Skip to main content

Table 1 Network indicators

From: Network analysis for the study of technological collaboration in spaces for innovation. Science and technology parks and their relationship with the university

Indicator Description Formula
Degree of centrality Number of links incident upon a node \( {C}_d(G)=\frac{{\displaystyle \sum_{i=1}^NCd\left({v}^{*}\right)-Cd(vi)}}{H} \)
CD (g): degree centrality
v * : node with the highest centrality degree
Vi:node i
Index of centralization The degree to which a network is organized around a point. \( {C}_d=\frac{{\displaystyle \sum_{i=1}^N\left(C \max - Ci\right)}}{ \max \left[{\displaystyle \sum_{i=1}^N\left(C \max - Ci\right)}\right]} \)
C max :centrality focal node
Ci = centrality rest of nodes
Degree of intermediation Possibility of a node to mediate between pairs of nodes \( {C}_b=\frac{2{\displaystyle \sum_{i=1}^g\left[Cb\left({n}^{*}\right)-Cb\left({n}_i\right)\right]}}{\left[\left(g-1\Big){}^2\left(g-2\right)\right)\right]} \)
Cb(n*):highest intermediation between agents
g: number of nodes
Degree of closeness Average distance of each agent in respect of other agents. \( {C}_c={\displaystyle \sum_{x\in V-C}df\left(x,C\right)} \)
X:node x
Density Existing links in relation to possible links. \( D=\frac{{\displaystyle \sum_{i=1}^N{\displaystyle \sum_{j=1}^NXij}}}{n\left(n-1\right)} \)
Xij: adjacency matrix
N: number of nodes
  1. Source: Borgatti et al. (2002)