{"id":3208,"date":"2023-04-11T14:02:12","date_gmt":"2023-04-11T14:02:12","guid":{"rendered":"https:\/\/datalab.luiss.it\/?post_type=ricerche&#038;p=3208"},"modified":"2023-11-30T09:44:14","modified_gmt":"2023-11-30T09:44:14","slug":"connectivity-of-poissonian-inhomogeneous-random-multigraphs","status":"publish","type":"ricerche","link":"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/","title":{"rendered":"Connectivity of Poissonian inhomogeneous random multigraphs\u00a0"},"content":{"rendered":"\n<p>In the study of complex networks, one of the most challenging tasks is to construct mathematical models that are flexible enough to reproduce phenomena observed in the real world, yet simple enough to be both simulated and studied analytically. This paper develops a highly general model of random networks in which connections appear with arbitrary probabilities independently of each other. The calculation explores how the probability of the entire network being connected behaves as its total size grows. As observed in many cases studied in the scientific literature so far, this behavior depends on the properties of the most peripheral elements of the network.<\/p>\n\n\n\n<p><strong>Read the entire paper <a href=\"https:\/\/datalab.luiss.it\/wp-content\/uploads\/2023\/04\/1441-9019-1-PB.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">HERE<\/a><\/strong><\/p>\n\n\n\n<p>By Lorenzo Federico &#8211; the research was also conducted at the University of Warwick.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the study of complex networks, one of the most challenging tasks is to construct mathematical models that are flexible enough to reproduce phenomena observed in the real world, yet simple enough to be both simulated and studied analytically. This paper develops a highly general model of random networks in which connections appear with arbitrary [&hellip;]<\/p>\n","protected":false},"featured_media":2989,"template":"","categories":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Connectivity of Poissonian inhomogeneous random multigraphs\u00a0 - Luiss Data Lab<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Connectivity of Poissonian inhomogeneous random multigraphs\u00a0 - Luiss Data Lab\" \/>\n<meta property=\"og:description\" content=\"In the study of complex networks, one of the most challenging tasks is to construct mathematical models that are flexible enough to reproduce phenomena observed in the real world, yet simple enough to be both simulated and studied analytically. This paper develops a highly general model of random networks in which connections appear with arbitrary [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/\" \/>\n<meta property=\"og:site_name\" content=\"Luiss Data Lab\" \/>\n<meta property=\"article:modified_time\" content=\"2023-11-30T09:44:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/datalab.luiss.it\/wp-content\/uploads\/2023\/04\/abstract-networking-concept-still-life-assortment-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2560\" \/>\n\t<meta property=\"og:image:height\" content=\"1707\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/datalab.luiss.it\/#website\",\"url\":\"https:\/\/datalab.luiss.it\/\",\"name\":\"Luiss Data Lab\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/datalab.luiss.it\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/#primaryimage\",\"url\":\"https:\/\/datalab.luiss.it\/wp-content\/uploads\/2023\/04\/abstract-networking-concept-still-life-assortment-scaled.jpg\",\"contentUrl\":\"https:\/\/datalab.luiss.it\/wp-content\/uploads\/2023\/04\/abstract-networking-concept-still-life-assortment-scaled.jpg\",\"width\":2560,\"height\":1707},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/#webpage\",\"url\":\"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/\",\"name\":\"Connectivity of Poissonian inhomogeneous random multigraphs\u00a0 - Luiss Data Lab\",\"isPartOf\":{\"@id\":\"https:\/\/datalab.luiss.it\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/#primaryimage\"},\"datePublished\":\"2023-04-11T14:02:12+00:00\",\"dateModified\":\"2023-11-30T09:44:14+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/datalab.luiss.it\/en\/home\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Ricerche\",\"item\":\"https:\/\/datalab.luiss.it\/ricerche\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Connectivity of Poissonian inhomogeneous random multigraphs\u00a0\"}]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Connectivity of Poissonian inhomogeneous random multigraphs\u00a0 - Luiss Data Lab","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/datalab.luiss.it\/en\/ricerche\/connectivity-of-poissonian-inhomogeneous-random-multigraphs\/","og_locale":"en_US","og_type":"article","og_title":"Connectivity of Poissonian inhomogeneous random multigraphs\u00a0 - Luiss Data Lab","og_description":"In the study of complex networks, one of the most challenging tasks is to construct mathematical models that are flexible enough to reproduce phenomena observed in the real world, yet simple enough to be both simulated and studied analytically. 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