{"id":"https://openalex.org/W1994484862","doi":"https://doi.org/10.1002/jgt.3190170507","title":"Rainbow coloring the cube","display_name":"Rainbow coloring the cube","publication_year":1993,"publication_date":"1993-11-01","ids":{"openalex":"https://openalex.org/W1994484862","doi":"https://doi.org/10.1002/jgt.3190170507","mag":"1994484862"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190170507","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190170507","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/A5109469173","display_name":"Ralph J. Faudree","orcid":null},"institutions":[{"id":"https://openalex.org/I94658018","display_name":"University of Memphis","ror":"https://ror.org/01cq23130","country_code":"US","type":"education","lineage":["https://openalex.org/I94658018"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. J. Faudree","raw_affiliation_strings":["Department of Mathematical Sciences, Memphis State University, Memphis, Tennessee"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Memphis State University, Memphis, Tennessee","institution_ids":["https://openalex.org/I94658018"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020847160","display_name":"Andr\u00e1s Gy\u00e1rf\u00e1s","orcid":"https://orcid.org/0000-0001-6173-1008"},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"A. Gy\u00e1rf\u00e1s","raw_affiliation_strings":["Computer and Automation Institute, Hungarian Academy of Sciences, Budapest, Hungary","Computer & Automation Inst., Hungarian Academy of Sciences, Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer and Automation Institute, Hungarian Academy of Sciences, Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"Computer & Automation Inst., Hungarian Academy of Sciences, Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007498176","display_name":"Linda Lesniak","orcid":"https://orcid.org/0000-0001-7409-6437"},"institutions":[{"id":"https://openalex.org/I177880774","display_name":"Drew University","ror":"https://ror.org/04gds4h28","country_code":"US","type":"education","lineage":["https://openalex.org/I177880774"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Lesniak","raw_affiliation_strings":["Department of Math and Computer Science, Drew University, Madison, New Jersey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Math and Computer Science, Drew University, Madison, New Jersey","institution_ids":["https://openalex.org/I177880774"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057185425","display_name":"R. H. Schelp","orcid":null},"institutions":[{"id":"https://openalex.org/I94658018","display_name":"University of Memphis","ror":"https://ror.org/01cq23130","country_code":"US","type":"education","lineage":["https://openalex.org/I94658018"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. H. Schelp","raw_affiliation_strings":["Department of Mathematical Sciences, Memphis State University, Memphis, Tennessee"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Memphis State University, Memphis, Tennessee","institution_ids":["https://openalex.org/I94658018"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.12736842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"17","issue":"5","first_page":"607","last_page":"612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.919700026512146,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.919700026512146,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rainbow","display_name":"Rainbow","score":0.9624927043914795},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.8182864189147949},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8118452429771423},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.7967429161071777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6619821786880493},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07605049014091492},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.054842203855514526},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.03562420606613159}],"concepts":[{"id":"https://openalex.org/C2776558979","wikidata":"https://www.wikidata.org/wiki/Q1052","display_name":"Rainbow","level":2,"score":0.9624927043914795},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.8182864189147949},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8118452429771423},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.7967429161071777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6619821786880493},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07605049014091492},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.054842203855514526},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.03562420606613159},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/jgt.3190170507","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190170507","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"},{"id":"pmh:oai:eprints.sztaki.hu:395","is_oa":false,"landing_page_url":"http://eprints.sztaki.hu/395/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2394414377","https://openalex.org/W2386551956","https://openalex.org/W2945204557","https://openalex.org/W1989888546","https://openalex.org/W2797212079","https://openalex.org/W2725202876","https://openalex.org/W1984408232","https://openalex.org/W2949720779","https://openalex.org/W2591829030","https://openalex.org/W2033759535"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"that":[3,25],"for":[4],"d":[5,8,15,22],"\u2265":[6],"4,":[7],"\u2260":[9],"5,":[10],"the":[11,14],"edges":[12],"of":[13],"\u2010dimensional":[16],"cube":[17],"can":[18],"be":[19],"colored":[20],"by":[21],"colors":[23],"so":[24],"all":[26],"quadrangles":[27],"have":[28],"four":[29],"distinct":[30],"colors.":[31],"\u00a9":[32],"1993":[33],"John":[34],"Wiley":[35],"&":[36],"Sons,":[37],"Inc.":[38]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}