{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T15:17:59Z","timestamp":1761059879903},"reference-count":67,"publisher":"Oxford University Press (OUP)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["jcomplexnetw"],"published-print":{"date-parts":[[2015,9]]},"DOI":"10.1093\/comnet\/cnu050","type":"journal-article","created":{"date-parts":[[2015,2,1]],"date-time":"2015-02-01T01:07:57Z","timestamp":1422752877000},"page":"469-506","source":"Crossref","is-referenced-by-count":17,"title":["Synchronization over<i>Z<\/i><sub>2<\/sub>and community detection in signed multiplex networks with constraints"],"prefix":"10.1093","volume":"3","author":[{"given":"Mihai","family":"Cucuringu","sequence":"first","affiliation":[]}],"member":"286","published-online":{"date-parts":[[2015,1,30]]},"reference":[{"key":"2015081808585888000_3.3.469.1","doi-asserted-by":"crossref","unstructured":"Newman M. E. J. (2010) Networks: An Introduction. USA: Oxford University Press.","DOI":"10.1093\/acprof:oso\/9780199206650.001.0001"},{"key":"2015081808585888000_3.3.469.2","unstructured":"Newman M. E. J. Barab\u00e1si A.-L. Watts D. J. (eds) (2003) The Structure, Dynamics of Networks (Princeton Studies in Complexity), 1st edn. Princeton: Princeton University Press."},{"key":"2015081808585888000_3.3.469.3","unstructured":"Porter M. A. Onnela J.-P. Mucha P. J. (2009) Communities in networks. Not. Am. Math. Soc., 56, 1082\u20131097."},{"key":"2015081808585888000_3.3.469.4","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2009.11.002"},{"key":"2015081808585888000_3.3.469.5","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.122653799"},{"key":"2015081808585888000_3.3.469.6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.69.026113"},{"key":"2015081808585888000_3.3.469.7","doi-asserted-by":"publisher","DOI":"10.1038\/nature03607"},{"key":"2015081808585888000_3.3.469.8","doi-asserted-by":"publisher","DOI":"10.1038\/nature09182"},{"key":"2015081808585888000_3.3.469.9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.84.036103"},{"key":"2015081808585888000_3.3.469.10","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0500191102"},{"key":"2015081808585888000_3.3.469.11","doi-asserted-by":"publisher","DOI":"10.1126\/science.1184819"},{"key":"2015081808585888000_3.3.469.12","doi-asserted-by":"publisher","DOI":"10.1137\/080734315"},{"key":"2015081808585888000_3.3.469.13","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2007.01.002"},{"key":"2015081808585888000_3.3.469.14","doi-asserted-by":"publisher","DOI":"10.1186\/1752-0509-4-100"},{"key":"2015081808585888000_3.3.469.15","doi-asserted-by":"publisher","DOI":"10.1080\/14697688.2012.668288"},{"key":"2015081808585888000_3.3.469.16","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2008\/08\/P08007"},{"key":"2015081808585888000_3.3.469.17","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2008\/10\/P10008"},{"key":"2015081808585888000_3.3.469.18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.87.032803"},{"key":"2015081808585888000_3.3.469.19","doi-asserted-by":"publisher","DOI":"10.1098\/rsif.2012.0259"},{"key":"2015081808585888000_3.3.469.20","doi-asserted-by":"crossref","unstructured":"Bassett D. S. Wymbs N. F. Rombach M. Porter M. A. Mucha P. J. Grafton S. T. (2013) Task-based core-periphery organization of human brain dynamics. PLoS Comput. Biol., 9.","DOI":"10.1371\/journal.pcbi.1003171"},{"key":"2015081808585888000_3.3.469.21","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2011.06.030"},{"key":"2015081808585888000_3.3.469.22","unstructured":"MacMahon M. Garlaschelli D. (2014) Community detection for correlation matrices. Available at http:\/\/arxiv.org\/abs\/1311.1924, Accepted for publication on PRX."},{"key":"2015081808585888000_3.3.469.23","doi-asserted-by":"crossref","unstructured":"De Domenico M. Sol\u00e9-Ribalta A. Cozzo E. Kivel\u00e4 M. Moreno Y. Porter M. A. G\u00f3mez S. Arenas A. (2013) Mathematical formulation of multilayer networks. Phys. Rev. X, 3, 041022.","DOI":"10.1103\/PhysRevX.3.041022"},{"key":"2015081808585888000_3.3.469.24","doi-asserted-by":"publisher","DOI":"10.1093\/comnet\/cnu016"},{"key":"2015081808585888000_3.3.469.25","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2010.02.001"},{"key":"2015081808585888000_3.3.469.26","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2008.09.002"},{"key":"2015081808585888000_3.3.469.27","doi-asserted-by":"crossref","unstructured":"Giridhar A. Kumar P. R. (2006) Distributed clock synchronization over wireless networks: algorithms and analysis. 