{"id":"https://openalex.org/W2038948151","doi":"https://doi.org/10.1007/bf02115757","title":"Some properties of graph centroids","display_name":"Some properties of graph centroids","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W2038948151","doi":"https://doi.org/10.1007/bf02115757","mag":"2038948151"},"language":"en","primary_location":{"id":"doi:10.1007/bf02115757","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02115757","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039049512","display_name":"Wiktor Piotrowski","orcid":"https://orcid.org/0000-0001-9837-5609"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"W. Piotrowski","raw_affiliation_strings":["Institute of Computer Science, University of Wroc\u0142aw, Przesmyckiego 20, 51151, Wroc\u0142aw, Poland","Institute of Computer Science, University of Wroclaw, Wroclaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Wroc\u0142aw, Przesmyckiego 20, 51151, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]},{"raw_affiliation_string":"Institute of Computer Science, University of Wroclaw, Wroclaw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046784566","display_name":"Maciej M. Sys\u0142o","orcid":"https://orcid.org/0000-0002-2940-8400"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"M. M. Sys\u0142o","raw_affiliation_strings":["Institute of Computer Science, University of Wroc\u0142aw, Przesmyckiego 20, 51151, Wroc\u0142aw, Poland","Institute of Computer Science, University of Wroclaw, Wroclaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Wroc\u0142aw, Przesmyckiego 20, 51151, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]},{"raw_affiliation_string":"Institute of Computer Science, University of Wroclaw, Wroclaw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5133,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62862204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"33","issue":"3","first_page":"227","last_page":"236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T11476","display_name":"Graph theory and applications","score":0.9947999715805054,"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":0.9912999868392944,"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":0.8031667470932007},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7454794049263},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.6837383508682251},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6429064273834229},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6105852127075195},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.540496826171875},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5247794985771179},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4874174892902374},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4611636996269226},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11642441153526306}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8031667470932007},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7454794049263},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.6837383508682251},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6429064273834229},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6105852127075195},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.540496826171875},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5247794985771179},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4874174892902374},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4611636996269226},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11642441153526306},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02115757","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02115757","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W190198538","https://openalex.org/W231764875","https://openalex.org/W1192138067","https://openalex.org/W1566493102","https://openalex.org/W1972094496","https://openalex.org/W1996471450","https://openalex.org/W2013949481","https://openalex.org/W2035331304","https://openalex.org/W2036338572","https://openalex.org/W2063849229","https://openalex.org/W2118348286","https://openalex.org/W2123423738","https://openalex.org/W2143474538","https://openalex.org/W2313098266","https://openalex.org/W2320198223","https://openalex.org/W2322976817","https://openalex.org/W4231613056","https://openalex.org/W4247549312"],"related_works":["https://openalex.org/W2381926679","https://openalex.org/W2007009951","https://openalex.org/W2082644203","https://openalex.org/W2350539780","https://openalex.org/W3165040664","https://openalex.org/W3122652148","https://openalex.org/W1583866266","https://openalex.org/W4242386713","https://openalex.org/W2996505764","https://openalex.org/W2133919704"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
