Towards Information Inequalities for Generalized Graph Entropies
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{"title"=>"Towards information inequalities for generalized graph entropies", "type"=>"journal", "authors"=>[{"first_name"=>"Lavanya", "last_name"=>"Sivakumar", "scopus_author_id"=>"54992601600"}, {"first_name"=>"Matthias", "last_name"=>"Dehmer", "scopus_author_id"=>"13404645900"}], "year"=>2012, "source"=>"PLoS ONE", "identifiers"=>{"pmid"=>"22715375", "sgr"=>"84862021626", "arxiv"=>"1202.5685", "doi"=>"10.1371/journal.pone.0038159", "scopus"=>"2-s2.0-84862021626", "pui"=>"364979429", "isbn"=>"1932-6203 (Electronic)\\r1932-6203 (Linking)", "issn"=>"19326203"}, "id"=>"1e9dde9a-f655-3735-aaba-1c853b116e95", "abstract"=>"In this article, we discuss the problem of establishing relations between information measures assessed for network structures. Two types of entropy based measures namely, the Shannon entropy and its generalization, the R\\'{e}nyi entropy have been considered for this study. Our main results involve establishing formal relationship, in the form of implicit inequalities, between these two kinds of measures when defined for graphs. Further, we also state and prove inequalities connecting the classical partition-based graph entropies and the functional-based entropy measures. In addition, several explicit inequalities are derived for special classes of graphs.", "link"=>"http://www.mendeley.com/research/towards-information-inequalities-generalized-graph-entropies", "reader_count"=>13, "reader_count_by_academic_status"=>{"Unspecified"=>2, "Professor > Associate Professor"=>2, "Researcher"=>5, "Student > Doctoral Student"=>1, "Student > Master"=>2, "Professor"=>1}, "reader_count_by_user_role"=>{"Unspecified"=>2, "Professor > Associate Professor"=>2, "Researcher"=>5, "Student > Doctoral Student"=>1, "Student > Master"=>2, "Professor"=>1}, "reader_count_by_subject_area"=>{"Engineering"=>2, "Unspecified"=>4, "Mathematics"=>1, "Agricultural and Biological Sciences"=>3, "Medicine and Dentistry"=>1, "Computer Science"=>2}, "reader_count_by_subdiscipline"=>{"Engineering"=>{"Engineering"=>2}, "Medicine and Dentistry"=>{"Medicine and Dentistry"=>1}, "Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>3}, "Computer Science"=>{"Computer Science"=>2}, "Mathematics"=>{"Mathematics"=>1}, "Unspecified"=>{"Unspecified"=>4}}, "reader_count_by_country"=>{"United States"=>2, "United Kingdom"=>1, "Mexico"=>1, "Spain"=>1}, "group_count"=>2}

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Relative Metric

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