{"id":"https://openalex.org/W2795624068","doi":"https://doi.org/10.1142/s1793830918500453","title":"Linear list r-hued coloring of sparse graphs","display_name":"Linear list r-hued coloring of sparse graphs","publication_year":2018,"publication_date":"2018-04-06","ids":{"openalex":"https://openalex.org/W2795624068","doi":"https://doi.org/10.1142/s1793830918500453","mag":"2795624068"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830918500453","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830918500453","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/A5100308229","display_name":"Hongping Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongping Ma","raw_affiliation_strings":["School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, P. R. China","institution_ids":["https://openalex.org/I118574674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016166995","display_name":"Xiaoxue Hu","orcid":"https://orcid.org/0000-0001-7848-6870"},"institutions":[{"id":"https://openalex.org/I168879160","display_name":"Zhejiang University of Science and Technology","ror":"https://ror.org/05mx0wr29","country_code":"CN","type":"education","lineage":["https://openalex.org/I168879160"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoxue Hu","raw_affiliation_strings":["School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, P. R. China","institution_ids":["https://openalex.org/I168879160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025509188","display_name":"Jiangxu Kong","orcid":null},"institutions":[{"id":"https://openalex.org/I55538621","display_name":"China Jiliang University","ror":"https://ror.org/05v1y0t93","country_code":"CN","type":"education","lineage":["https://openalex.org/I55538621"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiangxu Kong","raw_affiliation_strings":["Department of Mathematics, China Jiliang University, Hangzhou 310018, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, China Jiliang University, Hangzhou 310018, P. R. China","institution_ids":["https://openalex.org/I55538621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015166186","display_name":"Murong Xu","orcid":"https://orcid.org/0000-0001-9735-7214"},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Murong Xu","raw_affiliation_strings":["Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA","institution_ids":["https://openalex.org/I12097938"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100308229"],"corresponding_institution_ids":["https://openalex.org/I118574674"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06781437,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"04","first_page":"1850045","last_page":"1850045"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9965999722480774,"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":0.9951000213623047,"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":0.7441557049751282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7186771035194397},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.4647274315357208},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.46439841389656067},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44533848762512207},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4125111997127533},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3696192502975464},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.11696666479110718},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10646691918373108},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07852119207382202}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7441557049751282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7186771035194397},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.4647274315357208},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.46439841389656067},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44533848762512207},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4125111997127533},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3696192502975464},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.11696666479110718},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10646691918373108},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07852119207382202},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830918500453","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830918500453","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":[{"id":"https://openalex.org/G5503388785","display_name":null,"funder_award_id":"11701541","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5730296191","display_name":null,"funder_award_id":"LQ17A010005","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G7079098516","display_name":null,"funder_award_id":"11626225","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W969137341","https://openalex.org/W1982919378","https://openalex.org/W1998680513","https://openalex.org/W2005086949","https://openalex.org/W2028427262","https://openalex.org/W2074480183","https://openalex.org/W2094576488","https://openalex.org/W2097915624","https://openalex.org/W2101113517","https://openalex.org/W2141381908","https://openalex.org/W2149858405","https://openalex.org/W2155793958","https://openalex.org/W4232896595"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4256429076","https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W2399035783","https://openalex.org/W2348092930","https://openalex.org/W2012063272","https://openalex.org/W3129272755","https://openalex.org/W3161230432","https://openalex.org/W2138685729"],"abstract_inverted_index":{"An":[0],"[Formula:":[1,20,26,31,37,59,66,78,84,88,92,103,116,120,125,129,134,138],"see":[2,21,27,32,38,60,67,79,85,89,93,104,117,121,126,130,135,139],"text]-hued":[3,33,39,61],"coloring":[4,8,34,40],"is":[5,23,35,73],"a":[6,49,101],"proper":[7],"such":[9,41],"that":[10,42,75],"the":[11,17,56,96,111],"number":[12],"of":[13,19,45,51,69,100],"colors":[14],"used":[15],"by":[16,65],"neighbors":[18],"text]":[22,80,86,94,122],"at":[24],"least":[25],"text].":[28,90,105,131,140],"A":[29],"linear":[30,57],"an":[36],"each":[43],"pair":[44],"color":[46],"classes":[47],"induces":[48],"union":[50],"disjoint":[52],"paths.":[53],"We":[54],"study":[55],"list":[58],"chromatic":[62],"number,":[63],"denoted":[64],"text],":[68,118,127,136],"sparse":[70],"graphs.":[71],"It":[72],"clear":[74],"any":[76],"graph":[77,102],"with":[81],"maximum":[82,97],"degree":[83,99],"satisfies":[87],"Let":[91],"be":[95],"average":[98],"In":[106],"this":[107],"paper,":[108],"we":[109],"obtain":[110],"following":[112],"results:":[113],"(1)":[114],"If":[115,124,133],"then":[119,128,137],"(2)":[123],"(3)":[132]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