45th IEEE Conference on Decision and Control, pp. 4915\u20134920.","DOI":"10.1109\/CDC.2006.377325"},{"key":"2015081808585888000_3.3.469.28","doi-asserted-by":"crossref","unstructured":"Karp R. Elson J. Estrin D. Shenker S. (2003) Optimal and global time synchronization in sensornets. Tech. Rep., Center for Embedded Networked Sensing, University of California, Los Angeles.","DOI":"10.1007\/978-3-540-24698-5_63"},{"key":"2015081808585888000_3.3.469.29","doi-asserted-by":"crossref","unstructured":"Vandenberghe L. Boyd S. (1994) Semidefinite programming. SIAM Rev., 38, 49\u201395.","DOI":"10.1137\/1038003"},{"key":"2015081808585888000_3.3.469.30","unstructured":"Cucuringu M. Lipman Y. Singer A. (2012) Sensor network localization by eigenvector synchronization over the Euclidean group. ACM Trans. Sen. Netw., 8, 19:1\u201319:42."},{"key":"2015081808585888000_3.3.469.31","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/ias002"},{"key":"2015081808585888000_3.3.469.32","doi-asserted-by":"crossref","unstructured":"Arie-Nachimson M. Kovalsky S. Z. Kemelmacher-Shlizerman I. Singer A. Basri R. (2012) Global motion estimation from point matches. 2012 Second International Conference on 3D Imaging, Modeling, Processing, Visualization & Transmission, Zurich, Switzerland, October 13\u201315, 2012, pp. 81\u201388.","DOI":"10.1109\/3DIMPVT.2012.46"},{"key":"2015081808585888000_3.3.469.33","doi-asserted-by":"crossref","unstructured":"Bomze I. M. Budinich M. Pardalos P. M. Pelillo M. (1999) The maximum clique problem. Handbook of Combinatorial Optimization ( Du D.-Z. Pardalos P. M. eds). Springer, US: Kluwer Academic Publishers, pp. 1\u201374.","DOI":"10.1007\/978-1-4757-3023-4_1"},{"key":"2015081808585888000_3.3.469.34","doi-asserted-by":"crossref","unstructured":"Karp R. M. (1972) Reducibility among combinatorial problems. Complexity of Computer Computations ( Miller R. E. Thatcher J. W. eds), pp. 85\u2013103.","DOI":"10.1007\/978-1-4684-2001-2_9"},{"key":"2015081808585888000_3.3.469.35","unstructured":"Poole K. T. (2011) Voteview. http.\/\/voteview.com ."},{"key":"2015081808585888000_3.3.469.36","unstructured":"Poole K. T. Rosenthal H. (1997) Congress: A Political-Economic History of Roll Call Voting. New York: Oxford University Press."},{"key":"2015081808585888000_3.3.469.37","unstructured":"Waugh A. S. Pei L. Fowler J. H. Mucha P. J. Porter M. A. (2014) Party polarization in Congress: a network science approach. arXiv:0907.3509."},{"key":"2015081808585888000_3.3.469.38","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2007.11.004"},{"key":"2015081808585888000_3.3.469.39","doi-asserted-by":"crossref","unstructured":"Porter M. A. Mucha P. J. Newman M. E. J. Friend A. J. (2006) Community structure in the United States House of Representatives. Physica A, 386, 414\u2013438.","DOI":"10.1016\/j.physa.2007.07.039"},{"key":"2015081808585888000_3.3.469.40","unstructured":"Cucuringu M. Mahoney M. W. (2011) Localization on low-order eigenvectors of data matrices. Technical Report, arXiv:1109.1355."},{"key":"2015081808585888000_3.3.469.41","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-007-0209-3"},{"key":"2015081808585888000_3.3.469.42","doi-asserted-by":"crossref","unstructured":"Roth R. (2006) Introduction to Coding Theory. New York, NY, USA: Cambridge University Press.","DOI":"10.1017\/CBO9780511808968"},{"key":"2015081808585888000_3.3.469.43","doi-asserted-by":"crossref","unstructured":"Gallager R. G. (1963) Low-density parity check codes. Ph.D. Thesis, MIT Press, Cambridge, MA.","DOI":"10.7551\/mitpress\/4347.001.0001"},{"key":"2015081808585888000_3.3.469.44","doi-asserted-by":"crossref","unstructured":"M\u00e9zard M. Montanari A. (2009) Information, Physics & Computation. Oxford: Oxford University Press.","DOI":"10.1093\/acprof:oso\/9780198570837.001.0001"},{"key":"2015081808585888000_3.3.469.45","unstructured":"Pearl J. (1988) Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. San Francisco, CA, USA: Morgan Kaufmann Publishers, Inc."