ringThe broad study and application of network analysis has been a hot topic in recent years, with interesting advances and discoveries in the statistical mechanics of networks and in comparison with the traditional areas of social network analysis and graph theory. Examples of our ongoing investigations include political community structures (the image here depicts committees in the United States House of Representatives); temporal network data; and dynamics on graphs for modeling the spread of influence, disease propagation, and as ranking systems for college football and other sports (see Random Walker Rankings). More information about our ongoing research and the study of networks is available via NetWiki, the Social Network Analysis at Carolina initiative, and the Duke Network Analysis Center.

reordered_v3_copy.png Eigenvector-based centrality measures for temporal networks,
D. Taylor, S. A. Myers, A. Clauset, M. A. Porter and P. J. Mucha, to appear in Multiscale Modeling and Simulation, arXiv:1507.01266.
sMLSBM.png Clustering network layers with the strata multilayer stochastic block model, N. Stanley, S. Shai, D. Taylor and P. J. Mucha, IEEE Trans. Network Science and Engineering 3, 95-105 (2016).
rdsfom.png Network Structure and Biased Variance Estimation in Respondent Driven Sampling, A. M. Verdery, T. Mouw, S. Bauldry and P. J. Mucha, PLOS ONE 10, e0145296 (2015).
kantian.png Kantian fractionalization predicts the conflict propensity of the international system, S. J. Cranmer, E. J. Menninga and P. J. Mucha, Proceedings of the National Academy of Sciences 112, 11812-11816 (2015).
UPECsiderophores.png Network analysis reveals sex- and antibiotic resistance-associated antivirulence targets in clinical uropathogens, K. S. Parker, J. D. Wilson, J. Marschall, P. J. Mucha and J. P. Henderson, ACS Infectious Diseases 1, 523-532 (2015).
London.png Topological data analysis of contagion maps for examining spreading processes on networks, D. Taylor, F. Klimm, H. A. Harrington,
M. Kramár, K. Mischaikow, M. A. Porter and P. J. Mucha, Nature Communications 6, 7723 (2015).
thinklocally.png Think locally, act locally: Detection of small, medium-sized, and large Communities in large networks,
L. G. S. Jeub, P. Balachandran, M. A. Porter, P. J. Mucha and
M. W. Mahoney, Physical Review E 91, 012821 (2015)
[codes: LocalCommunities, SpringVisCom].
personalfb.png A testing based extraction algorithm for identifying significant communities in networks, J. D. Wilson, S. Wang, P. J. Mucha,
S. Bhamidi and A. B. Nobel, The Annals of Applied Statistics 8, 1853-1891 (2014).
piikk.png Dynamics on Modular Networks with Heterogeneous Correlations,
S. Melnik, M. A. Porter, P. J. Mucha and J. P. Gleeson, Chaos 24, 023106 (2014).
brainmodels.png Resolving structural variability in network models and the brain, F. Klimm, D. S. Bassett, J. M. Carlson and P. J. Mucha, PLoS Computational Biology 10, e1003491 (2014).
percolatingrods.png Network-based assessments of percolation-induced current distributions in sheared rod macromolecular dispersions,
F. Shi, S. Wang, M. G. Forest and P. J. Mucha, Multiscale Modeling and Simulation 12, 249-264 (2014).
Core-periphery structure in networks, M. P. Rombach, M. A. Porter, J. H. Fowler and P. J. Mucha, SIAM Journal of Applied Mathematics 74, 167-190 (2014).
crosslinks.png Cross-linked structure of network evolution,
D. S. Bassett, N. F. Wymbs, M. A. Porter, P. J. Mucha and S. T. Grafton, Chaos 24, 013112 (2014).
multiopinions.png Multiopinion coevolving voter model with infinitely many phase transitions, F. Shi, P. J. Mucha and R. Durrett, Physical Review E 88, 062818 (2013).
resistorcurrent.png Percolation-induced exponential scaling in the large current tails of random resistor networks, F. Shi, S. Wang, M. G. Forest and P. J. Mucha, Multiscale Modeling and Simulation 11, 1298-1310 (2013).
clusteredopinion.png Role of social environment and social clustering in spread of opinions in coevolving networks, N. Malik and P. J. Mucha, Chaos 23, 043123 (2013).
Untitled Task-based core-periphery organization of human brain dynamics, D. S. Bassett, N. F. Wymbs, M. P. Rombach, M. A. Porter,
P. J. Mucha and S. T. Grafton, PLoS Computational Biology 9, e1003171 (2013).
temp Dynamic network centrality summarizes learning in the human brain, A. V. Mantzaris, D. S. Bassett, N. F. Wymbs, E. Estrada,
M. A. Porter, P. J. Mucha, S. T. Grafton and D. J. Higham, Journal of Complex Networks 1, 83–92 (2013).
Polarization Portrait of political party polarization,
J. Moody and P. J. Mucha, Network Science 1, 119–121 (2013).
Untitled Robust detection of dynamic community structure in networks, D. S. Bassett, M. A. Porter, N. F. Wymbs, S. T. Grafton, J. M. Carlson and P. J. Mucha, Chaos 23, 013142 (2013).
