Table 1 Notation and explanation of symbols.
From: Analysis and control of information diffusion dictated by user interest in generalized networks
Symbol | Interpretation |
|---|---|
\(I^m(t)\) | Number of Infected nodes for class m |
\(S^m(t)\) | Number of Susceptible nodes concerning class m |
\(\mathcal {I}^m(t)\) | Set of Infected nodes concerning class m |
\(\mathcal {N}_S(i)\) | Set of node i’s friends in the social layer |
\(\mathcal {N}_{P}(i)\) | Set of connections of i in the wireless network (physical layer) |
\(0\le p_1,p_2,q\le 1\) | Probabilities defined in the proposed information diffusion model |
\(N_S^{avg}\) | The average degree of all nodes in the social layer |
\(f_1(x)\) | \(f_1(x):[0,1]\rightarrow [0,1]\) monotonically increasing on x |
\(f_2(x)\) | \(f_2(x):[0,1]\rightarrow [0,1]\) monotonically decreasing on x |
\(f_{3}(x)\) | \(f_{3}(x):[0,1]\rightarrow [0,1]\) monotonically increasing on x |