This review presents an account of the major works done on spectra of adjacency matrices
drawn on networks and the basic understanding attained so far. We have divided the review …

Dynamics of bidirectionally coupled swarmalators subject to attractive and repulsive
couplings is analyzed. The probability of two elements in different layers being connected …

To date, explosive synchronization (ES) in a network is shown to be originated from
considering either degree-frequency correlation, frequency-coupling strength correlation …

Motivated by the recent multiplex framework of complex networks, in this work, we
investigate if explosive synchronization can be induced in the multiplex network of two …

It is known that explosive synchronization (ES) in an isolated network of Kuramoto oscillators
with inertia is significantly enhanced by the presence of time delay. Here we show that time …

Synchronization of multiplex networks has been a topical issue in network science.
Dumbbell networks are very typical structures in complex networks which are distinguished …

A coupled two-ring-network with time delay is developed to avoid the weakness of a simple
ring topology. The divide and conquer algorithm is used to analyze the distribution of the …

The phenomenon of explosive synchronization, which originates from hypersensitivity to
small perturbation caused by some form of frustration prevailed in various physical and …

We investigate the spectra of adjacency matrices of multiplex networks under random matrix
theory (RMT) framework. Through extensive numerical experiments, we demonstrate that …

We study localization properties of principal eigenvectors (PEVs) of multilayer networks
(MNs). Starting with a multilayer network corresponding to a delocalized PEV, we rewire the …