Table 1.

Basic notations for diffusion model

Symbols	Interpretation
${\mathit{G}}_{\mathit{F}}\left(\mathcal{N},,,\mathcal{E}\right)$	Available network/graph for diffusion analysis
$\mathcal{N}$	Vertex set of $G_F\left(\mathcal{N},,,\mathcal{E}\right)$ such that $\left|\mathcal{N}\right|=n$
$\mathcal{E}$	Edge set of $G_F\left(\mathcal{N},,,\mathcal{E}\right)$ such that $\left|\mathcal{E}\right|=e$
${\mathit{G}}_{\mathit{C}}\left({\mathcal{N}}_{\mathit{C}},,,{\mathcal{E}}_{\mathit{C}}\right)$	Giant component graph
${\mathcal{N}}_{\mathit{C}}$	Vertex set of $G_C\left({\mathcal{N}}_C,,,{\mathcal{E}}_C\right)$ such that $\left|{\mathcal{N}}_C\right|=nc$
${\mathcal{E}}_{\mathit{C}}$	Edge set of $G_C\left({\mathcal{N}}_C,,,{\mathcal{E}}_C\right)$ such that $\left|{\mathcal{E}}_C\right|=ec$
${\mathit{n}}_{\mathit{i}}$	$i^{\mathit{th}}$ vertex such that $n_i\in \mathcal{N}$
${\mathit{e}}_{\mathit{i}\mathit{j}}$	Edge connecting $i^{\mathit{th}}$ and $j^{\mathit{th}}$ vertex such that $e_{\mathit{ij}}\in \mathcal{E}$
$\mathit{\alpha }$	Spread of interactivity (diffusion probability)
$\mathit{\beta }$	Recovery probability
$\mathit{\gamma }$	Adoption probability
$\mathit{\lambda }$	Control/decay rate of diffusion
$\mathit{t}$	Time variable
$\mathit{p}$	Initially interacting population (spontaneous influence rate)
${\mathit{F}}_1(\mathit{t})$	Fraction of susceptible population by time $t$
${\mathit{F}}_2(\mathit{t})$	Fraction of influenced people by time $t$
${\mathit{d}}_{\mathit{i}}$	Degree of a node $i$
$\mathit{E}[\mathit{d}]$	Expected degree of all nodes/data set