Hálózatelméleti

Hálózatelméleti, often translated as "network theory" or "graph theory" in English, is a branch of mathematics and computer science that studies networks. These networks are abstract structures composed of nodes (also called vertices) and edges (also called links or connections) that represent relationships between these nodes. The primary focus of hálózatelméleti is to understand the properties and behaviors of these interconnected systems.

Key concepts within hálózatelméleti include graph structures, connectivity, pathfinding algorithms, centrality measures, and community detection. Researchers analyze how information, resources, or influence flows through a network, identify critical nodes or links, and understand the overall organization and resilience of the system. Applications are vast, spanning disciplines such as social sciences (analyzing social networks), biology (studying gene regulatory networks), computer science (designing and analyzing communication networks), physics, and economics. The development of algorithms to analyze and manipulate networks is a significant aspect of this field. Understanding network structures helps in predicting emergent behaviors and designing more efficient or robust systems.