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Mesoscale Structures of Networks @ Statistical Physics Lab, Department of Physics, University of Seoul, November 12, 2014.
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2. Outline core vs periphery structure in networks density-based vs transport-based coreness measures application to various real networks related to nestedess in ecological networks? community detection in networks mesoscopic response function (MRF) based taxonomy fungal networks (nutrient/energy transport) multilayer community detection Lagrangian coherent structures (ocean flow) political cosponsorship networks summary and outlook 3. mesoscale structures of a network in terms of transport1234567 4. mesoscale structures of a network in terms of transport1234567 5. mesoscale structures of a network in terms of transport1234567 6. mesoscale structures of a network in terms of transport123two modes or modules(or communities)4567R. Lambiotte, J.-C. Delvenne, and M. Barahona, arXiv:0812.1770;M. Rosvall and C. T. Bergstrom, PNAS 104, 7327 (2007); PNAS 105, 1118 (2008). 7. Community structure in networks adjacency matrixp1=0.5, p2=0.05, p3=0.5; pS=0, dS=00 20 40 60 80 1000102030405060708090100nz = 2730 8. Community structure in networks adjacency matrixp1=0.5, p2=0.05, p3=0.5; pS=0, dS=00 20 40 60 80 1000102030405060708090100nz = 2730modularity (the objective function to be maximized)Q =12XijWij