{"id":"https://openalex.org/W1559537901","doi":"https://doi.org/10.37236/1852","title":"Propagation of Mean Degrees","display_name":"Propagation of Mean Degrees","publication_year":2004,"publication_date":"2004-07-26","ids":{"openalex":"https://openalex.org/W1559537901","doi":"https://doi.org/10.37236/1852","mag":"1559537901"},"language":"en","primary_location":{"id":"doi:10.37236/1852","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1852","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1n11/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1n11/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032828042","display_name":"Dieter Rautenbach","orcid":"https://orcid.org/0000-0002-7214-042X"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Dieter Rautenbach","raw_affiliation_strings":["Forschungsinstitut fr Diskrete Mathematik Universitt Bonn Lennstr. 2, D-53113 Bonn, Germany","Forschungsinstitut f\u00fcr Diskrete Mathematik Universit\u00e4t Bonn Lenn\u00e9str. 2, D-53113 Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Forschungsinstitut fr Diskrete Mathematik Universitt Bonn Lennstr. 2, D-53113 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"Forschungsinstitut f\u00fcr Diskrete Mathematik Universit\u00e4t Bonn Lenn\u00e9str. 2, D-53113 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032828042"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":null,"apc_paid":null,"fwci":0.8598,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.67109718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"11","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.856041431427002},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.702113926410675},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6762285232543945},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6030331254005432},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.462867796421051},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33655846118927},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04519614577293396}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.856041431427002},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.702113926410675},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6762285232543945},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6030331254005432},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.462867796421051},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33655846118927},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04519614577293396},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/1852","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1852","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1n11/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/1852","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1852","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1n11/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1559537901.pdf","grobid_xml":"https://content.openalex.org/works/W1559537901.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W154962059","https://openalex.org/W1976891005","https://openalex.org/W1984697505","https://openalex.org/W2069038449","https://openalex.org/W4210634265","https://openalex.org/W4242192500","https://openalex.org/W6600638450"],"related_works":["https://openalex.org/W3161230432","https://openalex.org/W1487201914","https://openalex.org/W4367190712","https://openalex.org/W280458463","https://openalex.org/W1170131723","https://openalex.org/W4301429470","https://openalex.org/W2168900540","https://openalex.org/W2125310826","https://openalex.org/W2380536887","https://openalex.org/W3111310291"],"abstract_inverted_index":{"We":[0],"propose":[1],"two":[2],"alternative":[3],"measures":[4,21],"of":[5,9,14,29,36],"the":[6,23,26,30,34],"local":[7],"irregularity":[8,28],"a":[10],"graph":[11,31],"in":[12],"terms":[13],"its":[15,37],"vertex":[16,41],"degrees":[17],"and":[18,25,39],"relate":[19],"these":[20],"to":[22],"order":[24],"global":[27],"measured":[32],"by":[33],"difference":[35],"maximum":[38],"minimum":[40],"degree.":[42]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}