2015
DOI: 10.1140/epjb/e2015-60226-y
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Community detection in directed acyclic graphs

Abstract: Abstract. Some temporal networks, most notably citation networks, are naturally represented as directed acyclic graphs (DAGs). To detect communities in DAGs, we propose a modularity for DAGs by defining an appropriate null model (i.e., randomized network) respecting the order of nodes. We implement a spectral method to approximately maximize the proposed modularity measure and test the method on citation networks and other DAGs. We find that the attained values of the modularity for DAGs are similar for partit… Show more

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Cited by 22 publications
(16 citation statements)
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“…Multiplex networks have been used to model citation networks mainly for clustering purpose (Boden et al 2012; Dong et al 2012; Renoust et al 2014; Speidel et al 2015). Boden et al (2012) model the multiplex network from the keyword-publication associations in order to create clusters of publications of similar topic.…”
Section: Related Workmentioning
confidence: 99%
See 1 more Smart Citation
“…Multiplex networks have been used to model citation networks mainly for clustering purpose (Boden et al 2012; Dong et al 2012; Renoust et al 2014; Speidel et al 2015). Boden et al (2012) model the multiplex network from the keyword-publication associations in order to create clusters of publications of similar topic.…”
Section: Related Workmentioning
confidence: 99%
“…Renoust et al (2014) use an approach closer to Boden’s, with the different goal to find cohesive groups of co-authors in an author-publication network. Analysis of multiplex DAGs has also recently been proposed by Speidel et al (2015) using the same arXiv HEP-Th dataset that we use, with the difference that layers are defined by year of publication. Beyond community detection, Pujari and Kanawati (2015) investigated the multiplex citation networks to predict the creation of link between authors: from the citation network they infer a multiplex network of authors and predict links, based on community structure.…”
Section: Related Workmentioning
confidence: 99%
“…In recent years, the literature has proposed many new methods to cluster a directed network [1525], including naïve network transformation, transformations maintaining directionality, extending an existing method for a directed network, and other innovative new approaches [15]; among them, only a few demonstrate their methods using citation networks [20, 23]. Moreover, only one of them specifically addresses the directed acyclic network [25], by proposing ‘modularity’ (quality measure for clustering results) for such a network and applying the method to two citation networks among others. This study finds that the resulting modularity values are similar, whether directionality is taken into account or not, and that the resulting subnetworks are also fairly similar when compared against those reported elsewhere.…”
Section: Methodsmentioning
confidence: 99%
“…In this section, we describe the DAG representation of a temporal network, which is useful when solving problems related to temporal paths and describing the centrality notions we will introduce in Section 3. This DAG representation and its variants have been considered in the analysis of temporal networks [15,[36][37][38][39][40]. For temporal network G = (V, E), the DAG representation of G, denoted by G = ( V , E), is constructed as follows.…”
Section: Directed Acyclic Graph Representationmentioning
confidence: 99%