Modern temporal network theory: A colloquium

The power of any kind of network approach lies in the ability to simplify a complex system so that one can better understand its function as a whole. Sometimes it is beneficial, however, to include more information than in a simple graph of only nodes and links. Adding information about times of interactions can make predictions and mechanistic understanding more accurate. The drawback, however, is that there are not so many methods available, partly because temporal networks is a relatively young field, partly because it more difficult to develop such methods compared to for static networks. In this colloquium, we review the methods to analyze and model temporal networks and processes taking place on them, focusing mainly on the last three years. This includes the spreading of infectious disease, opinions, rumors, in social networks; information packets in computer networks; various types of signaling in biology, and more. We also discuss future directions.Comment: Final accepted versio

Evaluating locational accessibility to the US air transportation system

Although there are hundreds of airports that support commercial air passenger traffic in the United States (US), not all areas are equivalently served by the commercial air transportation system. Locations in the US differ with respect to their level of access to the commercial air network and their overall accessibility within the system. Given the complexity of the domestic commercial air passenger network and supporting infrastructure, past research has only been able to provide a limited assessment of locational accessibility within the United States. To address these complexities, this paper proposes a new metric that incorporates measures of access to air transport as well as accessibility within air transportation networks. Using a comprehensive dataset on scheduled airline service, the developed approach is then applied to the US domestic commercial passenger air transportation network to explore geographic differentials in accessibility. Results suggest marked differences between core-based statistical areas throughout the US.Air travel Network analysis Spatial interaction Geographic inequities SRS

A Tool Suite for Modelling Spatial Interdependencies of Distributed Systems with Markovian Agents

Distributed systems are characterized by a large number of similar interconnected objects that cooperate by exchanging messages. Practical application of such systems can be found in computer systems, sensor networks, and in particular in critical infrastructures. Though formalisms like Markovian Agents provide a formal support to describe these systems and evaluate related performance indices, very few tools are currently available to define models in such languages, moreover they do not provide generally specific functionalities to ease the definition of the locations of the interacting components. This paper presents a prototype tool suite capable of supporting the study of the number of hops and the transmission delay in a critical infrastructure