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@article{Lambiotte:2011:10.1103/PhysRevE.84.017102,
author = {Lambiotte, R and Sinatra, R and Delvenne, J-C and Evans, TS and Barahona, M and Latora, V},
doi = {10.1103/PhysRevE.84.017102},
journal = {PHYSICAL REVIEW E},
title = {Flow graphs: Interweaving dynamics and structure},
url = {http://dx.doi.org/10.1103/PhysRevE.84.017102},
volume = {84},
year = {2011}
}
TY - JOUR
AB - The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential because different dynamical processes may be affected very differently by network topology. A full characterization of such systems thus requires a formalization that encompasses both aspects simultaneously, rather than relying only on the topological adjacency matrix. To achieve this, we introduce the concept of flow graphs, namely weighted networks where dynamical flows are embedded into the link weights. Flow graphs provide an integrated representation of the structure and dynamics of the system, which can then be analyzed with standard tools from network theory. Conversely, a structural network feature of our choice can also be used as the basis for the construction of a flow graph that will then encompass a dynamics biased by such a feature. We illustrate the ideas by focusing on the mathematical properties of generic linear processes on complex networks that can be represented as biased random walks and their dual consensus dynamics, and show how our framework improves our understanding of these processes.
AU - Lambiotte,R
AU - Sinatra,R
AU - Delvenne,J-C
AU - Evans,TS
AU - Barahona,M
AU - Latora,V
DO - 10.1103/PhysRevE.84.017102
PY - 2011///
SN - 1539-3755
TI - Flow graphs: Interweaving dynamics and structure
T2 - PHYSICAL REVIEW E
UR - http://dx.doi.org/10.1103/PhysRevE.84.017102
UR - http://hdl.handle.net/10044/1/10238
VL - 84
ER -