Applications of graph theory have proliferated across the academic spectrum in recent
years. Whereas geosciences and landscape ecology have made rich use of graph theory, its …

Graph theory has long been used in quantitative geography and landscape ecology and has
been applied in Earth and atmospheric sciences for several decades. Recently, however …

Network embedding has received increasing research attention in recent years. The existing
methods show that the high-order proximity plays a key role in capturing the underlying …

We study the threshold of epidemic models in quenched networks with degree distribution
given by a power-law. For the susceptible-infected-susceptible model the activity threshold λ …

Many epidemic processes in networks spread by stochastic contacts among their connected
vertices. There are two limiting cases widely analyzed in the physics literature, the so-called …

Numerous centrality measures have been developed to quantify the importances of nodes in
time-independent networks, and many of them can be expressed as the leading eigenvector …

The decrease of the spectral radius, an important characterizer of network dynamics, by
removing links is investigated. The minimization of the spectral radius by removing m links is …

We study optimal synchronization in networks of heterogeneous phase oscillators. Our main
result is the derivation of a synchrony alignment function that encodes the interplay between …

The collective dynamics of a network of coupled excitable systems in response to an
external stimulus depends on the topology of the connections in the network. Here we …

Global food trade is crucial for food security and availability. Trade is typically optimized to
promote efficiency, whereas resilience is increasingly being recognized as another …