Taxonomies of networks from community structure, J.-P. Onnela, D. J. Fenn, S. Reid, M. A. Porter, P. J. Mucha, M. D. Fricker and N. S. Jones, Physical Review E 86, 036104 (2012).
Dynamical clustering of exchange rates, D. J. Fenn, M. A. Porter, P. J. Mucha, M. McDonald, S. Williams, N. F. Johnson and N. S. Jones, Quantitative Finance 12, 1493-1520 (2012).
Differential recruitment of the sensorimotor putamen and frontoparietal cortex during motor chunking in humans, N. F. Wymbs, D. S. Bassett, P. J. Mucha, M. A. Porter and S. T. Grafton, Neuron 74, 936-946 (2012).
Social structure of Facebook networks, A. L. Traud, P. J. Mucha and M. A. Porter, Physica A 391, 4165-4180 (2012).
Graph fission in an evolving voter model, R. Durrett, J. P. Gleeson, A. L. Lloyd, P. J. Mucha, F. Shi, D. Sivakoff, J. Socolar and C. Varghese, Proceedings of the National Academy of Sciences 109, 3682-3687 (2012).
Accuracy of mean-field theory for dynamics on real-world networks, J. P. Gleeson, S. Melnik, J. A. Ward, M. A. Porter and P. J. Mucha, Physical Review E 85, 026106 (2012).
Community structure in the United Nations General Assembly, K. T. Macon, P. J. Mucha and M. A. Porter, Physica A 391, 343-361 (2012).
Mathematical genealogy and department prestige, S. A. Myers, P. J. Mucha and M. A. Porter, Chaos 21, 041104 (2011) [APS Gallery of Nonlinear Images poster].
Comparing community structure to characteristics in online collegiate social networks, A. L. Traud, E. D. Kelsic, P. J. Mucha and M. A. Porter, SIAM Review 53, 526-543 (2011).
Dynamic reconfiguration of human brain networks during learning, D. S. Bassett, N. F. Wymbs, M. A. Porter, P. J. Mucha, J. M. Carlson and S. T. Grafton, Proceedings of the National Academy of Sciences 108, 7641-8646 (2011).
The unreasonable effectiveness of tree-based theory for networks with clustering, S. Melnik, A. Hackett, M. A. Porter, P. J. Mucha and J. P. Gleeson, Physical Review E 83, 036112 (2011).
Communities in multislice voting networks, P. J. Mucha and M. A. Porter, Chaos 20, 041108 (2010) [APS Gallery of Nonlinear Images poster].
Community structure in time-dependent, multiscale, and multiplex networks, P. J. Mucha, T. Richardson, K. Macon, M. A. Porter and J.-P. Onnela, Science 328, 876-878 (2010). [This is the author’s version of the work. It is posted here by permission of the AAAS for personal use, not for redistribution. The definitive version published in Science is freely available via these referring links (html) (pdf).]
Mutually-antagonistic interactions in baseball networks, S. Saavedra, S. Powers, T. McCotter, M. A. Porter and P. J. Mucha, Physica A 389, 1131-1141 (2010).
Visualization of communities in networks, A. L. Traud, C. Frost, P. J. Mucha and M. A. Porter, Chaos 19, 041104 (2009) [APS Gallery of Nonlinear Images poster].
Spectral tripartitioning of networks, T. Richardson, P. J. Mucha and M. A. Porter, Physical Review E 80, 036111 (2009).
Communities in networks, M. A. Porter, J.-P. Onnela and P. J. Mucha, Notices of the American Mathematical Society 56, 1082-1097 & 1164-1166 (2009).
Party polarization in Congress: a network science approach, A. Waugh, L. Pei, J. H. Fowler, P. J. Mucha and M. A. Porter, arXiv:0907.3509.
Community structure in Congressional cosponsorship networks, Y. Zhang, A. J. Friend, A. L. Traud, M. A. Porter, J. H. Fowler and P. J. Mucha, Physica A 387, 1705-1712 (2008).
Random Walker Ranking for NCAA Division I-A Football, T. Callaghan, P. J. Mucha and M. A. Porter, American Mathematical Monthly 114, 761-777 (2007).
Community structure in the United States House of Representatives, M. A. Porter, P. J. Mucha, M. E. J. Newman and A. J. Friend, Physica A 386, 414-438 (2007).
Community structure in the U.S. House of Representatives, M. A. Porter, A. J. Friend, P. J. Mucha and M. E. J. Newman, Chaos 16, 041106 (2006) [APS Gallery of Nonlinear Images poster].
A network analysis of committees in the U.S. House of Representatives, M. A. Porter, P. J. Mucha, M. E. J. Newman and C. M. Warmbrand, Proceedings of the National Academy of Sciences 102, 7057-7062 (2005).
The Bowl Championship Series: A Mathematical Review, T. Callaghan, P. J. Mucha and M. A. Porter, Notices of the American Mathematical Society 51, 887-893 (2004).