Speaker
Description
In this study, we employ a superstatistical approach to construct $q$ exponential and $q$ Maxwell Boltzmann complex networks, generalizing the concept of scale-free networks. By adjusting the crossover parameter $\lambda$, we control the degree of the $q$ exponential plateau at low node degrees, allowing a smooth transition to pure power-law degree distributions. Similarly, the parameter $b$ modulates the $q$ Maxwell Boltzmann curvature, facilitating a shift toward pure power-law networks. This framework introduces a novel perspective for constructing and analyzing scale-free networks. Our results show that these additional degrees of freedom significantly enhance the flexibility of both network types in terms of topological and transport properties, including clustering coefficients, small-world characteristics, and resilience to attacks. Future research will focus on exploring the dynamic properties of these networks, offering promising directions for further investigation.
