{"id":"https://openalex.org/W2080048055","doi":"https://doi.org/10.1002/jgt.3190190205","title":"Embedding edge\u2010colorings into 2\u2010edge\u2010connected <i>k</i>\u2010factorizations of <i>k<sub>kn+1</sub></i>","display_name":"Embedding edge\u2010colorings into 2\u2010edge\u2010connected <i>k</i>\u2010factorizations of <i>k<sub>kn+1</sub></i>","publication_year":1995,"publication_date":"1995-03-01","ids":{"openalex":"https://openalex.org/W2080048055","doi":"https://doi.org/10.1002/jgt.3190190205","mag":"2080048055"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190190205","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190190205","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/A5091292004","display_name":"C. A. Rodger","orcid":"https://orcid.org/0000-0002-7324-0465"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C. A. Rodger","raw_affiliation_strings":["Department of Discrete and Statistical Sciences Auburn University Auburn, Alabama","Department of Discrete and Statistical Sciences, Auburn University, Auburn, Alabama#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences Auburn University Auburn, Alabama","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, Auburn University, Auburn, Alabama#TAB#","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025316398","display_name":"Evan B. Wantland","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. B. Wantland","raw_affiliation_strings":["Department of Discrete and Statistical Sciences Auburn University Auburn, Alabama","Department of Discrete and Statistical Sciences, Auburn University, Auburn, Alabama#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences Auburn University Auburn, Alabama","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, Auburn University, Auburn, Alabama#TAB#","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091292004"],"corresponding_institution_ids":["https://openalex.org/I82497590"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.5228,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.68216798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":"2","first_page":"169","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.984000027179718,"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":0.9347000122070312,"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/embedding","display_name":"Embedding","score":0.8028808236122131},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7750637531280518},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7630736827850342},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.7179685831069946},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.6316128969192505},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.5092495679855347},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4067400097846985},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1313539743423462},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.085181325674057},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04725942015647888}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.8028808236122131},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7750637531280518},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7630736827850342},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.7179685831069946},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.6316128969192505},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.5092495679855347},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4067400097846985},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1313539743423462},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.085181325674057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04725942015647888},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/jgt.3190190205","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190190205","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":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W123929782","https://openalex.org/W170265681","https://openalex.org/W403078265","https://openalex.org/W1484040084","https://openalex.org/W1974651693","https://openalex.org/W1983162902","https://openalex.org/W1985986354","https://openalex.org/W1992519511","https://openalex.org/W2019556303","https://openalex.org/W2030668644","https://openalex.org/W2034827846","https://openalex.org/W2040888783","https://openalex.org/W2044484597","https://openalex.org/W2046209065","https://openalex.org/W2058692994","https://openalex.org/W2070580733","https://openalex.org/W2079751871","https://openalex.org/W2095645574","https://openalex.org/W2163569587","https://openalex.org/W2318203863","https://openalex.org/W4250151054"],"related_works":["https://openalex.org/W2140509105","https://openalex.org/W3146178872","https://openalex.org/W4235907447","https://openalex.org/W2072835713","https://openalex.org/W4205128724","https://openalex.org/W2040849466","https://openalex.org/W346008744","https://openalex.org/W4284887816","https://openalex.org/W891964471","https://openalex.org/W3082960839"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper":[3],"we":[4],"use":[5],"the":[6,28,42],"Hilton":[7],"method":[8],"of":[9,16,19,30,44],"amalgamations":[10],"to":[11],"give":[12],"a":[13,17,48],"different":[14],"proof":[15],"theorem":[18],"Nash\u2010Williams":[20],"that":[21],"finds":[22],"necessary":[23],"and":[24],"sufficient":[25],"conditions":[26],"for":[27],"embedding":[29],"an":[31,36],"edge\u2010colored":[32,37],"K":[33,38],"v":[34,39],"into":[35],"in":[40],"which":[41],"edges":[43],"each":[45],"color":[46],"induce":[47],"2\u2010edge\u2010connected":[49],"k":[50],"\u2010factor.":[51],"\u00a9":[52],"1995":[53],"John":[54],"Wiley":[55],"&amp;":[56],"Sons,":[57],"Inc.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
