Table 1 Features of ties between user i and j considered to characterize the dynamical strength (persistence) of the ties, including their (normalized) complexity measured in computational time
From: Temporal patterns behind the strength of persistent ties
Type | Feature | Description | Computational complexity |
|---|---|---|---|
Intensity | \(w_{ij}\) | Total number of calls | 1.00 |
Intensity | \(d_{ij}\) | Average duration of calls | 1.00 |
Intensity | \(r_{ij}\) | Reciprocity of calls | 1.12 |
Structural | \(o_{ij}\) | Topological overlap | 1.82 |
Structural | \(k_{ij}\) | Connectivity diversity | 1.33 |
Intimacy | \(\mu ^{\mathrm{int}}_{ij}\) | Fraction of calls after 8 am and weekends | 1.05 |
Intimacy | \(\mathit{age}_{ij}\) | Age difference in years | 0.18 |
Intimacy | \(\mathit{gender}_{ij}\) | Gender difference | 0.15 |
Temporal | \(\hat{f}_{ij}\) | Relative freshness | 1.01 |
Temporal | \(t^{\mathrm{min}}_{ij}\) | Age of tie (in days). | 1.01 |
Temporal | \(\mathit{cv}_{ij}\) | Inter-event time coefficient of variation | 1.11 |
Temporal | \(\mu ^{\mathrm{chats}}_{ij}\) | Fraction of consecutive calls (5 mins.) | 1.31 |
Temporal | \(a_{ij}\) | Users’ Activity diversity | 1.21 |