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Ther."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.jtrangeo.2015.04.005","article-title":"Four shades of Open Skies: European Union and four main external partners","volume":"50","author":"Christidis","year":"2016","journal-title":"J. Transp. Geogr."},{"key":"ref_6","first-page":"829","article-title":"The analysis of key nodes in complex social networks, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)","volume":"10603","author":"Pan","year":"2017","journal-title":"LNCS"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Christidis, P., and Losada, A.G. (2019). Email based institutional network analysis: Applications and risks. Soc. Sci., 8.","DOI":"10.3390\/socsci8110306"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"721","DOI":"10.1126\/science.1167742","article-title":"Social science: Computational social science","volume":"323","author":"Lazer","year":"2009","journal-title":"Science"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1126\/science.aad9029","article-title":"Higher-order organization of complex networks","volume":"353","author":"Benson","year":"2016","journal-title":"Science"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.chaos.2017.12.007","article-title":"Directed clustering in weighted networks: A new perspective","volume":"107","author":"Clemente","year":"2018","journal-title":"Chaos Solitons Fractals"},{"key":"ref_11","unstructured":"Clemente, G.P., and Grassi, R. (2020, March 31). Directed Weighted Clustering Coefficient (Package \u2018DirectedClustering\u2019). Available online: https:\/\/cran.r-project.org\/web\/packages\/DirectedClustering\/DirectedClustering.pdf."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/S0378-8733(03)00009-1","article-title":"Friends and neighbors on the web","volume":"25","author":"Adamic","year":"2001","journal-title":"Soc. Netw."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"3747","DOI":"10.1073\/pnas.0400087101","article-title":"The architecture of complex weighted networks","volume":"101","author":"Barrat","year":"2004","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1038\/30918","article-title":"Collective dynamics of \u2018small-world\u2019 networks","volume":"393","author":"Watts","year":"1998","journal-title":"Nature"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"026107","DOI":"10.1103\/PhysRevE.76.026107","article-title":"Clustering in complex directed networks","volume":"76","author":"Fagiolo","year":"2007","journal-title":"Phys. Rev. E"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"036115","DOI":"10.1103\/PhysRevE.79.036115","article-title":"World-trade web: Topological properties, dynamics, and evolution, Physical Review E\u2014Statistical","volume":"79","author":"Fagiolo","year":"2008","journal-title":"Phys. Rev. E Stat. Nonlin. Soft Matter Phys."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"4165","DOI":"10.1016\/j.physa.2011.12.021","article-title":"Social structure of Facebook networks","volume":"391","author":"Traud","year":"2012","journal-title":"Phys. A"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Chen, D.B., Gao, H., L\u00fc, L., and Zhou, T. (2013). Identifying influential nodes in large-scale directed networks: The role of clustering. PLoS ONE, 8.","DOI":"10.1371\/journal.pone.0077455"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Myers, S.A., Sharma, A., Gupta, P., and Lin, J. (2014, January 7\u201311). Information network or social network? The structure of the twitter follow graph, WWW 2014 Companion. Proceedings of the 23rd International Conference on World Wide Web, Seoul, Korea.","DOI":"10.1145\/2567948.2576939"},{"key":"ref_20","unstructured":"Hangal, S., MacLean, D., Lam, M., and Heer, J. (2010, January 24\u201328). All Friends are Not Equal: Using Weights in Social Graphs to Improve Search. Proceedings of the Fourth ACM Workshop on Social Network Mining and Analysis Held in Conjunction with ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (KDD), Washington, DC, USA."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Portela, J., Villalba, L.J.G., Silva Trujillo, A.G., Sandoval Orozco, A.L., and Kim, T.-H. (2016). Estimation of anonymous email network characteristics through statistical disclosure attacks. Sensors, 16.","DOI":"10.3390\/s16111832"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Chen, Q., Su, H., Liu, J., Yan, B., Zheng, H., and Zhao, H. (2019). In Pursuit of social capital: Upgrading social circle through edge rewiring. Web Big Data.","DOI":"10.1007\/978-3-030-26072-9_15"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Tang, J., Lou, T., and Kleinberg, J. (2012, January 8\u201312). Inferring social ties across heterogenous networks. Proceedings of the Fifth ACM International Conference on Web Search and Data Mining, ACM, Washington, DC, USA.","DOI":"10.1145\/2124295.2124382"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1016\/j.dss.2012.12.003","article-title":"Living a private life in public social networks: An exploration of member self-disclosure","volume":"55","author":"Chen","year":"2013","journal-title":"Decis. Support Syst."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Saqr, M., Fors, U., and Nouri, J. (2018). Using social network analysis to understand online problem-based learning and predict performance. PLoS ONE, 13.","DOI":"10.1371\/journal.pone.0203590"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Yin, H., Benson, A.R., Leskovec, J., and Gleich, D.F. (2017, January 13\u201317). Local Higher-order Graph Clustering. Proceedings of the 23rd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, New York, NY, USA.","DOI":"10.1145\/3097983.3098069"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"2-es","DOI":"10.1145\/1217299.1217301","article-title":"Graph Evolution: Densification and Shrinking Diameters","volume":"1","author":"Leskovec","year":"2007","journal-title":"Acm Tkdd"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/0378-8733(78)90021-7","article-title":"Centrality in networks: I. Conceptual clarification","volume":"1","author":"Freeman","year":"1979","journal-title":"Soc. Netw."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Marsden, P. (2015). Measures of Network Centrality. International Encyclopedia of the Social & Behavioral Sciences, Elsevier. [2nd ed.].","DOI":"10.1016\/B978-0-08-097086-8.43115-6"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1121\/1.1906679","article-title":"Communication patterns in task-oriented groups","volume":"22","author":"Bavelas","year":"1950","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1016\/S0378-4371(00)00311-3","article-title":"Harmony in the small-world","volume":"285","author":"Marchiori","year":"2000","journal-title":"Phys. A"},{"key":"ref_32","first-page":"1","article-title":"The igraph software package for complex network research","volume":"1695","author":"Csardi","year":"2006","journal-title":"Int. J. Complex Syst."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.socnet.2009.02.002","article-title":"Clustering in Weighted Networks","volume":"31","author":"Opsahl","year":"2009","journal-title":"Soc. Netw."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"3037","DOI":"10.1007\/s00500-017-2951-6","article-title":"Weighted network graph for interpersonal communication with temporal regularity","volume":"23","author":"Shinkuma","year":"2019","journal-title":"Soft Comput."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1002\/asi.21015","article-title":"Patterns and dynamics of users\u2019 behavior and interaction: Network analysis of an online community","volume":"60","author":"Panzarasa","year":"2009","journal-title":"J. Am. Soc. Inf. Sci. Technol."},{"key":"ref_36","unstructured":"Klimmt, B., and Yang, Y. (2020, March 31). Introducing the Enron Corpus, CEAS Conference. Available online: http:\/\/ceas.cc\/2004\/168.pdf."}],"container-title":["Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2078-2489\/11\/4\/189\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:14:01Z","timestamp":1760174041000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2078-2489\/11\/4\/189"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,1]]},"references-count":36,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2020,4]]}},"alternative-id":["info11040189"],"URL":"https:\/\/doi.org\/10.3390\/info11040189","relation":{},"ISSN":["2078-2489"],"issn-type":[{"value":"2078-2489","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,4,1]]}}}