{"id":"https://openalex.org/W2123599218","doi":"https://doi.org/10.1002/jgt.3190140403","title":"On the decomposition of <i>n</i>\u2010cubes into isomorphic trees","display_name":"On the decomposition of <i>n</i>\u2010cubes into isomorphic trees","publication_year":1990,"publication_date":"1990-09-01","ids":{"openalex":"https://openalex.org/W2123599218","doi":"https://doi.org/10.1002/jgt.3190140403","mag":"2123599218"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190140403","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190140403","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","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/A5057331787","display_name":"John Frederick Fink","orcid":null},"institutions":[{"id":"https://openalex.org/I4210130704","display_name":"University of Michigan\u2013Dearborn","ror":"https://ror.org/035wtm547","country_code":"US","type":"education","lineage":["https://openalex.org/I4210130704"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John Frederick Fink","raw_affiliation_strings":["Department of Mathematics And Statistics University of Michigan\u2014Dearborn Dearborn, Michigan 48128","Department of Mathematics and Statistics, University of Michigan - Dearborn, Dearborn, Michigan 48128"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics And Statistics University of Michigan\u2014Dearborn Dearborn, Michigan 48128","institution_ids":["https://openalex.org/I4210130704"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Michigan - Dearborn, Dearborn, Michigan 48128","institution_ids":["https://openalex.org/I4210130704"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057331787"],"corresponding_institution_ids":["https://openalex.org/I4210130704"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.9958,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.77386333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"14","issue":"4","first_page":"405","last_page":"411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9987000226974487,"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":0.9987000226974487,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/combinatorics","display_name":"Combinatorics","score":0.8572445511817932},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8237578868865967},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7009941339492798},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.6458005905151367},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.5607671141624451},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5432121157646179},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4433605670928955},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39402151107788086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0811542272567749}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8572445511817932},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8237578868865967},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7009941339492798},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.6458005905151367},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.5607671141624451},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5432121157646179},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4433605670928955},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39402151107788086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0811542272567749},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190140403","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190140403","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W35928485","https://openalex.org/W140456478","https://openalex.org/W1964610196","https://openalex.org/W1967237366","https://openalex.org/W1999667176","https://openalex.org/W2064621675","https://openalex.org/W2080915455","https://openalex.org/W2137782524","https://openalex.org/W2334820307","https://openalex.org/W2990709529","https://openalex.org/W3048082429","https://openalex.org/W4238093017","https://openalex.org/W6781388019"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2012063272","https://openalex.org/W2475705533","https://openalex.org/W2997993211","https://openalex.org/W186129870","https://openalex.org/W3200522959","https://openalex.org/W4389944781","https://openalex.org/W2001689746"],"abstract_inverted_index":{"Abstract":[0],"We":[1,38],"prove":[2],"that":[3],"if":[4],"T":[5],"is":[6,34],"any":[7],"tree":[8],"having":[9],"n":[10,13,18,21,50],"edges":[11],"(":[12],"\u2265":[14],"1),":[15],"then":[16],"the":[17],"\u2010cube":[19],"Q":[20,49],"can":[22],"be":[23],"decomposed":[24],"into":[25,51],"2":[26],"n\u20101":[27],"edge\u2010disjoint":[28],"induced":[29],"subgraphs,":[30],"each":[31],"of":[32,48,56,60],"which":[33],"isomorphic":[35,53],"to":[36,42,54],"T.":[37],"use":[39],"this":[40],"statement":[41],"obtain":[43],"two":[44],"results":[45],"concerning":[46],"decompositions":[47],"subgraphs":[52],"members":[55],"a":[57],"specified":[58],"family":[59],"trees.":[61]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}