Most real systems are growing. In order to model the evolution of real systems, many growing network models have been proposed to reproduce some specific topology properties. As the structure strongly influences the network function, designing the function-aimed growing strategy is also a significant task with many potential applications. In this letter, we focus on synchronization in the growi...

Elham Davoodi 1, Hoda Ghasemieh 1,†, Okke Batelaan 2,† ID and Khodayar Abdollahi 3,*,† ID 1 Faculty of Natural Resources and Earth Sciences, Kashan University, KM 6 BLVD. Ghotb Ravandi, Kashan 8731753153, Iran; [email protected] (E.D.); [email protected] (H.G.) 2 National Centre for Groundwater Research and Training, College of Science and Engineering, Flinders University, Adelai...

The linear preferential attachment hypothesis has been shown to be quite successful in explaining the existence of networks with power-law degree distributions. It is then quite important to determine if this mechanism is the consequence of a general principle based on local rules. In this work it is claimed that an effective linear preferential attachment is the natural outcome of growing netw...

Two preferential attachment type graph models which allow for dynamic addition/deletion of edges/vertices are considered. The focus of this paper is on the limiting expected degree of a fixed vertex. For both models a phase transition is seen to occur, i.e. if the probability with which edges are deleted is below a model specific threshold value, the limiting expected degree is infinite, but if...

In this article we study a class of randomly grown graphs that includes some preferential attachment and uniform attachment models, as well as some evolving graph models that have been discussed previously in the literature. The degree distribution is assumed to form a Markov chain; this gives a particularly simple form for a stochastic recursion of the degree distribution. We show that for thi...

An observed increase in air temperature can lead to significant changes in the phenology of plants and, consequently, changes in agricultural production. The aim of the study was to evaluate the spatial differentiation of thermal resources in Poland and their variability during a period of changing thermal conditions in Europe. Since the variability of thermal conditions is of paramount importa...