{"id":146,"date":"2020-03-11T09:07:08","date_gmt":"2020-03-11T09:07:08","guid":{"rendered":"https:\/\/networks.ph.biu.ac.il\/?page_id=146"},"modified":"2020-03-15T06:55:02","modified_gmt":"2020-03-15T06:55:02","slug":"random-graphs-the-mathematical-framework-behind-network-science","status":"publish","type":"page","link":"https:\/\/networks.ph.biu.ac.il\/?page_id=146","title":{"rendered":"Random Graphs &#8212; the mathematical framework behind network science"},"content":{"rendered":"\n<p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nDr. Simi Haber\n\n\n\n<\/p>\n\n\n\n<hr class=\"wp-block-separator is-style-wide\"\/>\n\n\n\n<p align=\"justify\"> Random graphs serve as models for complex networks. We will present the classic model of Erd\u0151s and R\u00e9nyi and describe the phase transition it goes through. After a discussion on the merits required from a model of complex networks, we will study generalized random graphs,\u00a0 the configuration model and preferential attachment models, and learn about the advantages each model offers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dr. Simi Haber Random graphs serve as models for complex networks. We will present the classic model of Erd\u0151s and R\u00e9nyi and describe the phase transition it goes through. After a discussion on the merits required from a model of complex networks, we will study generalized random graphs,\u00a0 the configuration model and preferential attachment models, &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/networks.ph.biu.ac.il\/?page_id=146\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Random Graphs &#8212; the mathematical framework behind network science&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/networks.ph.biu.ac.il\/index.php?rest_route=\/wp\/v2\/pages\/146"}],"collection":[{"href":"https:\/\/networks.ph.biu.ac.il\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/networks.ph.biu.ac.il\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/networks.ph.biu.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/networks.ph.biu.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=146"}],"version-history":[{"count":3,"href":"https:\/\/networks.ph.biu.ac.il\/index.php?rest_route=\/wp\/v2\/pages\/146\/revisions"}],"predecessor-version":[{"id":154,"href":"https:\/\/networks.ph.biu.ac.il\/index.php?rest_route=\/wp\/v2\/pages\/146\/revisions\/154"}],"wp:attachment":[{"href":"https:\/\/networks.ph.biu.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}