Title: Around Average Behavior: 3-lambda Network Model,
Abstract: The analysis of networks affects the research of many real phenomena. The
complex network structure can be viewed as a network's state at the time of the
analysis or as a result of the process through which the network arises.
Research activities focus on both and, thanks to them, we know not only many
measurable properties of networks but also the essence of some phenomena that
occur during the evolution of networks. One typical research area is the
analysis of co-authorship networks and their evolution. In our paper, the
analysis of one real-world co-authorship network and inspiration from existing
models form the basis of the hypothesis from which we derive new 3-lambda
network model. This hypothesis works with the assumption that regular behavior
of nodes revolves around an average. However, some anomalies may occur. The
3-lambda model is stochastic and uses the three parameters associated with the
average behavior of the nodes. The growth of the network based on this model
assumes that one step of the growth is an interaction in which both new and
existing nodes are participating. In the paper we present the results of the
analysis of a co-authorship network and formulate a hypothesis and a model
based on this hypothesis. Later in the paper, we examine the outputs from the
network generator based on the 3-lambda model and show that generated networks
have characteristics known from the environment of real-world networks.