@article{
author = "Anđelković, Miroslav and Gupte, Neelima and Tadić, Bosiljka",
year = "2015",
abstract = "We introduce an approach based on algebraic topological methods that allow an accurate characterization of jamming in dynamical systems with queues. As a prototype system, we analyze the traffic of information packets with navigation and queuing at nodes on a network substrate in distinct dynamical regimes. A temporal sequence of traffic density fluctuations is mapped onto a mathematical graph in which each vertex denotes one dynamical state of the system. The coupling complexity between these states is revealed by classifying agglomerates of high-dimensional cliques that are intermingled at different topological levels and quantified by a set of geometrical and entropy measures. The free-flow, jamming, and congested traffic regimes result in graphs of different structure, while the largest geometrical complexity and minimum entropy mark the edge of the jamming region.",
journal = "Physical Review E",
title = "Hidden geometry of traffic jamming",
volume = "91",
number = "5",
doi = "10.1103/PhysRevE.91.052817"
}