Katz centrality

Katz centrality is a measure of the relative influence of a node within a network. It extends the concept of degree centrality by considering not just the immediate connections (i.e., the direct neighbors of a node) but also the broader network, taking into account the influence of nodes that are connected to a node's neighbors. The fundamental idea behind Katz centrality is that a node is considered important not only because it has many direct connections but also because its connections lead to other connected nodes.