Network Theory
Network theory studies the structure and dynamics of interconnected systems, aiming to understand how relationships between components influence overall system behavior. Current research focuses on developing and applying sophisticated models, such as exponential random graph models (ERGMs) and graph neural networks, to analyze diverse networks, including social networks, brain networks, and computer networks. These advancements enable more accurate modeling of complex interactions, leading to improved insights in fields ranging from public health and cybersecurity to the design of more efficient algorithms and recommender systems. The ability to analyze and manipulate network structures holds significant potential for optimizing various systems and gaining a deeper understanding of complex phenomena across numerous scientific disciplines.