New Journal of Physics,
Journal Year:
2023,
Volume and Issue:
25(10), P. 103034 - 103034
Published: Oct. 1, 2023
Abstract
Network
controllability
is
a
critical
attribute
of
dynamic
networked
systems.
Investigating
methods
to
restore
network
after
degradation
crucial
for
enhancing
system
resilience.
In
this
study,
we
develop
an
analytical
method
based
on
degree
distributions
estimate
the
minimum
fraction
required
driver
nodes
under
random
node
additions
removal
subset
nodes.
The
outcomes
our
closely
align
with
numerical
simulation
results
both
synthetic
and
real-world
networks.
Additionally,
compare
efficacy
various
recovery
strategies
across
directed
Erdös–Rényi
(ER)
networks,
swarm
signaling
networks
(SSNs),
Barabàsi
Albert
(BA)
Our
findings
indicate
that
most
efficient
strategy
ER
SSNs
greedy
strategy,
which
considers
betweenness
centrality.
Similarly,
BA
focusing
centrality
emerges
as
efficient.
These
outperform
approaches
or
centrality,
well
involving
additions.
IEEE Transactions on Systems Man and Cybernetics Systems,
Journal Year:
2024,
Volume and Issue:
54(5), P. 2757 - 2764
Published: Jan. 23, 2024
A
new
edge
centrality
measure,
connectivity
rank
index
(CRI),
is
proposed
based
on
the
effect
of
an
network
algebraic
connectivity.
Compared
with
existing
indices,
CRI
can
determine
importance
a
present
as
well
absent
edge.
For
large-scale
networks,
algorithm
original
definition
has
high-time
complexity.
Therefore,
approximation
designed
using
eigenvector
elements
corresponding
to
second
smallest
Laplacian
eigenvalue.
This
identify
most
influential
edges
and
least
ones
easily,
which
reduces
time
complexity
from
exhaustive
searching
scheme
$O(N^{5})$
notation="LaTeX">$O(N^{3})$
in
size
notation="LaTeX">$N$
.
Some
examples
are
shown
verify
effectiveness
theoretical
results.
Physical review. E,
Journal Year:
2024,
Volume and Issue:
109(5)
Published: May 1, 2024
Fiedler
value,
as
the
minimal
real
part
of
(or
minimal)
nonzero
Laplacian
eigenvalue,
garners
significant
attention
a
metric
for
evaluating
network
topology
and
its
dynamics.
In
this
paper,
we
address
quantification
relation
between
value
each
edge
in
directed
complex
network,
considering
undirected
networks
special
case.
We
propose
an
approach
to
measure
dynamical
contribution
edge.
Interestingly,
these
values
can
be
both
positive
negative,
which
are
determined
by
left
right
vectors.
Further,
show
that
cumulated
all
edges
is
exactly
value.
This
provides
promising
angle
on
terms
dynamics
structure.
Therefore,
percentage
quantified.
Numerical
results
reveal
significantly
influenced
small
fraction
edges,
say,
one
single
contributes
over
90%
Cat
Cerebral
Cortex
network.
International Journal of Bifurcation and Chaos,
Journal Year:
2024,
Volume and Issue:
34(10)
Published: July 19, 2024
Swarmalator
model
attracts
the
attention
of
numerous
scholars
because
its
rich
dynamical
behaviors.
We
investigate
reason
for
phase
transition
that
occurs
in
a
2D
swarmalator
model,
and
conclude
limit
cycle,
reflection
coexistence
forces
maintaining
disrupting
orders,
results
various
clustering
phenomena.
Through
novel
mean-field
approximation
using
self-consistency
argument
method,
we
prove
conditions
influence
number
clusters
on
existence
clusters,
provide
estimates
cluster
size
splintered
wave
state
threshold
between
active
state.
Due
to
widespread
presence
nonlinearity,
our
study
is
essential
analysis
phenomena
real
physical
models.
Scientia Sinica Informationis,
Journal Year:
2023,
Volume and Issue:
54(3), P. 708 - 708
Published: Sept. 22, 2023
With
the
development
of
network
science,
simple
networks
have
their
limitations
to
capture
interactions
among
multiple
individuals.Therefore,
it
is
significant
focus
on
higher-order
networks.
