allows fitter nodes to overtake less fit nodes, even if they are less connected. The authors propose a model that incorporates fitness into the preferential attachment mechanism, leading to a power-law distribution of node connectivity with a dynamic exponent that varies with fitness. Numerical simulations validate the analytical predictions, showing that the model accurately describes the evolution of networks in competitive environments. The results highlight the importance of fitness in the formation of highly connected hubs and provide insights into the evolution of complex systems in nature and society.The paper by Ginestra Bianconi and Albert-László Barabási explores the dynamics of network evolution in competitive systems, where nodes compete for links based on their fitness. They find that this competition leads to multiscaling, where the dynamic exponent of node connectivity depends on the node's fitness. This phenomenon allows fitter nodes to overtake less fit nodes, even if they are less connected. The authors propose a model that incorporates fitness into the preferential attachment mechanism, leading to a power-law distribution of node connectivity with a dynamic exponent that varies with fitness. Numerical simulations validate the analytical predictions, showing that the model accurately describes the evolution of networks in competitive environments. The results highlight the importance of fitness in the formation of highly connected hubs and provide insights into the evolution of complex systems in nature and society.