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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>A State of the Art on Social Network Analysis and its Applications on a Semantic Web</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Guillaume Erétéo</string-name>
          <email>guillaume.ereteo@orange-ftgroup.com</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Michel Buffa</string-name>
          <email>buffa@unice.fr</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Fabien Gandon</string-name>
          <email>fabien.gandon@sophia.inria.fr</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Patrick Grohan</string-name>
          <email>patrick.grohan@orange-ftgroup.com</email>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mylène Leitzelman</string-name>
          <email>mylene.leitzelman@telecom-paristech.fr</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Peter Sander</string-name>
          <email>sander@polytech.unice.fr</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>EDELWEISS</institution>
          ,
          <addr-line>INRIA Sophia-Antipolis</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>KEWI</institution>
          ,
          <addr-line>I3S</addr-line>
          ,
          <institution>Université of Nice</institution>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Telecom ParisTech</institution>
          ,
          <addr-line>Sophia Antipolis</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>The increasingly popular web 2.0 sites provide the largest social network ever analyzed - users are now considered as plain web resources. Some researchers apply classical methods of social network analysis to such networks; others provide models to leverage the semantics of their representation. We present a state of the art of these two approaches and propose an architecture to merge and exploit the best features of each.</p>
      </abstract>
      <kwd-group>
        <kwd>social network analysis</kwd>
        <kwd>semantic web</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>1 Introduction</p>
      <p>
        Research conducted on large social networks has principally concerned interviews,
enterprise human resources mining, or scientific publications references [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] [
        <xref ref-type="bibr" rid="ref39">39</xref>
        ] [
        <xref ref-type="bibr" rid="ref51">51</xref>
        ]
[
        <xref ref-type="bibr" rid="ref53">53</xref>
        ]. However, since its birth in 1992, the web has provided many ways of interaction
between people [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], revealing social network structures [
        <xref ref-type="bibr" rid="ref54">54</xref>
        ], a phenomenon amplified
by the emergence of the web 2.0 [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ]. Social networks have been extracted from
email communications [
        <xref ref-type="bibr" rid="ref52">52</xref>
        ], hyperlink structure of home pages [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], co-occurrence of
names [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ] [
        <xref ref-type="bibr" rid="ref39">39</xref>
        ] [
        <xref ref-type="bibr" rid="ref37">37</xref>
        ] [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ], and from web 2.0 applications [
        <xref ref-type="bibr" rid="ref39">39</xref>
        ]. Dedicated online
platforms such as Facebook and Myspace now provide huge amounts of structured
social network data to exploit.
      </p>
      <p>In the first part of this paper we recall some classical work from Social Network
Analysis (SNA), in particular we detail the popular models used by researchers for
representing and visualizing social networks. Definitions of the features that
characterize these networks will be presented as well as the corresponding algorithms.
In a second part, we discuss the use of semantic web languages and technologies to
represent social networks. Finally, we will show that these enhanced representations
are a step forward to what we call the “semantic social network analysis” of online
interactions.</p>
      <p>
        The first representations of social network were sociograms [
        <xref ref-type="bibr" rid="ref38">38</xref>
        ] where people are
represented by points and relationships by lines connecting them. Much research has
been conducted on SNA based on this graph-based view using graph theory [
        <xref ref-type="bibr" rid="ref51">51</xref>
        ] [
        <xref ref-type="bibr" rid="ref53">53</xref>
        ].
Among important results is the identification of sociometric features that characterize
a network. The density indicates the cohesion of the network. The centrality
highlights the most important actors of the network and three definitions have been
proposed [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. The degree centrality considers nodes with the higher degrees
(number of adjacent edges). The closeness centrality is based on the average length
of the paths (number of edges) linking a node to others and reveals the capacity of a
node to be reached. The betweenness centrality focuses on the capacity of a node to
be an intermediary between any two other nodes. A network is highly dependent on
actors with high betweenness centrality and these actors have a strategic advantage
due to their position as intermediaries and brokers [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ] [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. Its exact
computation is time consuming, several algorithms tackle this problem [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] [
        <xref ref-type="bibr" rid="ref42">42</xref>
        ] [
        <xref ref-type="bibr" rid="ref35">35</xref>
        ]
[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] with a minimum time complexity of O(n.m) - n is the number of vertices and m
the number of edges. To deal with large networks, approximating algorithms [
        <xref ref-type="bibr" rid="ref49">49</xref>
        ] [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]
[
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] and parallel algorithms [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] [
        <xref ref-type="bibr" rid="ref50">50</xref>
        ] have been proposed.
