Hypergraphs and Cellular Networks

Hypergraphs and Cellular Networks

1 Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany, 2 Institute for Mathematical Optimization, Faculty of Mathematics, Otto-vonGuericke University Magdeburg, Magdeburg, Germany, 3 Institute for Bioinformatics and Systems Biology, Helmholtz Zentrum München—German Research Center for Environmental Health, Neuherberg, Germany, 4 Max Planck Institute for Dynamics a...

Cellular telephone networks and random maps in hypergraphs

Hypergraphs and City Street Networks

The map of a city’s streets constitutes a particular case of spatial complex network. However a city is not limited to its topology: it is above all a geometrical object whose particularity is to organize into short and long axes called streets. In this article we present and discuss two algorithms aiming at recovering the notion of street from a graph representation of a city. Then we show tha...

Joint Allocation of Computational and Communication Resources to Improve Energy Efficiency in Cellular Networks

Mobile cloud computing (MCC) is a new technology that has been developed to overcome the restrictions of smart mobile devices (e.g. battery, processing power, storage capacity, etc.) to send a part of the program (with complex computing) to the cloud server (CS). In this paper, we study a multi-cell with multi-input and multi-output (MIMO) system in which the cell-interior users request service...

Biopolymer Networks and Cellular Mechanosensing

Cells and tissues are mechanical as well as biochemical machines, and cellular response to mechanical cues can have as large an influence on structure and function as chemical signals. The mechanical properties of cells are largely determined by networks of semiflexible polymers forming the cytoskeleton, which has viscoelastic properties that differ in important ways from the viscoelasticity of...