{"id":"https://openalex.org/W2594431613","doi":"https://doi.org/10.1142/s1793830917500318","title":"Radio k-chromatic number of cycles for large k","display_name":"Radio k-chromatic number of cycles for large k","publication_year":2017,"publication_date":"2017-03-07","ids":{"openalex":"https://openalex.org/W2594431613","doi":"https://doi.org/10.1142/s1793830917500318","mag":"2594431613"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830917500318","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500318","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5016584342","display_name":"Nathaniel Karst","orcid":"https://orcid.org/0000-0003-3838-1032"},"institutions":[{"id":"https://openalex.org/I96062909","display_name":"Babson College","ror":"https://ror.org/01f0syq13","country_code":"US","type":"education","lineage":["https://openalex.org/I96062909"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nathaniel Karst","raw_affiliation_strings":["Mathematics and Science Division, Babson College, Babson Park, MA 02457, USA"],"affiliations":[{"raw_affiliation_string":"Mathematics and Science Division, Babson College, Babson Park, MA 02457, USA","institution_ids":["https://openalex.org/I96062909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079789655","display_name":"Joshua Langowitz","orcid":null},"institutions":[{"id":"https://openalex.org/I137428128","display_name":"Franklin W. Olin College of Engineering","ror":"https://ror.org/000zamq06","country_code":"US","type":"education","lineage":["https://openalex.org/I137428128"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joshua Langowitz","raw_affiliation_strings":["Franklin W. Olin College of Engineering, Olin Way, Needham, MA 02492, USA"],"affiliations":[{"raw_affiliation_string":"Franklin W. Olin College of Engineering, Olin Way, Needham, MA 02492, USA","institution_ids":["https://openalex.org/I137428128"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057011565","display_name":"Jessica Oehrlein","orcid":"https://orcid.org/0000-0002-8604-8579"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jessica Oehrlein","raw_affiliation_strings":["Fu Foundation School of Engineering and Applied Sciences, Columbia University, New York, NY 10027, USA"],"affiliations":[{"raw_affiliation_string":"Fu Foundation School of Engineering and Applied Sciences, Columbia University, New York, NY 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064485902","display_name":"Denise Sakai Troxell","orcid":null},"institutions":[{"id":"https://openalex.org/I96062909","display_name":"Babson College","ror":"https://ror.org/01f0syq13","country_code":"US","type":"education","lineage":["https://openalex.org/I96062909"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Denise Sakai Troxell","raw_affiliation_strings":["Mathematics and Science Division, Babson College, Babson Park, MA 02457, USA"],"affiliations":[{"raw_affiliation_string":"Mathematics and Science Division, Babson College, Babson Park, MA 02457, USA","institution_ids":["https://openalex.org/I96062909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5016584342"],"corresponding_institution_ids":["https://openalex.org/I96062909"],"apc_list":null,"apc_paid":null,"fwci":0.9085,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75491121,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"09","issue":"03","first_page":"1750031","last_page":"1750031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991000294685364,"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":0.9983999729156494,"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/combinatorics","display_name":"Combinatorics","score":0.6894463300704956},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5242170095443726},{"id":"https://openalex.org/keywords/antipodal-point","display_name":"Antipodal point","score":0.5213183760643005},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4272443354129791},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42371857166290283},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3584076762199402}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6894463300704956},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5242170095443726},{"id":"https://openalex.org/C70943382","wikidata":"https://www.wikidata.org/wiki/Q505356","display_name":"Antipodal point","level":2,"score":0.5213183760643005},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4272443354129791},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42371857166290283},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3584076762199402},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830917500318","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500318","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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":16,"referenced_works":["https://openalex.org/W1557510447","https://openalex.org/W1964892002","https://openalex.org/W1998152720","https://openalex.org/W2019349113","https://openalex.org/W2028341678","https://openalex.org/W2032554222","https://openalex.org/W2034268496","https://openalex.org/W2038453821","https://openalex.org/W2056891496","https://openalex.org/W2060681532","https://openalex.org/W2081868613","https://openalex.org/W2084287981","https://openalex.org/W2126408028","https://openalex.org/W2148410650","https://openalex.org/W2396623494","https://openalex.org/W2726943575"],"related_works":["https://openalex.org/W2161334253","https://openalex.org/W4252046870","https://openalex.org/W2126408028","https://openalex.org/W2040722700","https://openalex.org/W4255081583","https://openalex.org/W2613751508","https://openalex.org/W257437400","https://openalex.org/W2980963558","https://openalex.org/W16605181","https://openalex.org/W150815011"],"abstract_inverted_index":{"For":[0],"a":[1,7,11,17],"positive":[2],"integer":[3],"[Formula:":[4,13,19,38,42,47,51,60,64,68,77,81,93,109,123,140,158,164,168,180],"see":[5,14,20,39,43,48,52,61,65,69,78,82,94,107,110,113,118,124,131,141,159,165,169,181],"text],":[6,44,119],"radio":[8,76,87,115,127],"k-labeling":[9],"of":[10,35,80,122,150],"graph":[12],"text]":[15,21,40,49,53,62,66,83,142,160,166,170],"is":[16,54,84,143],"function":[18],"from":[22],"its":[23],"vertex":[24,104],"set":[25],"to":[26],"the":[27,55,58,86,102,120],"non-negative":[28],"integers":[29],"such":[30],"that":[31,173],"for":[32,139,157,161],"all":[33,75,162],"pairs":[34],"distinct":[36],"vertices":[37,59],"and":[41,63,90,126,171],"we":[45],"have":[46],"where":[50],"distance":[56],"between":[57],"in":[67],"text].":[70,95,132,182],"The":[71,96],"minimum":[72],"span":[73],"over":[74],"text]-labelings":[79],"called":[85],"k-chromatic":[88],"number":[89],"denoted":[91],"by":[92],"most":[97],"extensively":[98],"studied":[99],"cases":[100],"are":[101,176],"classic":[103],"colorings":[105],"([Formula:":[106,112,117,130],"text]),":[108,114,125],"text](2,1)-labelings":[111],"labelings":[116,129],"diameter":[121],"antipodal":[128],"Determining":[133],"exact":[134,177],"values":[135,178],"or":[136],"tight":[137],"bounds":[138,156,175],"often":[144],"non-trivial":[145],"even":[146],"within":[147],"simple":[148],"families":[149],"graphs.":[151],"We":[152],"provide":[153],"general":[154],"lower":[155],"cycles":[163],"when":[167,179],"show":[172],"these":[174]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}