{"id":"https://openalex.org/W2114166869","doi":"https://doi.org/10.1016/0012-365x(79)90024-4","title":"The decompositions of line graphs, middle graphs and total graphs of complete graphs into forests","display_name":"The decompositions of line graphs, middle graphs and total graphs of complete graphs into forests","publication_year":1979,"publication_date":"1979-01-01","ids":{"openalex":"https://openalex.org/W2114166869","doi":"https://doi.org/10.1016/0012-365x(79)90024-4","mag":"2114166869"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(79)90024-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(79)90024-4","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":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2027.42/23693","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005795132","display_name":"Jin Akiyama","orcid":"https://orcid.org/0000-0002-0047-6717"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jin Akiyama","raw_affiliation_strings":["Department of Mathematics,  University of Michigan, Ann Arbor, MI 48109, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics,  University of Michigan, Ann Arbor, MI 48109, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050005200","display_name":"Takashi Hamada","orcid":"https://orcid.org/0000-0003-0909-2303"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takashi Hamada","raw_affiliation_strings":["Department of Applied Mathematics, Science University of Tokyo, Tokyo, 162 Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Science University of Tokyo, Tokyo, 162 Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":1.1724,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.78602099,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"3","first_page":"203","last_page":"208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9958999752998352,"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":0.9958999752998352,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.994700014591217,"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":0.9873999953269958,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8096114993095398},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.7336671352386475},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7166657447814941},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.6642651557922363},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.6556679010391235},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.6442091464996338},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.5874547958374023},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.5864633917808533},{"id":"https://openalex.org/keywords/maximal-independent-set","display_name":"Maximal independent set","score":0.5162656307220459},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4801049530506134},{"id":"https://openalex.org/keywords/trapezoid-graph","display_name":"Trapezoid graph","score":0.4176101088523865},{"id":"https://openalex.org/keywords/graph-product","display_name":"Graph product","score":0.41416120529174805},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.3469299376010895},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2668611407279968}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8096114993095398},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.7336671352386475},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7166657447814941},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.6642651557922363},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.6556679010391235},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.6442091464996338},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.5874547958374023},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.5864633917808533},{"id":"https://openalex.org/C18359143","wikidata":"https://www.wikidata.org/wiki/Q7888149","display_name":"Maximal independent set","level":5,"score":0.5162656307220459},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4801049530506134},{"id":"https://openalex.org/C10325715","wikidata":"https://www.wikidata.org/wiki/Q7835582","display_name":"Trapezoid graph","level":5,"score":0.4176101088523865},{"id":"https://openalex.org/C68103157","wikidata":"https://www.wikidata.org/wiki/Q569347","display_name":"Graph product","level":5,"score":0.41416120529174805},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.3469299376010895},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2668611407279968}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0012-365x(79)90024-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(79)90024-4","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:deepblue.lib.umich.edu:2027.42/23693","is_oa":true,"landing_page_url":"https://hdl.handle.net/2027.42/23693","pdf_url":"https://hdl.handle.net/2027.42/23693","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/23693","is_oa":true,"landing_page_url":"https://hdl.handle.net/2027.42/23693","pdf_url":"https://hdl.handle.net/2027.42/23693","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.7300000190734863}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2114166869.pdf"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W2010042187","https://openalex.org/W2042706982","https://openalex.org/W2084361200","https://openalex.org/W2799004609","https://openalex.org/W7046335232"],"related_works":["https://openalex.org/W1770696880","https://openalex.org/W603403972","https://openalex.org/W1919313975","https://openalex.org/W3130332934","https://openalex.org/W1490784263","https://openalex.org/W2031276298","https://openalex.org/W2625505879","https://openalex.org/W2362011785","https://openalex.org/W2743558860","https://openalex.org/W1968107207"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}