},{"key":"2015081808585888000_3.3.469.46","unstructured":"Yedidia J. S. Freeman W. T. Weiss Y. (2003) Exploring artificial intelligence in the new millennium. Understanding Belief Propagation and Its Generalizations. San Francisco, CA, USA: Morgan Kaufmann Publishers, Inc., pp. 239\u2013269."},{"key":"2015081808585888000_3.3.469.47","doi-asserted-by":"publisher","DOI":"10.1126\/science.286.5439.509"},{"key":"2015081808585888000_3.3.469.48","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1024404276"},{"key":"2015081808585888000_3.3.469.49","doi-asserted-by":"publisher","DOI":"10.1086\/261849"},{"key":"2015081808585888000_3.3.469.50","doi-asserted-by":"publisher","DOI":"10.2307\/2118364"},{"key":"2015081808585888000_3.3.469.51","doi-asserted-by":"publisher","DOI":"10.1142\/S0129183100000936"},{"key":"2015081808585888000_3.3.469.52","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.80.021119"},{"key":"2015081808585888000_3.3.469.53","doi-asserted-by":"publisher","DOI":"10.1142\/S0219525900000078"},{"key":"2015081808585888000_3.3.469.54","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.74.47"},{"key":"2015081808585888000_3.3.469.55","doi-asserted-by":"publisher","DOI":"10.1142\/S0129183104006728"},{"key":"2015081808585888000_3.3.469.56","unstructured":"Alon N. Krivelevich M. Sudakov B. (1998) Finding a Large Hidden Clique in a Random Graph. SODA ( Karloff H. J. ed.). ACM\/SIAM, pp. 594\u2013598."},{"key":"2015081808585888000_3.3.469.57","unstructured":"Deshpande Y. Montanari A. Finding hidden cliques of size $\\sqrt {N\/e}$ in nearly linear time. arXiv preprint arXiv:1304.7047."},{"key":"2015081808585888000_3.3.469.58","doi-asserted-by":"crossref","unstructured":"Boyd S. Parikh N. Chu E. Peleato B. Eckstein J. (2011) Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn., 3, 1\u2013122.","DOI":"10.1561\/2200000016"},{"key":"2015081808585888000_3.3.469.59","unstructured":"Zhou K. Zha H. Song L. (2013) Learning social infectivity in sparse low-rank networks using multi-dimensional hawkes processes. AISTATS, vol. 31 of JMLR Proceedings, JMLR.org, pp. 641\u2013649."},{"key":"2015081808585888000_3.3.469.60","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008203903341"},{"key":"2015081808585888000_3.3.469.61","doi-asserted-by":"publisher","DOI":"10.1057\/jam.2010.4"},{"key":"2015081808585888000_3.3.469.62","doi-asserted-by":"crossref","unstructured":"Chan L. K. C. Lakonishok J. Swaminathan B. (2007) Industry classifications and return comovement. Finan. Anal. J., 63, 56\u201370.","DOI":"10.2469\/faj.v63.n6.4927"},{"key":"2015081808585888000_3.3.469.63","doi-asserted-by":"publisher","DOI":"10.1137\/120875338"},{"key":"2015081808585888000_3.3.469.64","doi-asserted-by":"crossref","unstructured":"Wigner E. P. (1955) Characteristic vectors of bordered matrices with infinite dimensions. Ann. Math., 62, 548\u2013564.","DOI":"10.2307\/1970079"},{"key":"2015081808585888000_3.3.469.65","doi-asserted-by":"publisher","DOI":"10.2307\/1970008"},{"key":"2015081808585888000_3.3.469.66","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-005-0466-z"},{"key":"2015081808585888000_3.3.469.67","doi-asserted-by":"crossref","unstructured":"Boyd S. Ghaoui L. E. Feron E. Balakrishnan V. (1994) Linear Matrix Inequalities in System and Control Theory. vol. 15. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM).","DOI":"10.1137\/1.9781611970777"}],"container-title":["Journal of Complex Networks"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/academic.oup.com\/comnet\/article-pdf\/3\/3\/469\/1085523\/cnu050.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,28]],"date-time":"2022-04-28T03:26:46Z","timestamp":1651116406000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/comnet\/article-lookup\/doi\/10.1093\/comnet\/cnu050"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,30]]},"references-count":67,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2015,8,18]]},"published-print":{"date-parts":[[2015,9]]}},"alternative-id":["10.1093\/comnet\/cnu050"],"URL":"https:\/\/doi.org\/10.1093\/comnet\/cnu050","relation":{},"ISSN":["2051-1310","2051-1329"],"issn-type":[{"value":"2051-1310","type":"print"},{"value":"2051-1329","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1,30]]}}}