Multiplex PageRank
Publication Date
October 30, 2013
Journal
PLOS ONE
Authors
Arda Halu, Raúl J. Mondragón, Pietro Panzarasa & Ginestra Bianconi
Volume
8
Issue
10
Pages
e78293
DOI
https://dx.plos.org/10.1371/journal.pone.0078293
Publisher URL
http://journals.plos.org/plosone/article?id=10.1371%2Fjournal.pone.0078293
PubMed
http://www.ncbi.nlm.nih.gov/pubmed/24205186
PubMed Central
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3813491
Europe PMC
http://europepmc.org/abstract/MED/24205186
Web of Science
000326334500110
Scopus
84889258280
Mendeley
http://www.mendeley.com/research/multiplex-pagerank
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Mendeley | Further Information

{"title"=>"Multiplex PageRank", "type"=>"journal", "authors"=>[{"first_name"=>"Arda", "last_name"=>"Halu", "scopus_author_id"=>"35221520000"}, {"first_name"=>"Raul J.", "last_name"=>"Mondragón", "scopus_author_id"=>"7003507892"}, {"first_name"=>"Pietro", "last_name"=>"Panzarasa", "scopus_author_id"=>"6602241741"}, {"first_name"=>"Ginestra", "last_name"=>"Bianconi", "scopus_author_id"=>"6701555846"}], "year"=>2013, "source"=>"PLoS ONE", "identifiers"=>{"issn"=>"19326203", "arxiv"=>"1306.3576", "scopus"=>"2-s2.0-84889258280", "pui"=>"604820775", "doi"=>"10.1371/journal.pone.0078293", "sgr"=>"84889258280", "pmid"=>"24205186"}, "id"=>"f8b96349-ea58-30c6-8800-5b0da164fff6", "abstract"=>"Many complex systems can be described as multiplex networks in which the same nodes can interact with one another in different layers, thus forming a set of interacting and co-evolving networks. Examples of such multiplex systems are social networks where people are involved in different types of relationships and interact through various forms of communication media. The ranking of nodes in multiplex networks is one of the most pressing and challenging tasks that research on complex networks is currently facing. When pairs of nodes can be connected through multiple links and in multiple layers, the ranking of nodes should necessarily reflect the importance of nodes in one layer as well as their importance in other interdependent layers. In this paper, we draw on the idea of biased random walks to define the Multiplex PageRank centrality measure in which the effects of the interplay between networks on the centrality of nodes are directly taken into account. In particular, depending on the intensity of the interaction between layers, we define the Additive, Multiplicative, Combined, and Neutral versions of Multiplex PageRank, and show how each version reflects the extent to which the importance of a node in one layer affects the importance the node can gain in another layer. We discuss these measures and apply them to an online multiplex social network. Findings indicate that taking the multiplex nature of the network into account helps uncover the emergence of rankings of nodes that differ from the rankings obtained from one single layer. Results provide support in favor of the salience of multiplex centrality measures, like Multiplex PageRank, for assessing the prominence of nodes embedded in multiple interacting networks, and for shedding a new light on structural properties that would otherwise remain undetected if each of the interacting networks were analyzed in isolation.", "link"=>"http://www.mendeley.com/research/multiplex-pagerank", "reader_count"=>93, "reader_count_by_academic_status"=>{"Unspecified"=>2, "Professor > Associate Professor"=>5, "Student > Doctoral Student"=>4, "Researcher"=>16, "Student > Ph. D. Student"=>29, "Student > Postgraduate"=>6, "Student > Master"=>14, "Other"=>2, "Student > Bachelor"=>4, "Lecturer > Senior Lecturer"=>2, "Professor"=>9}, "reader_count_by_user_role"=>{"Unspecified"=>2, "Professor > Associate Professor"=>5, "Student > Doctoral Student"=>4, "Researcher"=>16, "Student > Ph. D. Student"=>29, "Student > Postgraduate"=>6, "Student > Master"=>14, "Other"=>2, "Student > Bachelor"=>4, "Lecturer > Senior Lecturer"=>2, "Professor"=>9}, "reader_count_by_subject_area"=>{"Unspecified"=>8, "Agricultural and Biological Sciences"=>9, "Business, Management and Accounting"=>1, "Computer Science"=>26, "Economics, Econometrics and Finance"=>3, "Engineering"=>6, "Biochemistry, Genetics and Molecular Biology"=>2, "Mathematics"=>8, "Medicine and Dentistry"=>2, "Neuroscience"=>1, "Physics and Astronomy"=>24, "Psychology"=>1, "Social Sciences"=>2}, "reader_count_by_subdiscipline"=>{"Medicine and Dentistry"=>{"Medicine and Dentistry"=>2}, "Social Sciences"=>{"Social Sciences"=>2}, "Physics and Astronomy"=>{"Physics and Astronomy"=>24}, "Psychology"=>{"Psychology"=>1}, "Mathematics"=>{"Mathematics"=>8}, "Unspecified"=>{"Unspecified"=>8}, "Engineering"=>{"Engineering"=>6}, "Neuroscience"=>{"Neuroscience"=>1}, "Economics, Econometrics and Finance"=>{"Economics, Econometrics and Finance"=>3}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>9}, "Computer Science"=>{"Computer Science"=>26}, "Business, Management and Accounting"=>{"Business, Management and Accounting"=>1}, "Biochemistry, Genetics and Molecular Biology"=>{"Biochemistry, Genetics and Molecular Biology"=>2}}, "reader_count_by_country"=>{"Austria"=>1, "Iran"=>1, "United States"=>4, "Japan"=>1, "Ireland"=>1, "United Kingdom"=>1, "Italy"=>3, "France"=>1, "Spain"=>2}, "group_count"=>6}

