Table 1 Notations and symbols
From: Identification of top-K nodes in large networks using Katz centrality
Notation | Definition and description |
|---|---|
G | Given graph |
V | Set of nodes |
E | Set of edges |
\(v_{1}\), \(v_{2}\), \(v_{i}\), \(v_{j}\), \(n_{i}\) | Nodes |
\(C_{D}\) | Degree centrality |
\(C_{in}\) | In-degree centrality |
\(C_{out}\) | Out-degree centrality |
\(C_{c}\) | Closeness centrality |
\(C_{B}\) | Betweenness centrality |
\(g_{jik}\), \(g_{jk}\) | Geodesic paths |
\(\alpha\) | Damping factor or attenuation factor |
\(\beta\) | Exogenous vector |
\(\lambda\) | Eigenvector |
\(C_{Katz}\) | Katz centrality |
A | Adjacency matrix |
\(LAC_{Katz}\) | Local average centrality |
\(GAC_{Katz}\) | Global average centrality |
Const | User defined constant |
\(isim_{k}\) | Intersection similarity |