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A very important problem in combinatorial optimization is partitioning a network into communities of densely connected nodes; where the connectivity between nodes inside a particular community is large compared to the connectivity between nodes belonging to different ones.
Hierarchical grouping to optimize an objective function
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The large-scale organization of metabolic networks
H. Jeong, B. Tombor, R. Albert, Z. N. Oltvai, and A.-L Barabási · 2000
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Normalized cuts and image segmentation
Jianbo Shi and J. Malik · 2000
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Optimization with extremal dynamics
Stefan Boettcher and Allon G. Percus · 2001
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A min-max cut algorithm for graph partitioning and data clustering
C. H. Q. Ding, Xiaofeng He, Hongyuan Zha, Ming Gu, and H. D. Simon · 2001
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Community structure in social and biological networks
Michelle Girvan and Mark E. J. Newman · 2002
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The bottlenose dolphin community of doubtful sound features a large proportion of long-lasting associations
David Lusseau, Karsten Schneider, Oliver J. Boisseau, Patti Haase, Elisabeth Slooten, and Steve M. Dawson · 2003
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Fast algorithm for detecting community structure in networks
M. E. J. Newman · 2004
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Finding and evaluating community structure in networks
Mark E. J. Newman and Michelle Girvan · 2004
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Finding community structure in very large networks
Aaron Clauset, M. E. J. Newman, and Cristopher Moore · 2004
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Functional cartography of complex metabolic networks
Roger Guimera and Luís A. Nunes Amaral · 2005
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Community detection in complex networks using extremal optimization
Jordi Duch and Alex Arenas · 2005
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Modularity and community structure in networks
Mark E. J. Newman · 2006
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Resolution limit in community detection
Santo Fortunato and Marc Barthélemy · 2007
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3.4.2 State Encodings
Harris David Money and Harris Sarah L · 2007
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Entanglement in a quantum annealing processor
T. Lanting, A. J. Przybysz, A. Yu. Smirnov, F. M. Spedalieri, M. H. Amin, A. J. Berkley, R. Harris, F. Altomare, S. Boixo, P. Bunyk, N. Dickson, C. Enderud, J. P. Hilton, E. Hoskinson, M. W. Johnson, E. Ladizinsky, N. Ladizinsky, R. Neufeld, T. Oh, I. Perminov, C. Rich, M. C. Thom, E. Tolkacheva, S. Uchaikin, A. B. Wilson, and G. Rose · 2014
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Graph-based linear scaling electronic structure theory
Anders M. N. Niklasson, Susan M. Mniszewski, Christian F. A. Negre, Marc J. Cawkwell, Pieter J. Swart, Jamal Mohd-Yusof, Timothy C. Germann, Michael E. Wall, Nicolas Bock, Emanuel H. Rubensson, and Hristo Djidjev · 2016
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Community detection in networks: A user guide
Santo Fortunato and Darko Hric · 2016
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Comparative analysis of quality metrics for community detection in social networks using genetic algorithms
Simrat Kaur, Sarbjeet Singh, Sakshi Kaushal, and Arun Kumar Sangaiah · 2016
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Task-based parallel computation of the density matrix in quantum-based molecular dynamics using graph partitioning
P. Ghale, M. Kroonblawd, S. Mniszewski, C. Negre, R. Pavel, S. Pino, V. Sardeshmukh, G. Shi, and G. Hahn · 2017
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Eigenvector centrality for characterization of protein allosteric pathways
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Quantum-assisted cluster analysis on a quantum annealing device
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https://www.dwavesys.com/home
D-wave systems, 2018 · 2018
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