The Analysis of Split Graphs in Social Networks Based on the k-Cardinality Assignment Problem

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Social Networks Based on the k-Cardinality Assignment Problem</title> <meta name="description" content="The Analysis of Split Graphs in Social Networks Based on the k-Cardinality Assignment Problem"> <meta name="keywords" content="cliques, independent sets, k-cardinality assignment, social networks, split graphs"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img 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publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">The Analysis of Split Graphs in Social Networks Based on the k-Cardinality Assignment Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ivan%20Belik">Ivan Belik</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In terms of social networks split graphs correspond to the variety of interpersonal and intergroup relations. In this paper we analyse the interaction between the cliques (socially strong and trusty groups) and the independent sets (fragmented and non-connected groups of people) as the basic components of any split graph. Based on the Semi-Lagrangean relaxation for the k-cardinality assignment problem we show the way of how to minimize the socially risky interactions between the cliques and the independent sets within the social network. <iframe src="https://publications.waset.org/abstracts/15143.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cliques" title="cliques">cliques</a>, <a href="https://publications.waset.org/abstracts/search?q=independent%20sets" title=" independent sets"> independent sets</a>, <a href="https://publications.waset.org/abstracts/search?q=k-cardinality%20assignment" title=" k-cardinality assignment"> k-cardinality assignment</a>, <a href="https://publications.waset.org/abstracts/search?q=social%20networks" title=" social networks"> social networks</a>, <a href="https://publications.waset.org/abstracts/search?q=split%20graphs" title=" split graphs"> split graphs</a> </p> <a href="https://publications.waset.org/abstracts/15143/the-analysis-of-split-graphs-in-social-networks-based-on-the-k-cardinality-assignment-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15143.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">320</span> </span> </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational 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The Analysis of Split Graphs in Social Networks Based on the k-Cardinality Assignment Problem