      </p>
      <p>
        Community detection helps understanding the global structure of a network and
the distribution of actors and activities [
        <xref ref-type="bibr" rid="ref51">51</xref>
        ]. Moreover, the community structure
influences the way information is shared and the way actors behave [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
Scott [
        <xref ref-type="bibr" rid="ref51">51</xref>
        ] gives three graph patterns that correspond to cohesive subgroups of actors
playing an important role in community detection: components (isolated connected
subgraphs), cliques (complete subgraphs), and cycles (paths returning to their point of
departure). Alternative definitions have also been proposed such as n-clique, n-clan
and k-plex that extend these initial concepts. Community detection algorithms are
decomposed into two categories, either hierarchical or based on heuristics [
        <xref ref-type="bibr" rid="ref44">44</xref>
        ] [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]
[
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. Two strategies are used in hierarchical algorithms: the divisive algorithms
consider the whole network and divide it iteratively into sub communities [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ] [
        <xref ref-type="bibr" rid="ref56">56</xref>
        ]
[
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] [
        <xref ref-type="bibr" rid="ref49">49</xref>
        ] and the agglomerative algorithms group nodes into larger and larger
communities [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] [
        <xref ref-type="bibr" rid="ref58">58</xref>
        ]. Other algorithms are based on heuristics such as random walk,
analogies to electrical networks or formula optimization [
        <xref ref-type="bibr" rid="ref45">45</xref>
        ] [
        <xref ref-type="bibr" rid="ref57">57</xref>
        ] [
        <xref ref-type="bibr" rid="ref48">48</xref>
        ].
      </p>
      <p>
        Social network graphs hold specific patterns that can be used to characterize them
[
        <xref ref-type="bibr" rid="ref43">43</xref>
        ] and accelerate algorithms. According to the small world effect [
        <xref ref-type="bibr" rid="ref40">40</xref>
        ], the order of
the shortest path between two actors in a social network of size n is log(n). Social
networks have an important clustering tendency and a community structure,
furthermore, the degree distribution follows a power law [
        <xref ref-type="bibr" rid="ref43">43</xref>
        ].
      </p>
      <p>These graph-based representations are only concerned with syntax – they all lack
semantics, and have an especially poor exploitation of the types of relations. We will
now see how recently online social networks started to be represented with rich
structured data incorporating semantics.</p>
      <p>Semantic web frameworks provide a graph model (RDF1), a query language
(SPARQL1) and type and definition systems (RDFS1 and OWL1) to represent and
exchange knowledge online. These frameworks provide a whole new way of
capturing social networks in much richer structures than raw graphs.</p>
      <p>
        Several ontologies can be used to represent social networks. The most popular is
FOAF2, used for describing people, their relationships and their activity. A large set
of properties is dedicated to the definition of a user profile: "family name", "nick",
"interest", etc. The “knows” property is used to connect people and to build a social
network. Other properties are available to describe web usages: online account,
weblog, memberships, etc. The properties defined in the RELATIONSHIP3 ontology
specialize the “knows” property of FOAF to type relationships in a social network
more precisely (familial, friendship or professional relationships). For instance the
relation “livesWith” specializes the relation “knows”. The primitives of the SIOC4
ontology specialize “OnlineAccount” and “HasOnlineAccount” from FOAF in order
to model the interactions and resources manipulated by social web applications; SIOC
defines concepts such as posts in forums, blogs, etc. Researchers [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] have shown that
SIOC and the other ontologies presented can be used and extended for linking reuse
scenarios and data from web 2.0 community sites.
      </p>
      <p>
        In parallel, web 2.0 applications made social tagging popular: users tag resources
of the web (pictures, video, blog posts etc.) The set of tags forms a folksonomy that
can be seen as a shared vocabulary that is both originated by, and familiar to, its
primary users [
        <xref ref-type="bibr" rid="ref39">39</xref>
        ]. Ontologies have been designed to capture and exploit the
activities of social tagging [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ] [
        <xref ref-type="bibr" rid="ref33">33</xref>
        ] [
        <xref ref-type="bibr" rid="ref46">46</xref>
        ] while researchers have attempted to bridge
folksonomies and ontologies to leverage the semantics of tags (see overview in [
        <xref ref-type="bibr" rid="ref36">36</xref>
        ]).
Once they are typed and structured, the relations between the tags and between the
tags and the users are also a new source of social networks.
