Public transport systems in 22 Polish cities have been analyzed. The sizes of these networks
range from N= 152 to 2881. Depending on the assumed definition of network topology, the …

We develop an analytical approach to the susceptible-infected-susceptible epidemic model
that allows us to unravel the true origin of the absence of an epidemic threshold in …

Public transport networks of fourteen cities of so far unexplored network size are analyzed in
standardized graph representations: the simple graph of the network map, the bipartite …

Background Community structure is ubiquitous in biological networks. There has been an
increased interest in unraveling the community structure of biological systems as it may …

We consider a general criterion to discern the nature of the threshold in epidemic models on
scale-free (SF) networks. Comparing the epidemic lifespan of the nodes with largest …

We study the properties of random walks on complex trees. We observe that the absence of
loops is reflected in physical observables showing large differences with respect to their …

We analyze two alterations of the standard susceptible-infected-susceptible (SIS) dynamics
that preserve the central properties of spontaneous healing and infection capacity of a vertex …

Vicsek fractals are one of the most interesting classes of fractals and the study of their
structural properties is important. In this paper, the exact formula for the mean geodesic …

We introduce the concept of the boundary of a complex network as the set of nodes at
distance larger than the mean distance from a given node in the network. We study the …

Structural properties of the ship-transport network of China (STNC) are studied in the light of
recent investigations of complex networks. STNC is composed of a set of routes and ports …