K-core Decomposition

K-core decomposition is a method used to analyze a network by identifying its most interconnected groups. It involves repeatedly removing nodes (points) that have fewer than a certain number of connections (links) until all remaining nodes meet that threshold. For example, a 3-core consists of nodes each connected to at least three others within that group. This process reveals the core structure of a network, highlighting its most densely connected and influential parts. It helps in understanding the network's resilience, community structure, and key players in complex systems like social networks or communication graphs.