{"id":"https://openalex.org/W1992400796","doi":"https://doi.org/10.1016/s0012-365x(01)00054-1","title":"On the divisibility of graphs","display_name":"On the divisibility of graphs","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1992400796","doi":"https://doi.org/10.1016/s0012-365x(01)00054-1","mag":"1992400796"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(01)00054-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(01)00054-1","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5088012278","display_name":"Ch\u0131\u0301nh T. Ho\u00e0ng","orcid":"https://orcid.org/0000-0001-6782-1194"},"institutions":[{"id":"https://openalex.org/I75381157","display_name":"Wilfrid Laurier University","ror":"https://ror.org/00fn7gb05","country_code":"CA","type":"education","lineage":["https://openalex.org/I75381157"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Ch\u0131\u0301nh T. Ho\u00e0ng","raw_affiliation_strings":["Department of Physics and Computing, Wilfrid Laurier University, Waterloo, Ont., Canada N2L 3C5","Department of Physics and Computing, Wilfrid Laurier University, Waterloo, Ont., Canada N2L 3C5#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Computing, Wilfrid Laurier University, Waterloo, Ont., Canada N2L 3C5","institution_ids":["https://openalex.org/I75381157"]},{"raw_affiliation_string":"Department of Physics and Computing, Wilfrid Laurier University, Waterloo, Ont., Canada N2L 3C5#TAB#","institution_ids":["https://openalex.org/I75381157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111437501","display_name":"Colin McDiarmid","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Colin McDiarmid","raw_affiliation_strings":["Department of Statistics, University of Oxford, UK","Department of Statistics University of Oxford UK"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Oxford, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Department of Statistics University of Oxford UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088012278"],"corresponding_institution_ids":["https://openalex.org/I75381157"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":1.0495,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.7471627,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"242","issue":"1-3","first_page":"145","last_page":"156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9962999820709229,"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":0.8524389266967773},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8407158255577087},{"id":"https://openalex.org/keywords/divisibility-rule","display_name":"Divisibility rule","score":0.7438697814941406},{"id":"https://openalex.org/keywords/perfect-graph","display_name":"Perfect graph","score":0.6473134756088257},{"id":"https://openalex.org/keywords/perfect-graph-theorem","display_name":"Perfect graph theorem","score":0.574698269367218},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5742168426513672},{"id":"https://openalex.org/keywords/trivially-perfect-graph","display_name":"Trivially perfect graph","score":0.5423899292945862},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.5308393239974976},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.5140637159347534},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4891665279865265},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4781171381473541},{"id":"https://openalex.org/keywords/clique-number","display_name":"Clique number","score":0.4706054627895355},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4469951391220093},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.43212050199508667},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.4275752604007721},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.4109515845775604},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.38853126764297485},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.22338664531707764}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8524389266967773},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8407158255577087},{"id":"https://openalex.org/C9991821","wikidata":"https://www.wikidata.org/wiki/Q858520","display_name":"Divisibility rule","level":2,"score":0.7438697814941406},{"id":"https://openalex.org/C32972407","wikidata":"https://www.wikidata.org/wiki/Q1187620","display_name":"Perfect graph","level":5,"score":0.6473134756088257},{"id":"https://openalex.org/C161487630","wikidata":"https://www.wikidata.org/wiki/Q2800071","display_name":"Perfect graph theorem","level":5,"score":0.574698269367218},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5742168426513672},{"id":"https://openalex.org/C170903109","wikidata":"https://www.wikidata.org/wiki/Q7844666","display_name":"Trivially perfect graph","level":5,"score":0.5423899292945862},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.5308393239974976},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.5140637159347534},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4891665279865265},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4781171381473541},{"id":"https://openalex.org/C2985491264","wikidata":"https://www.wikidata.org/wiki/Q761631","display_name":"Clique number","level":3,"score":0.4706054627895355},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4469951391220093},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.43212050199508667},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.4275752604007721},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.4109515845775604},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.38853126764297485},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.22338664531707764}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0012-365x(01)00054-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(01)00054-1","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:dd3ea4e4-85ee-446e-8495-d93e7e152a4d","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:dd3ea4e4-85ee-446e-8495-d93e7e152a4d","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324081","display_name":"Agence Nationale pour la Gestion des D\u00e9chets Radioactifs","ror":"https://ror.org/04qkhgw46"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W94262720","https://openalex.org/W345637930","https://openalex.org/W968859509","https://openalex.org/W1997998268","https://openalex.org/W2022194745","https://openalex.org/W2057394949","https://openalex.org/W2065306274","https://openalex.org/W2066679460","https://openalex.org/W2068121436","https://openalex.org/W2100437838","https://openalex.org/W2112575355","https://openalex.org/W2905110430","https://openalex.org/W3144881883"],"related_works":["https://openalex.org/W2356906936","https://openalex.org/W2105838663","https://openalex.org/W199404365","https://openalex.org/W3153161399","https://openalex.org/W2006942360","https://openalex.org/W2047104722","https://openalex.org/W1555810828","https://openalex.org/W966310719","https://openalex.org/W1557323685","https://openalex.org/W2007206992"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
