f |
Local transition function |
m |
Number of edges in a graph |
n |
Number of nodes in a graph |
ns |
Number of seed nodes in a simulation |
si |
State of node vi
|
t |
Threshold |
𝔹 |
Boolean state set {0, 1} |
C |
Critical set of nodes used to block contagion spread |
𝒞, 𝒞′ |
Configurations of a synchronous dynamical system |
E |
Set of edges in a graph G
|
𝓕 |
Set of local transition functions |
G |
Graph or network |
I |
Seed node set (i.e., set of nodes that are initially in state 1 in a simulation) |
LG(t) |
The size, in terms of nodes, of the largest connected component of a maximal t-core of a graph |
𝒮 |
Synchronous dynamical system |
T |
An upper bound on time |
V |
Set of nodes in a graph G
|
β |
Budget on the size of the critical set |