CrossRef

Scopus | Further Information

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Figshare

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  • {"files"=>["https://ndownloader.figshare.com/files/1554712"], "description"=>"<p>The damping factors used for the IM and forum data are .</p>", "links"=>[], "tags"=>["multiplex", "pageranks", "plotted", "im-forum"], "article_id"=>1074510, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Arda Halu", "Raúl J. Mondragón", "Pietro Panzarasa", "Ginestra Bianconi"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0078293.g003", "stats"=>{"downloads"=>0, "page_views"=>7, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_Additive_Multiplicative_Combined_and_Neutral_users_Multiplex_PageRanks_plotted_against_the_mean_field_expectation_solid_line_for_the_IM_forum_multiplex_network_dataset_/1074510", "title"=>"The Additive, Multiplicative, Combined, and Neutral users’ Multiplex PageRanks plotted against the mean field expectation (solid line) for the IM-forum multiplex network dataset.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-10-30 10:22:12"}
  • {"files"=>["https://ndownloader.figshare.com/files/1554723"], "description"=>"<p>In the figure and . Note that the node with rank is the most important node of the network, and therefore the Additive and Multiplicative Multiplex PageRanks of the most important nodes of the online social network are correlated, respectively, with a linear combination or the product of the users’ in-degrees and degrees.</p>", "links"=>[], "tags"=>["ranks", "users", "in-degrees", "degrees", "plotted", "additive", "multiplicative", "multiplex"], "article_id"=>1074521, "categories"=>["Biological Sciences", "Science Policy"], "users"=>["Arda Halu", "Raúl J. Mondragón", "Pietro Panzarasa", "Ginestra Bianconi"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0078293.g005", "stats"=>{"downloads"=>1, "page_views"=>6, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_estimated_ranks_of_users_according_to_the_sum_and_product_of_their_in_degrees_and_degrees_plotted_against_the_values_of_their_Additive_and_Multiplicative_Multiplex_PageRank_respectively_/1074521", "title"=>"The estimated ranks of users according to the sum and product of their in-degrees and degrees plotted against the values of their Additive and Multiplicative Multiplex PageRank, respectively.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2013-10-30 10:22:12"}

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Relative Metric

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