IEEE Circuits and Systems Magazine - Q1 2023 - 22

Table 1.
Summary of using heuristic algorithms to optimize network robustness.
Work
Schneider, et al. [15]
Herrmann, et al. [144]
Buesser, et. al. [149]
Zeng and Liu [44]
Peixoto and
Bornholdt [150]
Cao, et al. [152]
Zhou and Liu [153]
Xiao, et al. [78]
Bai, et al. [154]
Yang, et al. [155]
Measure
Eq. (2)
Eq. (2)
Eq. (2)
Eq. (2)
Eq. (2)
Eq. (2)
Eq. (2)
Eq. (14)
Eq. (2)
Eq. (2)
Algorithm
random rewiring
Monte Carlo-based
algorithm
simulated annealing
hybrid greedy
algorithm
BFGS [151] and
other swarm-based
algorithms
strategies of adding
edges
memetic algorithm
dynamic optimization
hill-climbing search
greedy bypass
rewiring algorithm
Tang, et al. [156]
Ma, et al. [157]
Sun, et al. [158]
Tang, et al. [82]
Park and Hahn [159]
Wang and Liu [160]
Eq. (17)
Eq. (2) and Eq. (4)
Eq. (2)
Eq. (17)
Eq. (2)
2 objectives:
Eq. (2) and
cooperation (fraction
of cooperators)
Wang and Liu [161]
Wang, et al. [86]
Wang and Liu [79]
community integrity
[85]
normalized mutual
information [86]
2 objectives:
Eq. (15) and
cooperation (fraction
of cooperators)
Rong and Liu [162]
Eq. (2)
memetic algorithm
edge-replenishment
strategy
tabu search
memetic algorithm
greedy bypass
rewiring algorithm
multi-objective
evolutionary
algorithm
genetic algorithm
simulated annealing
multi-objective
evolutionary
algorithm
heuristic algorithm
Constraint
degree preservation
for each node
degree distribution
preservation
degree preservation
for each node
degree preservation
for each node
average degree
preservation
N/A
degree preservation
for each node
degree preservation
of each node
degree preservation
for each node
preserving both the
degree distribution
and community
structure
degree preservation
for each node
keep the total
numbers of nodes
and edges
degree preservation
for each node
degree preservation
for each node
N/A
degree preservation
for each node
degree distribution
preservation
degree distribution
preservation
degree preservation
for each node
degree preservation
for each node
Attack Object
node
node
node
node and edge
node
node
node
node
node
node
node
node and edge
node
node
node
node
node
node
node
node
(Continued)
22
IEEE CIRCUITS AND SYSTEMS MAGAZINE
FIRST QUARTER 2023

IEEE Circuits and Systems Magazine - Q1 2023

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