      </p>
      <p>
        A lighter way to add semantics to the representation of persons and usages of the
web is to use microformats5 [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ]. Some microformats can be used for describing
user profiles, including resources and social networks. For example, hCard and
hResume microformats describe a person (name, email, address, personal resume etc.)
and XFN (XTML Friends Network) is useful for describing relationships.
      </p>
      <p>
        Millions of FOAF profiles [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ] are now published on the web, due to the adoption
of this ontology by web 2.0 platforms with large audiences (www.livejournal.net,
www.tribe.net). The acquaintance and expertise networks respectively formed by the
properties "foaf:knows" and "foaf:interest" reflect real social networks [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. As a
consequence, researchers have applied classical SNA methods to FOAF [
        <xref ref-type="bibr" rid="ref47">47</xref>
        ] [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ]
[
        <xref ref-type="bibr" rid="ref26">26</xref>
        ]. Much as today there is only one community of email users (anyone can mail
anyone), the adoption of standardized ontologies for non-specialist online social
networks will lead to increasing interoperability between them and to the need for
uniform tools to analyse and manage them.
      </p>
    </sec>
    <sec id="sec-2">
      <title>1 Semantic Web, W3C, http://www.w3.org/2001/sw/ 2 http://www.foaf-project.org/ 3 http://vocab.org/relationship/</title>
    </sec>
    <sec id="sec-3">
      <title>4 http://sioc-project.org/ 5 http://microformats.org/</title>
      <p>
        The online availability of social network data in different formats, the availability
of associated semantic models and the graph structure of the RDF language are
leading to a new way of analysing social networks. Current algorithms that are
applied to SNA are based on graph pattern detection and use very little semantics. The
semantics of sociometric patterns that are measured are never taken into account due
to the lack of semantics of the representation of the analysed networks. As an
example, community detection algorithms are based on graph structure characteristics
of social networks but none is based on a sociological definition of community [
        <xref ref-type="bibr" rid="ref55">55</xref>
        ]
and types of relations are under-exploited. Ontologies were designed to describe
particular communities [
        <xref ref-type="bibr" rid="ref41">41</xref>
        ] and can be an interesting way to extend community
detection among semantically described social networks.
      </p>
      <p>Web 2.0
GRDDL1</p>
      <p>SPARQL and extensions</p>
      <p>OntoSNA: Ontology for Social Networks Analysis
FOAF, RELATIONSHIP, SIOC, DC, SCOT, SKOS, MOAT</p>
      <p>RDF, RDFS, RDFa, OWL</p>
      <p>Domain ontologies</p>
      <p>Fig 1: A semantic social network analysis architecture</p>
      <p>
        We are designing an architecture (fig. 1) for a new tool to analyse online social
networks. This tool explores RDF-based annotations describing profiles and
interactions of users through social applications, using the conceptual vocabulary of
previously mentioned ontologies and domain specific ontologies. An ontology, called
OntoSNA (Ontology of Social Network Analysis), describes general sociometric
features and their links to social RDF data. Recently, SPARQL extensions have been
proposed for enhancing the RDF graph queries [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] [
        <xref ref-type="bibr" rid="ref34">34</xref>
        ] and have been implemented in
the search engine CORESE [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. These extensions enable us to extract paths in
RDF graphs by specifying multiple criteria such as the type of the properties involved
in the path with regular expressions, or edge directions or constraints on the vertices
that paths go through. We reuse these extensions and propose new ones dedicated to
SNA in order to make easier the analysis of RDF-based representations of social
networks. With such a tool, we can focus or parameterize the analysis specifying
types of resources or properties to be considered, and extend classical algorithms with
semantic features expressed in SPARQL and based on sociological definitions.
select count(?y) as ?cdegree
{
select count(?y) as ?cdegree
{
{?y foaf:knows ?x}
UNION
{?x foaf:knows ?y}
}
group by ?x
{?y relationship:worksWith ?x}
UNION
{?x relationship:worksWith ?y}
}
group by ?x
      </p>
      <p>We presented a state of the art on SNA and showed that while this research domain
has been exploited for a long time, its application to the
web opened new
perspectives. The web is now a major medium of communication in our society and,
as a consequence, an element of our socialization. The huge number of human
interactions through web 2.0 platforms reveal real social networks, and understanding
their life cycles is one of the challenges of knowledge sciences. Semantic models of
these interactions are well developed and some are now massively integrated into
online social applications. The semantic leverage of social data in a machine readable
format opens a new way for SNA and the enhancement of online social experiences.
We proposed an approach to go toward semantic-aware social network analysis.</p>
    </sec>
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